* [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 80 additional inputs, on iter 1 have 176 / 256 * * * * [misc]points: Computing exacts on every 5 of 80 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 80 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 80 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 29 additional inputs, on iter 2 have 227 / 256 * * * * [misc]points: Computing exacts for 29 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 13 additional inputs, on iter 3 have 243 / 256 * * * * [misc]points: Computing exacts for 13 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 7 additional inputs, on iter 4 have 249 / 256 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 253 / 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 (242 enodes) * * [misc]simplify: iters left: 1 (363 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in sin * [misc]taylor: Taking taylor expansion of (* 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (* x cos) sin) (* (* x cos) sin)) in sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* (* x cos) 0) into 0 * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* (* x cos) 0) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 1) (* 0 0)) into (* x cos) * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 1) (* 0 0)) into (* x cos) * [misc]backup-simplify: Simplify (+ (* 0 (* x cos)) (* (* x cos) 0)) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* x cos) (* x cos)) (* 0 0))) into (* (pow x 2) (pow cos 2)) * [misc]backup-simplify: Simplify (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) into (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in cos * [misc]taylor: Taking taylor expansion of (* 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (* x cos) sin) (* (* x cos) sin)) in cos * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* x sin)) into (* x sin) * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* x sin)) into (* x sin) * [misc]backup-simplify: Simplify (+ (* 0 (* x sin)) (* (* x sin) 0)) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* x 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* x 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* x sin) (* x sin)) (* 0 0))) into (* (pow x 2) (pow sin 2)) * [misc]backup-simplify: Simplify (/ (cos (* 2 x)) (* (pow x 2) (pow sin 2))) into (/ (cos (* 2 x)) (* (pow x 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]taylor: Taking taylor expansion of (* (* (* x cos) sin) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (+ (* 0 (* cos sin)) (* (* cos sin) 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* cos sin) (* cos sin)) (* 0 0))) into (* (pow cos 2) (pow sin 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow cos 2) (pow sin 2))) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]taylor: Taking taylor expansion of (* (* (* x cos) sin) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (+ (* 0 (* cos sin)) (* (* cos sin) 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* cos sin) (* cos sin)) (* 0 0))) into (* (pow cos 2) (pow sin 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow cos 2) (pow sin 2))) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* cos sin) 0) (+ (* 0 (* cos sin)) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow cos 2) (pow sin 2))) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* cos sin) 0) (+ (* 0 0) (+ (* 0 (* cos sin)) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 2) (* (pow cos 2) (pow sin 2))) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))))) into (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (pow cos 2) (pow sin 2)))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow sin 2))) into (/ 2 (pow sin 2)) * [misc]backup-simplify: Simplify (- (/ 2 (pow sin 2))) into (- (* 2 (/ 1 (pow sin 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow sin 2)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow sin 2))) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* cos sin) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* cos sin)) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (pow cos 2) (pow sin 2))) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))) (* (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) (/ 0 (* (pow cos 2) (pow sin 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 2 4) 24)) 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 2/3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* cos sin) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* cos sin)) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 2/3 (* (pow cos 2) (pow sin 2))) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))) (* (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) (/ 0 (* (pow cos 2) (pow sin 2)))) (* 0 (/ 0 (* (pow cos 2) (pow sin 2)))))) into (* 2/3 (/ 1 (* (pow cos 2) (pow sin 2)))) * [misc]taylor: Taking taylor expansion of (* 2/3 (/ 1 (* (pow cos 2) (pow sin 2)))) in cos * [misc]taylor: Taking taylor expansion of 2/3 in cos * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]backup-simplify: Simplify (* 2/3 (/ 1 (pow sin 2))) into (/ 2/3 (pow sin 2)) * [misc]taylor: Taking taylor expansion of (/ 2/3 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of 2/3 in sin * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 2/3 1) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]backup-simplify: Simplify (+ (* 2/3 (pow (* (/ 1 sin) (* (/ 1 cos) x)) 2)) (+ (* -2 (pow (* (/ 1 sin) (* (/ 1 cos) 1)) 2)) (* 1 (pow (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) 2)))) into (- (+ (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) (* 2/3 (/ (pow x 2) (* (pow sin 2) (pow cos 2))))) (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) * [misc]approximate: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) 1) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) 1) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) (/ 1 (* x cos))) into (/ 1 (* (pow x 2) (pow cos 2))) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* (pow x 2) (pow cos 2)))) into (* (pow x 2) (* (pow cos 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 sin)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 sin)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (* (/ 1 (* x sin)) (/ 1 (* x sin))) into (/ 1 (* (pow x 2) (pow sin 2))) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* (pow x 2) (pow sin 2)))) into (* (pow x 2) (* (pow sin 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (* (/ 1 (* cos sin)) (/ 1 (* cos sin))) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* (pow cos 2) (pow sin 2)))) into (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (* (/ 1 (* cos sin)) (/ 1 (* cos sin))) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* (pow cos 2) (pow sin 2)))) into (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow sin 2) (cos (/ 2 x))) in cos * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (cos (/ 2 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 2 x) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (pow sin 2) (cos (/ 2 x))) into (* (pow sin 2) (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1 (* (pow sin 2) (cos (/ 2 x)))) into (* (pow sin 2) (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* (pow sin 2) (cos (/ 2 x))) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 2 x) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* 1 (cos (/ 2 x))) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* cos sin)) 0) (* 0 (/ 1 (* cos sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* (pow cos 2) (pow sin 2)))) (+ (* (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) (/ 0 (/ 1 (* (pow cos 2) (pow sin 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow sin 2) 0) (* 0 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* (pow sin 2) (cos (/ 2 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* cos sin)) 0) (+ (* 0 0) (* 0 (/ 1 (* cos sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* (pow cos 2) (pow sin 2)))) (+ (* (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) (/ 0 (/ 1 (* (pow cos 2) (pow sin 2))))) (* 0 (/ 0 (/ 1 (* (pow cos 2) (pow sin 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow sin 2) 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow sin 2) (cos (/ 2 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ 2 (/ 1 x))) (pow (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) 2)) into (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * [misc]approximate: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) -1) into (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) -1) into (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ -1 (* x cos)) (/ -1 (* x cos))) into (/ 1 (* (pow x 2) (pow cos 2))) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ 1 (* (pow x 2) (pow cos 2)))) into (* (cos (/ -2 x)) (* (pow x 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ -1 sin)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ -1 sin)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (* (/ -1 (* x sin)) (/ -1 (* x sin))) into (/ 1 (* (pow x 2) (pow sin 2))) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ 1 (* (pow x 2) (pow sin 2)))) into (* (cos (/ -2 x)) (* (pow x 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (* (/ -1 (* cos sin)) (/ -1 (* cos sin))) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ 1 (* (pow cos 2) (pow sin 2)))) into (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (* (/ -1 (* cos sin)) (/ -1 (* cos sin))) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ 1 (* (pow cos 2) (pow sin 2)))) into (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in cos * [misc]taylor: Taking taylor expansion of (/ -2 x) in cos * [misc]taylor: Taking taylor expansion of -2 in cos * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) (pow sin 2)) into (* (cos (/ -2 x)) (pow sin 2)) * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ -2 x) in sin * [misc]taylor: Taking taylor expansion of -2 in sin * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* cos sin)) 0) (* 0 (/ -1 (* cos sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* (pow cos 2) (pow sin 2)))) (+ (* (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) (/ 0 (/ 1 (* (pow cos 2) (pow sin 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 (pow sin 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* cos sin)) 0) (+ (* 0 0) (* 0 (/ -1 (* cos sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* (pow cos 2) (pow sin 2)))) (+ (* (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) (/ 0 (/ 1 (* (pow cos 2) (pow sin 2))))) (* 0 (/ 0 (/ 1 (* (pow cos 2) (pow sin 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ -2 (/ 1 (- x)))) (pow (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x)))) 2)) into (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* (* x cos) sin) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 sin)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 x))))) into (* x (* sin cos)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ -1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ -1 sin) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (/ -1 sin) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- sin))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- x)))))) into (* x (* sin cos)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (* x cos) sin) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 sin)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 x))))) into (* x (* sin cos)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ -1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ -1 sin) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (/ -1 sin) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- sin))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- x)))))) into (* x (* sin cos)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (* (* x cos) sin) (* (* x cos) sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* x cos) sin) (* (* x cos) sin)) in sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (* x cos) sin) (* (* x cos) sin)) in cos * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* (* x cos) sin) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* (* x cos) sin) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (+ (* 0 (* cos sin)) (* (* cos sin) 0)) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* cos sin) (* cos sin)) (* 0 0))) into (* (pow cos 2) (pow sin 2)) * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (* (/ 1 (* cos sin)) (/ 1 (* cos sin))) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* cos sin)) 0) (* 0 (/ 1 (* cos sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* cos sin)) 0) (+ (* 0 0) (* 0 (/ 1 (* cos sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* cos sin)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* cos sin)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* cos sin))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 sin)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 x)))) 2)) into (* (pow x 2) (* (pow sin 2) (pow cos 2))) * [misc]approximate: Taking taylor expansion of (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (* (/ -1 (* cos sin)) (/ -1 (* cos sin))) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* cos sin)) 0) (* 0 (/ -1 (* cos sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* cos sin)) 0) (+ (* 0 0) (* 0 (/ -1 (* cos sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* cos sin)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 (* cos sin)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 (* cos sin))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (pow (* (/ 1 (/ 1 (- sin))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- x))))) 2)) into (* (pow x 2) (* (pow sin 2) (pow cos 2))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos (* 2 x))) (+ (log (* (* x cos) sin)) (log (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * [exit]simplify: Simplified to (- (log (cos (* 2 x))) (+ (log (* cos (* x sin))) (log (* cos (* x sin))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (exp (- (log (cos (* 2 x))) (+ (log (* cos (* x sin))) (log (* cos (* x sin))))))) * * * * [misc]progress: [ 5 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos (* 2 x))) (log (* (* (* x cos) sin) (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (454 enodes) * [exit]simplify: Simplified to (- (log (cos (* 2 x))) (log (* (* (* sin cos) x) (* (* sin cos) x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (exp (- (log (cos (* 2 x))) (log (* (* (* sin cos) x) (* (* sin cos) x)))))) * * * * [misc]progress: [ 6 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (* (* (/ (cos (* 2 x)) (* x (* cos sin))) (/ (cos (* 2 x)) (* x (* cos sin)))) (/ (cos (* 2 x)) (pow (* x (* cos sin)) 4))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (cbrt (* (* (/ (cos (* 2 x)) (* x (* cos sin))) (/ (cos (* 2 x)) (* x (* cos sin)))) (/ (cos (* 2 x)) (pow (* x (* cos sin)) 4))))) * * * * [misc]progress: [ 9 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* (* x cos) sin) (* (* x cos) sin))) (* (* (* x cos) sin) (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (pow (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos)) 3) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (cbrt (pow (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos)) 3))) * * * * [misc]progress: [ 10 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos x) (cos x)) (* (* (* x cos) sin) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (358 enodes) * [exit]simplify: Simplified to (* (/ (/ (cos x) (* cos x)) sin) (/ (/ (cos x) (* cos x)) sin)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (- (* (/ (/ (cos x) (* cos x)) sin) (/ (/ (cos x) (* cos x)) sin)) (/ (* (sin x) (sin x)) (* (* (* x cos) sin) (* (* x cos) sin))))) * * * * [misc]progress: [ 15 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos (* 2 x))) (* cos (* sin x))) (cbrt (cos (* 2 x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (* (/ (cbrt (cos (* 2 x))) (* cos (* sin x))) (cbrt (cos (* 2 x)))) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) (* (* sin cos) x)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* sin cos) x)))) * * * * [misc]progress: [ 16 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos (* 2 x))) (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos (* 2 x))) (* (* sin cos) x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (sqrt (cos (* 2 x))) (* (* sin cos) x)) (/ (sqrt (cos (* 2 x))) (* (* x cos) sin)))) * [enter]simplify: Simplifying (/ (sqrt (cos (* 2 x))) (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos (* 2 x))) (* (* sin cos) x)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ (sqrt (cos (* 2 x))) (* (* x cos) sin)) (/ (sqrt (cos (* 2 x))) (* (* sin cos) x)))) * * * * [misc]progress: [ 17 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* cos x)) sin) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (/ 1 (* cos x)) sin) (/ (cos (* 2 x)) (* (* x cos) sin)))) * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* x cos) sin)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ 1 (* (* x cos) sin)) (/ (cos (* 2 x)) (* (* x cos) sin)))) * * * * [misc]progress: [ 18 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* x cos) sin) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* x cos) sin) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 22 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (/ (* (* (* x cos) sin) (* (* x cos) sin)) (cbrt (cos (* 2 x)))))) * * * * [misc]progress: [ 23 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (* 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cos (* 2 x))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (sqrt (cos (* 2 x))) (/ (* (* (* x cos) sin) (* (* x cos) sin)) (sqrt (cos (* 2 x)))))) * * * * [misc]progress: [ 24 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* x cos) sin) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* x cos) sin) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (pow (* (* x cos) sin) (+ 1 1)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (/ (cos (* 2 x)) (pow (* (* x cos) sin) 2))) * * * * [misc]progress: [ 50 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* x cos) sin) (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (* (* (* sin x) cos) (* (* sin x) cos)) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (pow (* (* (* sin x) cos) (* (* sin x) cos)) 1))) * * * * [misc]progress: [ 51 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* x cos) sin) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* x cos) sin) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (pow (* (* x cos) sin) (+ 1 1)))) * * * * [misc]progress: [ 53 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (* x cos) sin)) (log (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (+ (log (* (* sin x) cos)) (log (* (* sin x) cos))) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (exp (+ (log (* (* sin x) cos)) (log (* (* sin x) cos)))))) * * * * [misc]progress: [ 55 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (372 enodes) * [exit]simplify: Simplified to (pow (* (* x (* sin cos)) (* x (* sin cos))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (cbrt (pow (* (* x (* sin cos)) (* x (* sin cos))) 3)))) * * * * [misc]progress: [ 58 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* x cos) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* x cos) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* x cos) (* sin (* (* x cos) sin))))) * * * * [misc]progress: [ 64 / 76 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) (* 2/3 (/ (pow x 2) (* (pow sin 2) (pow cos 2))))) (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (+ (fma (/ 2/3 (* (* cos sin) (* cos sin))) (* x x) (/ -2 (* (* cos sin) (* cos sin)))) (/ (/ 1 (* x x)) (* (* cos sin) (* cos sin)))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (+ (fma (/ 2/3 (* (* cos sin) (* cos sin))) (* x x) (/ -2 (* (* cos sin) (* cos sin)))) (/ (/ 1 (* x x)) (* (* cos sin) (* cos sin))))) * * * * [misc]progress: [ 66 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos)))) * * * * [misc]progress: [ 67 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos)))) * * * * [misc]progress: [ 68 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* x cos) sin) 0))) * * * * [misc]progress: [ 69 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* cos sin) x)))) * * * * [misc]progress: [ 70 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* cos sin) x)))) * * * * [misc]progress: [ 71 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (* 0 (* (* x cos) sin)))) * * * * [misc]progress: [ 72 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* cos sin) x) (* (* x cos) sin)))) * * * * [misc]progress: [ 73 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* cos sin) x) (* (* x cos) sin)))) * * * * [misc]progress: [ 74 / 76 ] 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: [ 75 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow x 2) (* (pow sin 2) (pow cos 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (* (* (* cos x) sin) (* (* cos x) sin)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* cos x) sin) (* (* cos x) sin)))) * * * * [misc]progress: [ 76 / 76 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow x 2) (* (pow sin 2) (pow cos 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (* (* (* cos x) sin) (* (* cos x) sin)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* cos x) sin) (* (* cos x) sin)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in sin * [misc]taylor: Taking taylor expansion of (* 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* (* x cos) 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 1) (* 0 0)) into (* x cos) * [misc]backup-simplify: Simplify (/ (cos (* 2 x)) (* x cos)) into (/ (cos (* 2 x)) (* x cos)) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in cos * [misc]taylor: Taking taylor expansion of (* 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* x sin)) into (* x sin) * [misc]backup-simplify: Simplify (/ (cos (* 2 x)) (* x sin)) into (/ (cos (* 2 x)) (* x sin)) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 2) (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (- (* 2 (/ 1 (* cos sin)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* cos sin)))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* cos sin))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 2 (/ 1 sin)) into (/ 2 sin) * [misc]backup-simplify: Simplify (- (/ 2 sin)) into (- (* 2 (/ 1 sin))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* (- (* 2 (/ 1 (* cos sin)))) (/ 0 (* cos sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 (* (/ 1 sin) (* (/ 1 cos) x))) (* 1 (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))))) into (- (/ 1 (* x (* sin cos))) (* 2 (/ x (* sin cos)))) * [misc]approximate: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) 1) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* x cos))) into (* x (* cos (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 sin)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* x sin))) into (* x (* sin (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* cos sin))) into (* cos (* sin (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* cos sin))) into (* cos (* sin (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (* cos (* sin (cos (/ 2 x)))) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* sin (cos (/ 2 x))) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (cos (/ 2 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 2 x) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify (* sin (cos (/ 2 x))) into (* sin (cos (/ 2 x))) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* sin (cos (/ 2 x))))) into (* sin (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* sin (cos (/ 2 x))) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 2 x) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (cos (/ 2 x)))) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* cos (* sin (cos (/ 2 x)))) (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* sin (cos (/ 2 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* cos (* sin (cos (/ 2 x)))) (/ 0 (/ 1 (* cos sin)))) (* 0 (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 2 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* sin (cos (/ 2 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ 2 (/ 1 x))) (* (/ 1 sin) (* (/ 1 cos) (/ 1 x)))) into (/ (cos (* 2 x)) (* cos (* x sin))) * [misc]approximate: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) -1) into (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 (* x cos))) into (* -1 (* (cos (/ -2 x)) (* x cos))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ -1 sin)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 (* x sin))) into (* -1 (* (cos (/ -2 x)) (* x sin))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 (* cos sin))) into (* -1 (* (cos (/ -2 x)) (* cos sin))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 (* cos sin))) into (* -1 (* (cos (/ -2 x)) (* cos sin))) * [misc]taylor: Taking taylor expansion of (* -1 (* (cos (/ -2 x)) (* cos sin))) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in cos * [misc]taylor: Taking taylor expansion of (/ -2 x) in cos * [misc]taylor: Taking taylor expansion of -2 in cos * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) sin) (* 0 0)) into (* (cos (/ -2 x)) sin) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (cos (/ -2 x)) sin)) (* 0 0)) into (- (* (cos (/ -2 x)) sin)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ -2 x)) sin)) in sin * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) sin) in sin * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ -2 x) in sin * [misc]taylor: Taking taylor expansion of -2 in sin * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 1) (* 0 0)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (- (cos (/ -2 x))) into (- (cos (/ -2 x))) * [misc]backup-simplify: Simplify (- (cos (/ -2 x))) into (- (cos (/ -2 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* -1 (* (cos (/ -2 x)) (* cos sin))) (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 sin) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (* (cos (/ -2 x)) sin)) (* 0 0))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* -1 (* (cos (/ -2 x)) (* cos sin))) (/ 0 (/ -1 (* cos sin)))) (* 0 (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (+ (* 0 sin) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (* (cos (/ -2 x)) sin)) (* 0 0)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (cos (/ -2 (/ 1 (- x))))) (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x))))) into (/ (cos (* 2 x)) (* cos (* x sin))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (* x cos) sin) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 sin)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 x))))) into (* x (* sin cos)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ -1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ -1 sin) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (/ -1 sin) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- sin))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- x)))))) into (* x (* sin cos)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* (* x cos) sin) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 sin)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 x))))) into (* x (* sin cos)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ -1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ -1 sin) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (/ -1 sin) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- sin))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- x)))))) into (* x (* sin cos)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin)) in sin * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in sin * [misc]taylor: Taking taylor expansion of (* 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* (* x cos) 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 1) (* 0 0)) into (* x cos) * [misc]backup-simplify: Simplify (/ (cos (* 2 x)) (* x cos)) into (/ (cos (* 2 x)) (* x cos)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* (* x cos) 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 1) (* 0 0)) into (* x cos) * [misc]backup-simplify: Simplify (/ (/ (cos (* 2 x)) (* x cos)) (* x cos)) into (/ (cos (* 2 x)) (* (pow x 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin)) in cos * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in cos * [misc]taylor: Taking taylor expansion of (* 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* x sin)) into (* x sin) * [misc]backup-simplify: Simplify (/ (cos (* 2 x)) (* x sin)) into (/ (cos (* 2 x)) (* x sin)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* x sin)) into (* x sin) * [misc]backup-simplify: Simplify (/ (/ (cos (* 2 x)) (* x sin)) (* x sin)) into (/ (cos (* 2 x)) (* (pow x 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ (/ 1 (* cos sin)) (* cos sin)) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ (/ 1 (* cos sin)) (* cos sin)) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* cos sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 2) (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (- (* 2 (/ 1 (* cos sin)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 2 (/ 1 (* cos sin)))) (* cos sin)) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (pow cos 2) (pow sin 2)))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow sin 2))) into (/ 2 (pow sin 2)) * [misc]backup-simplify: Simplify (- (/ 2 (pow sin 2))) into (- (* 2 (/ 1 (pow sin 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow sin 2)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow sin 2))) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* (- (* 2 (/ 1 (* cos sin)))) (/ 0 (* cos sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) (/ 0 (* cos sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 2 4) 24)) 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 2/3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 2/3 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* (- (* 2 (/ 1 (* cos sin)))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (* 2/3 (/ 1 (* cos sin))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 2/3 (/ 1 (* cos sin))) (* cos sin)) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (* 2/3 (/ 1 (* (pow cos 2) (pow sin 2)))) * [misc]taylor: Taking taylor expansion of (* 2/3 (/ 1 (* (pow cos 2) (pow sin 2)))) in cos * [misc]taylor: Taking taylor expansion of 2/3 in cos * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]backup-simplify: Simplify (* 2/3 (/ 1 (pow sin 2))) into (/ 2/3 (pow sin 2)) * [misc]taylor: Taking taylor expansion of (/ 2/3 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of 2/3 in sin * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 2/3 1) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]backup-simplify: Simplify (+ (* 2/3 (pow (* (/ 1 sin) (* (/ 1 cos) x)) 2)) (+ (* -2 (pow (* (/ 1 sin) (* (/ 1 cos) 1)) 2)) (* 1 (pow (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) 2)))) into (- (+ (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) (* 2/3 (/ (pow x 2) (* (pow sin 2) (pow cos 2))))) (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) * [misc]approximate: Taking taylor expansion of (/ (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) 1) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* x cos))) into (* x (* cos (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) 1) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ (* x (* cos (cos (/ 2 x)))) (/ 1 (* x cos))) into (* (pow x 2) (* (pow cos 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 sin)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* x sin))) into (* x (* sin (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 sin)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (/ (* x (* sin (cos (/ 2 x)))) (/ 1 (* x sin))) into (* (pow x 2) (* (pow sin 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* cos sin))) into (* cos (* sin (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* cos (* sin (cos (/ 2 x)))) (/ 1 (* cos sin))) into (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* cos sin))) into (* cos (* sin (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* cos (* sin (cos (/ 2 x)))) (/ 1 (* cos sin))) into (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow sin 2) (cos (/ 2 x))) in cos * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (cos (/ 2 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 2 x) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (pow sin 2) (cos (/ 2 x))) into (* (pow sin 2) (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1 (* (pow sin 2) (cos (/ 2 x)))) into (* (pow sin 2) (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* (pow sin 2) (cos (/ 2 x))) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 2 x) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* 1 (cos (/ 2 x))) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* cos (* sin (cos (/ 2 x)))) (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow sin 2) 0) (* 0 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* (pow sin 2) (cos (/ 2 x))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* cos (* sin (cos (/ 2 x)))) (/ 0 (/ 1 (* cos sin)))) (* 0 (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* (pow cos 2) (* (pow sin 2) (cos (/ 2 x)))) (/ 0 (/ 1 (* cos sin)))) (* 0 (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow sin 2) 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow sin 2) (cos (/ 2 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ 2 (/ 1 x))) (pow (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) 2)) into (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * [misc]approximate: Taking taylor expansion of (/ (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) -1) into (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 (* x cos))) into (* -1 (* (cos (/ -2 x)) (* x cos))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) -1) into (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (/ (* -1 (* (cos (/ -2 x)) (* x cos))) (/ -1 (* x cos))) into (* (cos (/ -2 x)) (* (pow x 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ -1 sin)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 (* x sin))) into (* -1 (* (cos (/ -2 x)) (* x sin))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ -1 sin)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (/ (* -1 (* (cos (/ -2 x)) (* x sin))) (/ -1 (* x sin))) into (* (cos (/ -2 x)) (* (pow x 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 (* cos sin))) into (* -1 (* (cos (/ -2 x)) (* cos sin))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* -1 (* (cos (/ -2 x)) (* cos sin))) (/ -1 (* cos sin))) into (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 (* cos sin))) into (* -1 (* (cos (/ -2 x)) (* cos sin))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* -1 (* (cos (/ -2 x)) (* cos sin))) (/ -1 (* cos sin))) into (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in cos * [misc]taylor: Taking taylor expansion of (/ -2 x) in cos * [misc]taylor: Taking taylor expansion of -2 in cos * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) (pow sin 2)) into (* (cos (/ -2 x)) (pow sin 2)) * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ -2 x) in sin * [misc]taylor: Taking taylor expansion of -2 in sin * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* -1 (* (cos (/ -2 x)) (* cos sin))) (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 (pow sin 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* -1 (* (cos (/ -2 x)) (* cos sin))) (/ 0 (/ -1 (* cos sin)))) (* 0 (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* (cos (/ -2 x)) (* (pow cos 2) (pow sin 2))) (/ 0 (/ -1 (* cos sin)))) (* 0 (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ -2 (/ 1 (- x)))) (pow (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x)))) 2)) into (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos (* 2 x))) (log (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (- (log (cos (* 2 x))) (log (* x (* sin cos)))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (exp (- (log (cos (* 2 x))) (log (* x (* sin cos))))) (* (* x cos) sin))) * * * * [misc]progress: [ 5 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * [exit]simplify: Simplified to (pow (/ (cos (* 2 x)) (* cos (* sin x))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (cbrt (pow (/ (cos (* 2 x)) (* cos (* sin x))) 3)) (* (* x cos) sin))) * * * * [misc]progress: [ 8 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos x) (cos x)) (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (/ (/ (cos x) sin) (/ (* cos x) (cos x))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (- (/ (/ (cos x) sin) (/ (* cos x) (cos x))) (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* (* x cos) sin))) * * * * [misc]progress: [ 13 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* x cos)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos (* 2 x))) cos) (/ x (cbrt (cos (* 2 x))))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (/ (/ (cbrt (cos (* 2 x))) cos) (/ x (cbrt (cos (* 2 x))))) (/ (cbrt (cos (* 2 x))) sin)) (* (* x cos) sin))) * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) sin) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) sin) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* x cos)) (/ (cbrt (cos (* 2 x))) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 14 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos (* 2 x))) (* x cos)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos (* 2 x))) (* cos x)) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (/ (sqrt (cos (* 2 x))) (* cos x)) (/ (sqrt (cos (* 2 x))) sin)) (* (* x cos) sin))) * [enter]simplify: Simplifying (/ (sqrt (cos (* 2 x))) sin) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos (* 2 x))) sin) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (/ (sqrt (cos (* 2 x))) (* x cos)) (/ (sqrt (cos (* 2 x))) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 15 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* cos x)) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (/ 1 (* cos x)) (/ (cos (* 2 x)) sin)) (* (* x cos) sin))) * [enter]simplify: Simplifying (/ (cos (* 2 x)) sin) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) sin) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 16 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (/ (* (* x cos) sin) (cbrt (cos (* 2 x))))) (* (* x cos) sin))) * * * * [misc]progress: [ 21 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (* 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cos (* 2 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (/ (sqrt (cos (* 2 x))) (/ (* (* x cos) sin) (sqrt (cos (* 2 x))))) (* (* x cos) sin))) * * * * [misc]progress: [ 22 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (cos (* 2 x))) (log (* (* x cos) sin))) (log (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (424 enodes) * [exit]simplify: Simplified to (- (- (log (cos (* 2 x))) (log (* (* x sin) cos))) (log (* (* x sin) cos))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (exp (- (- (log (cos (* 2 x))) (log (* (* x sin) cos))) (log (* (* x sin) cos))))) * * * * [misc]progress: [ 49 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (cos (* 2 x)) (* (* x cos) sin))) (log (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (376 enodes) * [exit]simplify: Simplified to (- (log (cos (* 2 x))) (+ (log (* cos (* sin x))) (log (* cos (* sin x))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (exp (- (log (cos (* 2 x))) (+ (log (* cos (* sin x))) (log (* cos (* sin x))))))) * * * * [misc]progress: [ 50 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (cos (* 2 x)) (cos (* 2 x))) (cos (* 2 x))) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin))) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (* (/ (cos (* 2 x)) (* (* sin x) cos)) (/ (cos (* 2 x)) (* (* sin x) cos))) (/ (cos (* 2 x)) (pow (* (* sin x) cos) 4))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (cbrt (* (* (/ (cos (* 2 x)) (* (* sin x) cos)) (/ (cos (* 2 x)) (* (* sin x) cos))) (/ (cos (* 2 x)) (pow (* (* sin x) cos) 4))))) * * * * [misc]progress: [ 53 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (cos (* 2 x)) (* (* x cos) sin)) (/ (cos (* 2 x)) (* (* x cos) sin))) (/ (cos (* 2 x)) (* (* x cos) sin))) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (pow (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos)) 3) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (cbrt (pow (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* sin x) cos)) 3))) * * * * [misc]progress: [ 54 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [exit]simplify: Simplified to (* (/ (/ (cos x) sin) (* cos x)) (/ (/ (cos x) sin) (* cos x))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (- (* (/ (/ (cos x) sin) (* cos x)) (/ (/ (cos x) sin) (* cos x))) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) * * * * [misc]progress: [ 59 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* x cos)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (/ (cos (* 2 x)) (* (* sin x) cos))) cos) (/ x (cbrt (/ (cos (* 2 x)) (* (* sin x) cos))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (/ (cbrt (/ (cos (* 2 x)) (* (* sin x) cos))) cos) (/ x (cbrt (/ (cos (* 2 x)) (* (* sin x) cos))))) (/ (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) sin))) * [enter]simplify: Simplifying (/ (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) sin) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) sin) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* x cos)) (/ (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) sin))) * * * * [misc]progress: [ 60 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos (* 2 x)) (* (* x cos) sin))) (* x cos)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos (* 2 x)) (* cos (* sin x)))) (* x cos)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (sqrt (/ (cos (* 2 x)) (* cos (* sin x)))) (* x cos)) (/ (sqrt (/ (cos (* 2 x)) (* (* x cos) sin))) sin))) * [enter]simplify: Simplifying (/ (sqrt (/ (cos (* 2 x)) (* (* x cos) sin))) sin) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos (* 2 x)) (* (* x cos) sin))) sin) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ (sqrt (/ (cos (* 2 x)) (* (* x cos) sin))) (* x cos)) (/ (sqrt (/ (cos (* 2 x)) (* (* x cos) sin))) sin))) * * * * [misc]progress: [ 61 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* x cos)) (* x cos)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos (* 2 x))) (* cos x)) (/ (cbrt (cos (* 2 x))) (* cos x))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (* (/ (cbrt (cos (* 2 x))) (* cos x)) (/ (cbrt (cos (* 2 x))) (* cos x))) (/ (/ (cbrt (cos (* 2 x))) sin) sin))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos (* 2 x))) sin) sin) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) (* sin sin)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* x cos)) (* x cos)) (/ (cbrt (cos (* 2 x))) (* sin sin)))) * * * * [misc]progress: [ 62 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos (* 2 x))) (* x cos)) (* x cos)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos (* 2 x))) (* (* cos x) (* cos x))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (sqrt (cos (* 2 x))) (* (* cos x) (* cos x))) (/ (/ (sqrt (cos (* 2 x))) sin) sin))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos (* 2 x))) sin) sin) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos (* 2 x))) (* sin sin)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ (/ (sqrt (cos (* 2 x))) (* x cos)) (* x cos)) (/ (sqrt (cos (* 2 x))) (* sin sin)))) * * * * [misc]progress: [ 63 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* x cos)) (* x cos)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* cos x)) (* cos x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (/ 1 (* cos x)) (* cos x)) (/ (/ (cos (* 2 x)) sin) sin))) * [enter]simplify: Simplifying (/ (/ (cos (* 2 x)) sin) sin) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* sin sin)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ (/ 1 (* x cos)) (* x cos)) (/ (cos (* 2 x)) (* sin sin)))) * * * * [misc]progress: [ 64 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* cos x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ 1 (* cos x)) (/ (/ (cos (* 2 x)) (* (* x cos) sin)) sin))) * [enter]simplify: Simplifying (/ (/ (cos (* 2 x)) (* (* x cos) sin)) sin) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* x cos) (* sin sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ 1 (* x cos)) (/ (cos (* 2 x)) (* (* x cos) (* sin sin))))) * * * * [misc]progress: [ 65 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* x cos)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* x cos)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (cos (* 2 x)) (* x cos)) (/ (/ 1 (* (* x cos) sin)) sin))) * [enter]simplify: Simplifying (/ (/ 1 (* (* x cos) sin)) sin) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 sin) (* sin cos)) x) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ (cos (* 2 x)) (* x cos)) (/ (/ (/ 1 sin) (* sin cos)) x))) * * * * [misc]progress: [ 66 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (/ (* (* x cos) sin) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))))) * * * * [misc]progress: [ 71 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cos (* 2 x)) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos (* 2 x)) (* cos (* sin x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (sqrt (/ (cos (* 2 x)) (* cos (* sin x)))) (/ (* (* x cos) sin) (sqrt (/ (cos (* 2 x)) (* (* x cos) sin)))))) * * * * [misc]progress: [ 72 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* x cos)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos (* 2 x))) cos) (/ x (cbrt (cos (* 2 x))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ (/ (cbrt (cos (* 2 x))) cos) (/ x (cbrt (cos (* 2 x))))) (/ (* (* x cos) sin) (/ (cbrt (cos (* 2 x))) sin)))) * * * * [misc]progress: [ 73 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos (* 2 x))) (* x cos)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos (* 2 x))) (* cos x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ (sqrt (cos (* 2 x))) (* cos x)) (/ (* (* x cos) sin) (/ (sqrt (cos (* 2 x))) sin)))) * * * * [misc]progress: [ 74 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* cos x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ 1 (* cos x)) (/ (* (* x cos) sin) (/ (cos (* 2 x)) sin)))) * * * * [misc]progress: [ 75 / 89 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 2 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* 2 x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (/ (* (* x cos) sin) (/ 1 (* (* x cos) sin))))) * * * * [misc]progress: [ 77 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 2 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* 2 x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin)))) * * * * [misc]progress: [ 78 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x (* sin cos))) (* 2 (/ x (* sin cos)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (fma -2 (/ x (* sin cos)) (/ (/ 1 x) (* sin cos))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (fma -2 (/ x (* sin cos)) (/ (/ 1 x) (* sin cos))) (* (* x cos) sin))) * * * * [misc]progress: [ 79 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* cos (* x sin))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* cos sin) x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* cos sin) x)) (* (* x cos) sin))) * * * * [misc]progress: [ 80 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* cos (* x sin))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* cos sin) x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* cos sin) x)) (* (* x cos) sin))) * * * * [misc]progress: [ 81 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* x cos) sin)) 0)) * * * * [misc]progress: [ 82 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* cos sin) x))) * * * * [misc]progress: [ 83 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* cos sin) x))) * * * * [misc]progress: [ 84 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (/ (cos (* 2 x)) 0) (* (* x cos) sin))) * * * * [misc]progress: [ 85 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* cos sin) x)) (* (* x cos) sin))) * * * * [misc]progress: [ 86 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* cos sin) x)) (* (* x cos) sin))) * * * * [misc]progress: [ 87 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) (* 2/3 (/ (pow x 2) (* (pow sin 2) (pow cos 2))))) (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (+ (fma (/ 2/3 (* (* cos sin) (* cos sin))) (* x x) (/ -2 (* (* cos sin) (* cos sin)))) (/ (/ 1 (* x x)) (* (* cos sin) (* cos sin)))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (+ (fma (/ 2/3 (* (* cos sin) (* cos sin))) (* x x) (/ -2 (* (* cos sin) (* cos sin)))) (/ (/ 1 (* x x)) (* (* cos sin) (* cos sin))))) * * * * [misc]progress: [ 88 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos)))) * * * * [misc]progress: [ 89 / 89 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* (pow cos 2) (* (pow x 2) (pow sin 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (/ (cos (* 2 x)) (* (* (* x sin) cos) (* (* x sin) cos)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) in sin * [misc]taylor: Taking taylor expansion of (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) in sin * [misc]taylor: Taking taylor expansion of (/ (* (cos x) (cos x)) (* (* x cos) sin)) in sin * [misc]taylor: Taking taylor expansion of (* (cos x) (cos x)) in sin * [misc]taylor: Taking taylor expansion of (cos x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (cos x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (* (cos x) (cos x)) into (pow (cos x) 2) * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* (* x cos) 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 1) (* 0 0)) into (* x cos) * [misc]backup-simplify: Simplify (/ (pow (cos x) 2) (* x cos)) into (/ (pow (cos x) 2) (* x cos)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* (* x cos) 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 1) (* 0 0)) into (* x cos) * [misc]backup-simplify: Simplify (/ (/ (pow (cos x) 2) (* x cos)) (* x cos)) into (/ (pow (cos x) 2) (* (pow x 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) in sin * [misc]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) (* (* x cos) sin)) in sin * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in sin * [misc]taylor: Taking taylor expansion of (sin x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (sin x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (* (sin x) (sin x)) into (pow (sin x) 2) * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* (* x cos) 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 1) (* 0 0)) into (* x cos) * [misc]backup-simplify: Simplify (/ (pow (sin x) 2) (* x cos)) into (/ (pow (sin x) 2) (* x cos)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* (* x cos) 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 1) (* 0 0)) into (* x cos) * [misc]backup-simplify: Simplify (/ (/ (pow (sin x) 2) (* x cos)) (* x cos)) into (/ (pow (sin x) 2) (* (pow x 2) (pow cos 2))) * [misc]taylor: Taking taylor expansion of (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) in cos * [misc]taylor: Taking taylor expansion of (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) in cos * [misc]taylor: Taking taylor expansion of (/ (* (cos x) (cos x)) (* (* x cos) sin)) in cos * [misc]taylor: Taking taylor expansion of (* (cos x) (cos x)) in cos * [misc]taylor: Taking taylor expansion of (cos x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (cos x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (* (cos x) (cos x)) into (pow (cos x) 2) * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* x sin)) into (* x sin) * [misc]backup-simplify: Simplify (/ (pow (cos x) 2) (* x sin)) into (/ (pow (cos x) 2) (* x sin)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* x sin)) into (* x sin) * [misc]backup-simplify: Simplify (/ (/ (pow (cos x) 2) (* x sin)) (* x sin)) into (/ (pow (cos x) 2) (* (pow x 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) in cos * [misc]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) (* (* x cos) sin)) in cos * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in cos * [misc]taylor: Taking taylor expansion of (sin x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (sin x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (* (sin x) (sin x)) into (pow (sin x) 2) * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* x sin)) into (* x sin) * [misc]backup-simplify: Simplify (/ (pow (sin x) 2) (* x sin)) into (/ (pow (sin x) 2) (* x sin)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* x sin)) into (* x sin) * [misc]backup-simplify: Simplify (/ (/ (pow (sin x) 2) (* x sin)) (* x sin)) into (/ (pow (sin x) 2) (* (pow x 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (/ (* (cos x) (cos x)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (* (cos x) (cos x)) in x * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ (/ 1 (* cos sin)) (* cos sin)) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ (/ 1 (* cos sin)) (* cos sin)) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (/ (* (cos x) (cos x)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (* (cos x) (cos x)) in x * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ (/ 1 (* cos sin)) (* cos sin)) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ (/ 1 (* cos sin)) (* cos sin)) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]backup-simplify: Simplify (+ (/ 1 (* (pow cos 2) (pow sin 2))) 0) into (/ 1 (* (pow cos 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* cos sin))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 (- 1/2)) (+ (* 0 0) (* (- 1/2) 1))) into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (- (/ 1 (* cos sin))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 (* cos sin))) (* cos sin)) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (- (/ 1 (* (pow cos 2) (pow sin 2)))) * [misc]backup-simplify: Simplify (- (/ 1 (* (pow cos 2) (pow sin 2)))) into (- (/ 1 (* (pow cos 2) (pow sin 2)))) * [misc]backup-simplify: Simplify (+ (- (/ 1 (* (pow cos 2) (pow sin 2)))) (- (/ 1 (* (pow cos 2) (pow sin 2))))) into (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* (pow cos 2) (pow sin 2))))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (pow cos 2) (pow sin 2)))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow sin 2))) into (/ 2 (pow sin 2)) * [misc]backup-simplify: Simplify (- (/ 2 (pow sin 2))) into (- (* 2 (/ 1 (pow sin 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow sin 2)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow sin 2))) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- 1/2)) (+ (* (- 1/2) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* (- (/ 1 (* cos sin))) (/ 0 (* cos sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* (- (/ 1 (* (pow cos 2) (pow sin 2)))) (/ 0 (* cos sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* cos sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow sin 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow sin 2)) (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))) (* 0 (/ 0 (pow sin 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ (* 1 1/24) (+ (* 0 0) (+ (* (- 1/2) (- 1/2)) (+ (* 0 0) (* 1/24 1))))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/3 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* (- (/ 1 (* cos sin))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (* 1/3 (/ 1 (* cos sin))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/3 (/ 1 (* cos sin))) (* cos sin)) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* (- (/ 1 (* (pow cos 2) (pow sin 2)))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (* 1/3 (/ 1 (* (pow cos 2) (pow sin 2)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/3 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (- (* 1/3 (/ 1 (* cos sin)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/3 (/ 1 (* cos sin)))) (* cos sin)) (+ (* (/ 1 (* (pow cos 2) (pow sin 2))) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (- (* 1/3 (/ 1 (* (pow cos 2) (pow sin 2))))) * [misc]backup-simplify: Simplify (- (- (* 1/3 (/ 1 (* (pow cos 2) (pow sin 2)))))) into (* 1/3 (/ 1 (* (pow cos 2) (pow sin 2)))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1 (* (pow cos 2) (pow sin 2)))) (* 1/3 (/ 1 (* (pow cos 2) (pow sin 2))))) into (* 2/3 (/ 1 (* (pow cos 2) (pow sin 2)))) * [misc]taylor: Taking taylor expansion of (* 2/3 (/ 1 (* (pow cos 2) (pow sin 2)))) in cos * [misc]taylor: Taking taylor expansion of 2/3 in cos * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow cos 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* 1 (pow sin 2)) into (pow sin 2) * [misc]backup-simplify: Simplify (/ 1 (pow sin 2)) into (/ 1 (pow sin 2)) * [misc]backup-simplify: Simplify (* 2/3 (/ 1 (pow sin 2))) into (/ 2/3 (pow sin 2)) * [misc]taylor: Taking taylor expansion of (/ 2/3 (pow sin 2)) in sin * [misc]taylor: Taking taylor expansion of 2/3 in sin * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 2/3 1) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]backup-simplify: Simplify (+ (* 2/3 (pow (* (/ 1 sin) (* (/ 1 cos) x)) 2)) (+ (* -2 (pow (* (/ 1 sin) (* (/ 1 cos) 1)) 2)) (* 1 (pow (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) 2)))) into (- (+ (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) (* 2/3 (/ (pow x 2) (* (pow sin 2) (pow cos 2))))) (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) * [misc]approximate: Taking taylor expansion of (- (/ (/ (* (cos (/ 1 x)) (cos (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ (* (cos (/ 1 x)) (cos (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in sin * [misc]taylor: Taking taylor expansion of (/ (/ (* (cos (/ 1 x)) (cos (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (/ (* (cos (/ 1 x)) (cos (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (cos (/ 1 x))) in sin * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 1) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 0) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 1) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 0) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) 1) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ 1 x)) 2) (/ 1 (* x cos))) into (* x (* cos (pow (cos (/ 1 x)) 2))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) 1) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ (* x (* cos (pow (cos (/ 1 x)) 2))) (/ 1 (* x cos))) into (* (pow x 2) (* (pow cos 2) (pow (cos (/ 1 x)) 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in sin * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) 1) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (/ 1 (* x cos))) into (* x (* cos (pow (sin (/ 1 x)) 2))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) 1) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ (* x (* cos (pow (sin (/ 1 x)) 2))) (/ 1 (* x cos))) into (* (pow x 2) (* (pow cos 2) (pow (sin (/ 1 x)) 2))) * [misc]taylor: Taking taylor expansion of (- (/ (/ (* (cos (/ 1 x)) (cos (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in cos * [misc]taylor: Taking taylor expansion of (/ (/ (* (cos (/ 1 x)) (cos (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (/ (* (cos (/ 1 x)) (cos (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (cos (/ 1 x))) in cos * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 1) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 0) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 1) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 0) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 sin)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ 1 x)) 2) (/ 1 (* x sin))) into (* x (* sin (pow (cos (/ 1 x)) 2))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 sin)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (/ (* x (* sin (pow (cos (/ 1 x)) 2))) (/ 1 (* x sin))) into (* (pow x 2) (* (pow sin 2) (pow (cos (/ 1 x)) 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in cos * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 sin)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (/ 1 (* x sin))) into (* x (* sin (pow (sin (/ 1 x)) 2))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 sin)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (/ (* x (* sin (pow (sin (/ 1 x)) 2))) (/ 1 (* x sin))) into (* (pow x 2) (* (pow sin 2) (pow (sin (/ 1 x)) 2))) * [misc]taylor: Taking taylor expansion of (- (/ (/ (* (cos (/ 1 x)) (cos (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (* (cos (/ 1 x)) (cos (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (/ (* (cos (/ 1 x)) (cos (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ 1 x)) 2) (/ 1 (* cos sin))) into (* cos (* (pow (cos (/ 1 x)) 2) sin)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* cos (* (pow (cos (/ 1 x)) 2) sin)) (/ 1 (* cos sin))) into (* (pow cos 2) (* (pow (cos (/ 1 x)) 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (/ 1 (* cos sin))) into (* cos (* (pow (sin (/ 1 x)) 2) sin)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* cos (* (pow (sin (/ 1 x)) 2) sin)) (/ 1 (* cos sin))) into (* (pow cos 2) (* (pow (sin (/ 1 x)) 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (- (/ (/ (* (cos (/ 1 x)) (cos (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (* (cos (/ 1 x)) (cos (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (/ (* (cos (/ 1 x)) (cos (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ 1 x)) 2) (/ 1 (* cos sin))) into (* cos (* (pow (cos (/ 1 x)) 2) sin)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* cos (* (pow (cos (/ 1 x)) 2) sin)) (/ 1 (* cos sin))) into (* (pow cos 2) (* (pow (cos (/ 1 x)) 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (/ 1 (* cos sin))) into (* cos (* (pow (sin (/ 1 x)) 2) sin)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* cos (* (pow (sin (/ 1 x)) 2) sin)) (/ 1 (* cos sin))) into (* (pow cos 2) (* (pow (sin (/ 1 x)) 2) (pow sin 2))) * [misc]backup-simplify: Simplify (- (* (pow cos 2) (* (pow (sin (/ 1 x)) 2) (pow sin 2)))) into (- (* (pow cos 2) (* (pow (sin (/ 1 x)) 2) (pow sin 2)))) * [misc]backup-simplify: Simplify (+ (* (pow cos 2) (* (pow (cos (/ 1 x)) 2) (pow sin 2))) (- (* (pow cos 2) (* (pow (sin (/ 1 x)) 2) (pow sin 2))))) into (- (* (pow cos 2) (* (pow (cos (/ 1 x)) 2) (pow sin 2))) (* (pow cos 2) (* (pow (sin (/ 1 x)) 2) (pow sin 2)))) * [misc]taylor: Taking taylor expansion of (- (* (pow cos 2) (* (pow (cos (/ 1 x)) 2) (pow sin 2))) (* (pow cos 2) (* (pow (sin (/ 1 x)) 2) (pow sin 2)))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (* (pow (cos (/ 1 x)) 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (cos (/ 1 x)) 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in cos * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 1) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 0) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (* (pow (sin (/ 1 x)) 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in cos * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* (pow (cos (/ 1 x)) 2) (pow sin 2)) into (* (pow sin 2) (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (* 1 (* (pow sin 2) (pow (cos (/ 1 x)) 2))) into (* (pow sin 2) (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* (pow (sin (/ 1 x)) 2) (pow sin 2)) into (* (pow sin 2) (pow (sin (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (* 1 (* (pow sin 2) (pow (sin (/ 1 x)) 2))) into (* (pow sin 2) (pow (sin (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (- (* (pow sin 2) (pow (sin (/ 1 x)) 2))) into (- (* (pow sin 2) (pow (sin (/ 1 x)) 2))) * [misc]backup-simplify: Simplify (+ (* (pow sin 2) (pow (cos (/ 1 x)) 2)) (- (* (pow sin 2) (pow (sin (/ 1 x)) 2)))) into (- (* (pow sin 2) (pow (cos (/ 1 x)) 2)) (* (pow sin 2) (pow (sin (/ 1 x)) 2))) * [misc]taylor: Taking taylor expansion of (- (* (pow sin 2) (pow (cos (/ 1 x)) 2)) (* (pow sin 2) (pow (sin (/ 1 x)) 2))) in sin * [misc]taylor: Taking taylor expansion of (* (pow sin 2) (pow (cos (/ 1 x)) 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in sin * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 1) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 0) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (pow sin 2) (pow (sin (/ 1 x)) 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in sin * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* 1 (pow (cos (/ 1 x)) 2)) into (pow (cos (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* 1 (pow (sin (/ 1 x)) 2)) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (- (pow (sin (/ 1 x)) 2)) into (- (pow (sin (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (+ (pow (cos (/ 1 x)) 2) (- (pow (sin (/ 1 x)) 2))) into (- (pow (cos (/ 1 x)) 2) (pow (sin (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (- (pow (cos (/ 1 x)) 2) (pow (sin (/ 1 x)) 2)) into (- (pow (cos (/ 1 x)) 2) (pow (sin (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* cos (* (pow (cos (/ 1 x)) 2) sin)) (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* (pow cos 2) (* (pow (cos (/ 1 x)) 2) (pow sin 2))) (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* cos (* (pow (sin (/ 1 x)) 2) sin)) (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* (pow cos 2) (* (pow (sin (/ 1 x)) 2) (pow sin 2))) (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ 1 x)) 2) 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* (pow sin 2) (pow (cos (/ 1 x)) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* (pow sin 2) (pow (sin (/ 1 x)) 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1 x)) 2))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (sin (/ 1 x)) 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* cos (* (pow (cos (/ 1 x)) 2) sin)) (/ 0 (/ 1 (* cos sin)))) (* 0 (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* (pow cos 2) (* (pow (cos (/ 1 x)) 2) (pow sin 2))) (/ 0 (/ 1 (* cos sin)))) (* 0 (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* cos (* (pow (sin (/ 1 x)) 2) sin)) (/ 0 (/ 1 (* cos sin)))) (* 0 (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* (pow cos 2) (* (pow (sin (/ 1 x)) 2) (pow sin 2))) (/ 0 (/ 1 (* cos sin)))) (* 0 (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow sin 2) (pow (cos (/ 1 x)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow sin 2) (pow (sin (/ 1 x)) 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (pow (cos (/ 1 (/ 1 x))) 2) (pow (sin (/ 1 (/ 1 x))) 2)) (pow (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))) 2)) into (/ (- (pow (cos x) 2) (pow (sin x) 2)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) * [misc]approximate: Taking taylor expansion of (- (/ (/ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (- (/ (/ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in sin * [misc]taylor: Taking taylor expansion of (/ (/ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (/ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) in sin * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 1) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 0) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 1) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 0) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) -1) into (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ -1 x)) 2) (/ -1 (* x cos))) into (* -1 (* x (* cos (pow (cos (/ -1 x)) 2)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) -1) into (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (/ (* -1 (* x (* cos (pow (cos (/ -1 x)) 2)))) (/ -1 (* x cos))) into (* (pow x 2) (* (pow cos 2) (pow (cos (/ -1 x)) 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in sin * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) -1) into (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (/ -1 (* x cos))) into (* -1 (* x (* cos (pow (sin (/ -1 x)) 2)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) -1) into (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (/ (* -1 (* x (* cos (pow (sin (/ -1 x)) 2)))) (/ -1 (* x cos))) into (* (pow x 2) (* (pow cos 2) (pow (sin (/ -1 x)) 2))) * [misc]taylor: Taking taylor expansion of (- (/ (/ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in cos * [misc]taylor: Taking taylor expansion of (/ (/ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (/ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) in cos * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 1) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 0) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 1) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 0) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ -1 sin)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ -1 x)) 2) (/ -1 (* x sin))) into (* -1 (* x (* sin (pow (cos (/ -1 x)) 2)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ -1 sin)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (/ (* -1 (* x (* sin (pow (cos (/ -1 x)) 2)))) (/ -1 (* x sin))) into (* (pow x 2) (* (pow sin 2) (pow (cos (/ -1 x)) 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in cos * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ -1 sin)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (/ -1 (* x sin))) into (* -1 (* x (* sin (pow (sin (/ -1 x)) 2)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ -1 sin)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (/ (* -1 (* x (* sin (pow (sin (/ -1 x)) 2)))) (/ -1 (* x sin))) into (* (pow x 2) (* (pow sin 2) (pow (sin (/ -1 x)) 2))) * [misc]taylor: Taking taylor expansion of (- (/ (/ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (/ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ -1 x)) 2) (/ -1 (* cos sin))) into (* -1 (* sin (* cos (pow (cos (/ -1 x)) 2)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* -1 (* sin (* cos (pow (cos (/ -1 x)) 2)))) (/ -1 (* cos sin))) into (* (pow cos 2) (* (pow (cos (/ -1 x)) 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (/ -1 (* cos sin))) into (* -1 (* sin (* cos (pow (sin (/ -1 x)) 2)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* -1 (* sin (* cos (pow (sin (/ -1 x)) 2)))) (/ -1 (* cos sin))) into (* (pow cos 2) (* (pow (sin (/ -1 x)) 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (- (/ (/ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (/ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ -1 x)) 2) (/ -1 (* cos sin))) into (* -1 (* sin (* cos (pow (cos (/ -1 x)) 2)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* -1 (* sin (* cos (pow (cos (/ -1 x)) 2)))) (/ -1 (* cos sin))) into (* (pow cos 2) (* (pow (cos (/ -1 x)) 2) (pow sin 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (/ -1 (* cos sin))) into (* -1 (* sin (* cos (pow (sin (/ -1 x)) 2)))) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (* -1 (* sin (* cos (pow (sin (/ -1 x)) 2)))) (/ -1 (* cos sin))) into (* (pow cos 2) (* (pow (sin (/ -1 x)) 2) (pow sin 2))) * [misc]backup-simplify: Simplify (- (* (pow cos 2) (* (pow (sin (/ -1 x)) 2) (pow sin 2)))) into (- (* (pow cos 2) (* (pow (sin (/ -1 x)) 2) (pow sin 2)))) * [misc]backup-simplify: Simplify (+ (* (pow cos 2) (* (pow (cos (/ -1 x)) 2) (pow sin 2))) (- (* (pow cos 2) (* (pow (sin (/ -1 x)) 2) (pow sin 2))))) into (- (* (pow cos 2) (* (pow (cos (/ -1 x)) 2) (pow sin 2))) (* (pow cos 2) (* (pow (sin (/ -1 x)) 2) (pow sin 2)))) * [misc]taylor: Taking taylor expansion of (- (* (pow cos 2) (* (pow (cos (/ -1 x)) 2) (pow sin 2))) (* (pow cos 2) (* (pow (sin (/ -1 x)) 2) (pow sin 2)))) in cos * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (* (pow (cos (/ -1 x)) 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (cos (/ -1 x)) 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in cos * [misc]taylor: Taking taylor expansion of (cos (/ -1 x)) in cos * [misc]taylor: Taking taylor expansion of (/ -1 x) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [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 (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 1) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 0) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (pow cos 2) (* (pow (sin (/ -1 x)) 2) (pow sin 2))) in cos * [misc]taylor: Taking taylor expansion of (pow cos 2) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (sin (/ -1 x)) 2) (pow sin 2)) in cos * [misc]taylor: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in cos * [misc]taylor: Taking taylor expansion of (sin (/ -1 x)) in cos * [misc]taylor: Taking taylor expansion of (/ -1 x) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [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 (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (pow sin 2) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* (pow (cos (/ -1 x)) 2) (pow sin 2)) into (* (pow sin 2) (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (* 1 (* (pow sin 2) (pow (cos (/ -1 x)) 2))) into (* (pow sin 2) (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* sin sin) into (pow sin 2) * [misc]backup-simplify: Simplify (* (pow (sin (/ -1 x)) 2) (pow sin 2)) into (* (pow sin 2) (pow (sin (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (* 1 (* (pow sin 2) (pow (sin (/ -1 x)) 2))) into (* (pow sin 2) (pow (sin (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (- (* (pow sin 2) (pow (sin (/ -1 x)) 2))) into (- (* (pow sin 2) (pow (sin (/ -1 x)) 2))) * [misc]backup-simplify: Simplify (+ (* (pow sin 2) (pow (cos (/ -1 x)) 2)) (- (* (pow sin 2) (pow (sin (/ -1 x)) 2)))) into (- (* (pow sin 2) (pow (cos (/ -1 x)) 2)) (* (pow sin 2) (pow (sin (/ -1 x)) 2))) * [misc]taylor: Taking taylor expansion of (- (* (pow sin 2) (pow (cos (/ -1 x)) 2)) (* (pow sin 2) (pow (sin (/ -1 x)) 2))) in sin * [misc]taylor: Taking taylor expansion of (* (pow sin 2) (pow (cos (/ -1 x)) 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in sin * [misc]taylor: Taking taylor expansion of (cos (/ -1 x)) in sin * [misc]taylor: Taking taylor expansion of (/ -1 x) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [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 (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 1) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 0) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (pow sin 2) (pow (sin (/ -1 x)) 2)) in sin * [misc]taylor: Taking taylor expansion of (pow sin 2) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in sin * [misc]taylor: Taking taylor expansion of (sin (/ -1 x)) in sin * [misc]taylor: Taking taylor expansion of (/ -1 x) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [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 (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* 1 (pow (cos (/ -1 x)) 2)) into (pow (cos (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* 1 (pow (sin (/ -1 x)) 2)) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (- (pow (sin (/ -1 x)) 2)) into (- (pow (sin (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (+ (pow (cos (/ -1 x)) 2) (- (pow (sin (/ -1 x)) 2))) into (- (pow (cos (/ -1 x)) 2) (pow (sin (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (- (pow (cos (/ -1 x)) 2) (pow (sin (/ -1 x)) 2)) into (- (pow (cos (/ -1 x)) 2) (pow (sin (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* -1 (* sin (* cos (pow (cos (/ -1 x)) 2)))) (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* (pow cos 2) (* (pow (cos (/ -1 x)) 2) (pow sin 2))) (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* -1 (* sin (* cos (pow (sin (/ -1 x)) 2)))) (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* (pow cos 2) (* (pow (sin (/ -1 x)) 2) (pow sin 2))) (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1 x)) 2) 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* (pow sin 2) (pow (cos (/ -1 x)) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sin (/ -1 x)) 2) 0) (* 0 (pow sin 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* (pow sin 2) (pow (sin (/ -1 x)) 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (cos (/ -1 x)) 2))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* -1 (* sin (* cos (pow (cos (/ -1 x)) 2)))) (/ 0 (/ -1 (* cos sin)))) (* 0 (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* (pow cos 2) (* (pow (cos (/ -1 x)) 2) (pow sin 2))) (/ 0 (/ -1 (* cos sin)))) (* 0 (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* -1 (* sin (* cos (pow (sin (/ -1 x)) 2)))) (/ 0 (/ -1 (* cos sin)))) (* 0 (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* (pow cos 2) (* (pow (sin (/ -1 x)) 2) (pow sin 2))) (/ 0 (/ -1 (* cos sin)))) (* 0 (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1 x)) 2) 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow sin 2) (pow (cos (/ -1 x)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sin (/ -1 x)) 2) 0) (+ (* 0 0) (* 0 (pow sin 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (* (pow sin 2) (pow (sin (/ -1 x)) 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (pow (cos (/ -1 (/ 1 (- x)))) 2) (pow (sin (/ -1 (/ 1 (- x)))) 2)) (pow (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x)))) 2)) into (/ (- (pow (cos x) 2) (pow (sin x) 2)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ (* (sin x) (sin x)) (* (* x cos) sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) (* (* x cos) sin)) in sin * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in sin * [misc]taylor: Taking taylor expansion of (sin x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (sin x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (* (sin x) (sin x)) into (pow (sin x) 2) * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* (* x cos) 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 1) (* 0 0)) into (* x cos) * [misc]backup-simplify: Simplify (/ (pow (sin x) 2) (* x cos)) into (/ (pow (sin x) 2) (* x cos)) * [misc]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) (* (* x cos) sin)) in cos * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in cos * [misc]taylor: Taking taylor expansion of (sin x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (sin x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (* (sin x) 1) into (sin x) * [misc]backup-simplify: Simplify (* (cos x) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin x) 0) into (sin x) * [misc]backup-simplify: Simplify (* (sin x) (sin x)) into (pow (sin x) 2) * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* x sin)) into (* x sin) * [misc]backup-simplify: Simplify (/ (pow (sin x) 2) (* x sin)) into (/ (pow (sin x) 2) (* x sin)) * [misc]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/3 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (- (* 1/3 (/ 1 (* cos sin)))) * [misc]taylor: Taking taylor expansion of (- (* 1/3 (/ 1 (* cos sin)))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (* cos sin))) 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 (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1/3 (/ 1 sin)) into (/ 1/3 sin) * [misc]backup-simplify: Simplify (- (/ 1/3 sin)) into (- (* 1/3 (/ 1 sin))) * [misc]taylor: Taking taylor expansion of (- (* 1/3 (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 sin)) 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 (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* (- (* 1/3 (/ 1 (* cos sin)))) (/ 0 (* cos sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 (* (/ 1 sin) (* (/ 1 cos) (pow x 3)))) (* 1 (* (/ 1 sin) (* (/ 1 cos) x)))) into (- (/ x (* sin cos)) (* 1/3 (/ (pow x 3) (* sin cos)))) * [misc]approximate: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in sin * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) 1) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (/ 1 (* x cos))) into (* x (* cos (pow (sin (/ 1 x)) 2))) * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in cos * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 sin)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (/ 1 (* x sin))) into (* x (* sin (pow (sin (/ 1 x)) 2))) * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (/ 1 (* cos sin))) into (* cos (* (pow (sin (/ 1 x)) 2) sin)) * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (/ 1 (* cos sin))) into (* cos (* (pow (sin (/ 1 x)) 2) sin)) * [misc]taylor: Taking taylor expansion of (* cos (* (pow (sin (/ 1 x)) 2) sin)) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (sin (/ 1 x)) 2) sin) in cos * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in cos * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (* (pow (sin (/ 1 x)) 2) sin) into (* sin (pow (sin (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* sin (pow (sin (/ 1 x)) 2)))) into (* sin (pow (sin (/ 1 x)) 2)) * [misc]taylor: Taking taylor expansion of (* sin (pow (sin (/ 1 x)) 2)) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 x)) 2) in sin * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 1) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 x)) 0) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (sin (/ 1 x)) 2))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* cos (* (pow (sin (/ 1 x)) 2) sin)) (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* sin (pow (sin (/ 1 x)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (sin (/ 1 x)) 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* cos (* (pow (sin (/ 1 x)) 2) sin)) (/ 0 (/ 1 (* cos sin)))) (* 0 (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sin (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* sin (pow (sin (/ 1 x)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow (sin (/ 1 (/ 1 x))) 2) (* (/ 1 sin) (* (/ 1 cos) (/ 1 x)))) into (/ (pow (sin x) 2) (* x (* sin cos))) * [misc]approximate: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in sin * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) -1) into (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (/ -1 (* x cos))) into (* -1 (* x (* cos (pow (sin (/ -1 x)) 2)))) * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in cos * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ -1 sin)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (/ -1 (* x sin))) into (* -1 (* x (* sin (pow (sin (/ -1 x)) 2)))) * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (/ -1 (* cos sin))) into (* -1 (* sin (* cos (pow (sin (/ -1 x)) 2)))) * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (/ -1 (* cos sin))) into (* -1 (* sin (* cos (pow (sin (/ -1 x)) 2)))) * [misc]taylor: Taking taylor expansion of (* -1 (* sin (* cos (pow (sin (/ -1 x)) 2)))) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* sin (* cos (pow (sin (/ -1 x)) 2))) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* cos (pow (sin (/ -1 x)) 2)) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in cos * [misc]taylor: Taking taylor expansion of (sin (/ -1 x)) in cos * [misc]taylor: Taking taylor expansion of (/ -1 x) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [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 (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (sin (/ -1 x)) 2))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* 0 (pow (sin (/ -1 x)) 2)) into 0 * [misc]backup-simplify: Simplify (+ (* sin (pow (sin (/ -1 x)) 2)) (* 0 0)) into (* sin (pow (sin (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (* sin 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* sin (pow (sin (/ -1 x)) 2))) (* 0 0)) into (- (* sin (pow (sin (/ -1 x)) 2))) * [misc]taylor: Taking taylor expansion of (- (* sin (pow (sin (/ -1 x)) 2))) in sin * [misc]taylor: Taking taylor expansion of (* sin (pow (sin (/ -1 x)) 2)) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (sin (/ -1 x)) 2) in sin * [misc]taylor: Taking taylor expansion of (sin (/ -1 x)) in sin * [misc]taylor: Taking taylor expansion of (/ -1 x) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [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 (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 1) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 x)) 0) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (sin (/ -1 x)) 2))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (- (pow (sin (/ -1 x)) 2)) into (- (pow (sin (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (- (pow (sin (/ -1 x)) 2)) into (- (pow (sin (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* -1 (* sin (* cos (pow (sin (/ -1 x)) 2)))) (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 (pow (sin (/ -1 x)) 2)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (* sin (pow (sin (/ -1 x)) 2))) (* 0 0))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (sin (/ -1 x)) 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* -1 (* sin (* cos (pow (sin (/ -1 x)) 2)))) (/ 0 (/ -1 (* cos sin)))) (* 0 (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 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 (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 x)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 (pow (sin (/ -1 x)) 2)) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (* sin (pow (sin (/ -1 x)) 2))) (* 0 0)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (pow (sin (/ -1 (/ 1 (- x)))) 2)) (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x))))) into (/ (pow (sin x) 2) (* x (* sin cos))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (* (cos x) (cos x)) (* (* x cos) sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (cos x) (cos x)) (* (* x cos) sin)) in sin * [misc]taylor: Taking taylor expansion of (* (cos x) (cos x)) in sin * [misc]taylor: Taking taylor expansion of (cos x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (cos x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (* (cos x) (cos x)) into (pow (cos x) 2) * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* (* x cos) 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 1) (* 0 0)) into (* x cos) * [misc]backup-simplify: Simplify (/ (pow (cos x) 2) (* x cos)) into (/ (pow (cos x) 2) (* x cos)) * [misc]taylor: Taking taylor expansion of (/ (* (cos x) (cos x)) (* (* x cos) sin)) in cos * [misc]taylor: Taking taylor expansion of (* (cos x) (cos x)) in cos * [misc]taylor: Taking taylor expansion of (cos x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (cos x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (cos x) into (cos x) * [misc]backup-simplify: Simplify (sin x) into (sin x) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (* (cos x) 1) into (cos x) * [misc]backup-simplify: Simplify (* (sin x) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos x) 0) into (cos x) * [misc]backup-simplify: Simplify (* (cos x) (cos x)) into (pow (cos x) 2) * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* x sin)) into (* x sin) * [misc]backup-simplify: Simplify (/ (pow (cos x) 2) (* x sin)) into (/ (pow (cos x) 2) (* x sin)) * [misc]taylor: Taking taylor expansion of (/ (* (cos x) (cos x)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (* (cos x) (cos x)) in x * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ (* (cos x) (cos x)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (* (cos x) (cos x)) in x * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 (- 1/2)) (+ (* 0 0) (* (- 1/2) 1))) into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (- (/ 1 (* cos sin))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* cos sin))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (- (/ 1 sin)) into (- (/ 1 sin)) * [misc]taylor: Taking taylor expansion of (- (/ 1 sin)) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (- 1/2)) (+ (* (- 1/2) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* (- (/ 1 (* cos sin))) (/ 0 (* cos sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 sin) (* (/ 1 cos) x))) (* 1 (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))))) into (- (/ 1 (* x (* sin cos))) (/ x (* sin cos))) * [misc]approximate: Taking taylor expansion of (/ (* (cos (/ 1 x)) (cos (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (cos (/ 1 x)) (cos (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (cos (/ 1 x))) in sin * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 1) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 0) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 1) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 0) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) 1) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ 1 x)) 2) (/ 1 (* x cos))) into (* x (* cos (pow (cos (/ 1 x)) 2))) * [misc]taylor: Taking taylor expansion of (/ (* (cos (/ 1 x)) (cos (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (cos (/ 1 x))) in cos * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 1) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 0) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 1) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 0) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 sin)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ 1 x)) 2) (/ 1 (* x sin))) into (* x (* sin (pow (cos (/ 1 x)) 2))) * [misc]taylor: Taking taylor expansion of (/ (* (cos (/ 1 x)) (cos (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ 1 x)) 2) (/ 1 (* cos sin))) into (* cos (* (pow (cos (/ 1 x)) 2) sin)) * [misc]taylor: Taking taylor expansion of (/ (* (cos (/ 1 x)) (cos (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 x)) (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ 1 x)) 2) (/ 1 (* cos sin))) into (* cos (* (pow (cos (/ 1 x)) 2) sin)) * [misc]taylor: Taking taylor expansion of (* cos (* (pow (cos (/ 1 x)) 2) sin)) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (cos (/ 1 x)) 2) sin) in cos * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in cos * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 1) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 0) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ 1 x)) 2) 0) (* 0 sin)) into 0 * [misc]backup-simplify: Simplify (* (pow (cos (/ 1 x)) 2) sin) into (* sin (pow (cos (/ 1 x)) 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* sin (pow (cos (/ 1 x)) 2)))) into (* sin (pow (cos (/ 1 x)) 2)) * [misc]taylor: Taking taylor expansion of (* sin (pow (cos (/ 1 x)) 2)) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 x)) 2) in sin * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) 1) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 0) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 x)) (cos (/ 1 x))) into (pow (cos (/ 1 x)) 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (cos (/ 1 x)) 2))) into (pow (cos (/ 1 x)) 2) * [misc]backup-simplify: Simplify (pow (cos (/ 1 x)) 2) into (pow (cos (/ 1 x)) 2) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (* 0 (cos (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* cos (* (pow (cos (/ 1 x)) 2) sin)) (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ 1 x)) 2) 0) (+ (* 0 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* sin (pow (cos (/ 1 x)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (cos (/ 1 x)) 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (* 0 (cos (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* cos (* (pow (cos (/ 1 x)) 2) sin)) (/ 0 (/ 1 (* cos sin)))) (* 0 (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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 (/ 1 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 (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ 1 x)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* sin (pow (cos (/ 1 x)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow (cos (/ 1 (/ 1 x))) 2) (* (/ 1 sin) (* (/ 1 cos) (/ 1 x)))) into (/ (pow (cos x) 2) (* x (* sin cos))) * [misc]approximate: Taking taylor expansion of (/ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) in sin * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 1) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 0) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 1) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 0) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) -1) into (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ -1 x)) 2) (/ -1 (* x cos))) into (* -1 (* x (* cos (pow (cos (/ -1 x)) 2)))) * [misc]taylor: Taking taylor expansion of (/ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) in cos * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 1) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 0) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 1) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 0) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ -1 sin)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ -1 x)) 2) (/ -1 (* x sin))) into (* -1 (* x (* sin (pow (cos (/ -1 x)) 2)))) * [misc]taylor: Taking taylor expansion of (/ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ -1 x)) 2) (/ -1 (* cos sin))) into (* -1 (* sin (* cos (pow (cos (/ -1 x)) 2)))) * [misc]taylor: Taking taylor expansion of (/ (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- x))) (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ -1 x)) 2) (/ -1 (* cos sin))) into (* -1 (* sin (* cos (pow (cos (/ -1 x)) 2)))) * [misc]taylor: Taking taylor expansion of (* -1 (* sin (* cos (pow (cos (/ -1 x)) 2)))) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* sin (* cos (pow (cos (/ -1 x)) 2))) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* cos (pow (cos (/ -1 x)) 2)) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in cos * [misc]taylor: Taking taylor expansion of (cos (/ -1 x)) in cos * [misc]taylor: Taking taylor expansion of (/ -1 x) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [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 (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 1) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 0) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (cos (/ -1 x)) 2))) into (pow (cos (/ -1 x)) 2) * [misc]backup-simplify: Simplify (* 0 (pow (cos (/ -1 x)) 2)) into 0 * [misc]backup-simplify: Simplify (+ (* sin (pow (cos (/ -1 x)) 2)) (* 0 0)) into (* sin (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (* sin 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* sin (pow (cos (/ -1 x)) 2))) (* 0 0)) into (- (* sin (pow (cos (/ -1 x)) 2))) * [misc]taylor: Taking taylor expansion of (- (* sin (pow (cos (/ -1 x)) 2))) in sin * [misc]taylor: Taking taylor expansion of (* sin (pow (cos (/ -1 x)) 2)) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1 x)) 2) in sin * [misc]taylor: Taking taylor expansion of (cos (/ -1 x)) in sin * [misc]taylor: Taking taylor expansion of (/ -1 x) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [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 (cos (/ -1 x)) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (sin (/ -1 x)) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) 1) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 0) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 x)) (cos (/ -1 x))) into (pow (cos (/ -1 x)) 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (pow (cos (/ -1 x)) 2))) into (pow (cos (/ -1 x)) 2) * [misc]backup-simplify: Simplify (- (pow (cos (/ -1 x)) 2)) into (- (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (- (pow (cos (/ -1 x)) 2)) into (- (pow (cos (/ -1 x)) 2)) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (* 0 (cos (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* -1 (* sin (* cos (pow (cos (/ -1 x)) 2)))) (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 (pow (cos (/ -1 x)) 2)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (* sin (pow (cos (/ -1 x)) 2))) (* 0 0))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow (cos (/ -1 x)) 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (* 0 (cos (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* -1 (* sin (* cos (pow (cos (/ -1 x)) 2)))) (/ 0 (/ -1 (* cos sin)))) (* 0 (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -1 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 (/ -1 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 (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 x)) 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 (pow (cos (/ -1 x)) 2)) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (* sin (pow (cos (/ -1 x)) 2))) (* 0 0)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (pow (cos (/ -1 (/ 1 (- x)))) 2)) (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x))))) into (/ (pow (cos x) 2) (* x (* sin cos))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* (* x cos) sin) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 sin)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 x))))) into (* x (* sin cos)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ -1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ -1 sin) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (/ -1 sin) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- sin))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- x)))))) into (* x (* sin cos)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)))) (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (- (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (fma (cbrt (* (/ (/ (cos x) (* cos sin)) x) (/ (/ (cos x) (* cos sin)) x))) (* (cbrt (* (/ (/ (cos x) (* cos sin)) x) (/ (/ (cos x) (* cos sin)) x))) (cbrt (* (/ (/ (cos x) (* cos sin)) x) (/ (/ (cos x) (* cos sin)) x)))) (/ (- (* (sin x) (sin x))) (* (* (* cos sin) x) (* (* cos sin) x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (cbrt (* (/ (/ (cos x) (* cos sin)) x) (/ (/ (cos x) (* cos sin)) x))) (* (cbrt (* (/ (/ (cos x) (* cos sin)) x) (/ (/ (cos x) (* cos sin)) x))) (cbrt (* (/ (/ (cos x) (* cos sin)) x) (/ (/ (cos x) (* cos sin)) x)))) (/ (- (* (sin x) (sin x))) (* (* (* cos sin) x) (* (* cos sin) x)))) (fma (- (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (cbrt (* (/ (/ (cos x) (* cos sin)) x) (/ (/ (cos x) (* cos sin)) x))) (* (cbrt (* (/ (/ (cos x) (* cos sin)) x) (/ (/ (cos x) (* cos sin)) x))) (cbrt (* (/ (/ (cos x) (* cos sin)) x) (/ (/ (cos x) (* cos sin)) x)))) (/ (- (* (sin x) (sin x))) (* (* (* cos sin) x) (* (* cos sin) x)))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 2 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)))) (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (- (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (fma (* (cbrt (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin)))) (cbrt (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin))))) (cbrt (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin)))) (/ (* (sin x) (- (sin x))) (* (* x (* cos sin)) (* x (* cos sin))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (* (cbrt (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin)))) (cbrt (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin))))) (cbrt (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin)))) (/ (* (sin x) (- (sin x))) (* (* x (* cos sin)) (* x (* cos sin))))) (fma (- (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (* (cbrt (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin)))) (cbrt (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin))))) (cbrt (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin)))) (/ (* (sin x) (- (sin x))) (* (* x (* cos sin)) (* x (* cos sin))))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 3 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)))) (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (- (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (fma (* (/ (cbrt (/ (* (sin x) (sin x)) (* cos (* sin x)))) (* cos x)) (- (cbrt (/ (* (sin x) (sin x)) (* cos (* sin x)))))) (/ (cbrt (/ (* (sin x) (sin x)) (* cos (* sin x)))) sin) (pow (cbrt (* (/ (/ (cos x) sin) (* cos x)) (/ (/ (cos x) sin) (* cos x)))) 3)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (* (/ (cbrt (/ (* (sin x) (sin x)) (* cos (* sin x)))) (* cos x)) (- (cbrt (/ (* (sin x) (sin x)) (* cos (* sin x)))))) (/ (cbrt (/ (* (sin x) (sin x)) (* cos (* sin x)))) sin) (pow (cbrt (* (/ (/ (cos x) sin) (* cos x)) (/ (/ (cos x) sin) (* cos x)))) 3)) (fma (- (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)) (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)) (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (* (/ (cbrt (/ (* (sin x) (sin x)) (* cos (* sin x)))) (* cos x)) (- (cbrt (/ (* (sin x) (sin x)) (* cos (* sin x)))))) (/ (cbrt (/ (* (sin x) (sin x)) (* cos (* sin x)))) sin) (pow (cbrt (* (/ (/ (cos x) sin) (* cos x)) (/ (/ (cos x) sin) (* cos x)))) 3)) 0)) * * * * [misc]progress: [ 4 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)))) (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (- (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (fma (cbrt (* (/ (/ (cos x) cos) (* sin x)) (/ (/ (cos x) cos) (* sin x)))) (* (cbrt (* (/ (/ (cos x) cos) (* sin x)) (/ (/ (cos x) cos) (* sin x)))) (cbrt (* (/ (/ (cos x) cos) (* sin x)) (/ (/ (cos x) cos) (* sin x))))) (/ (/ (- (* (/ (sin x) (* sin x)) (/ (sin x) cos))) (* cos x)) sin)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (cbrt (* (/ (/ (cos x) cos) (* sin x)) (/ (/ (cos x) cos) (* sin x)))) (* (cbrt (* (/ (/ (cos x) cos) (* sin x)) (/ (/ (cos x) cos) (* sin x)))) (cbrt (* (/ (/ (cos x) cos) (* sin x)) (/ (/ (cos x) cos) (* sin x))))) (/ (/ (- (* (/ (sin x) (* sin x)) (/ (sin x) cos))) (* cos x)) sin)) (fma (- (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)) (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)) (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (cbrt (* (/ (/ (cos x) cos) (* sin x)) (/ (/ (cos x) cos) (* sin x)))) (* (cbrt (* (/ (/ (cos x) cos) (* sin x)) (/ (/ (cos x) cos) (* sin x)))) (cbrt (* (/ (/ (cos x) cos) (* sin x)) (/ (/ (cos x) cos) (* sin x))))) (/ (/ (- (* (/ (sin x) (* sin x)) (/ (sin x) cos))) (* cos x)) sin)) 0)) * * * * [misc]progress: [ 5 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)))) (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (- (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (fma (* (cbrt (* (/ (/ (cos x) (* sin x)) cos) (/ (/ (cos x) (* sin x)) cos))) (cbrt (* (/ (/ (cos x) (* sin x)) cos) (/ (/ (cos x) (* sin x)) cos)))) (cbrt (* (/ (/ (cos x) (* sin x)) cos) (/ (/ (cos x) (* sin x)) cos))) (/ (* (- (sin x)) (/ (sin x) (* sin sin))) (* (* cos x) (* cos x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (* (cbrt (* (/ (/ (cos x) (* sin x)) cos) (/ (/ (cos x) (* sin x)) cos))) (cbrt (* (/ (/ (cos x) (* sin x)) cos) (/ (/ (cos x) (* sin x)) cos)))) (cbrt (* (/ (/ (cos x) (* sin x)) cos) (/ (/ (cos x) (* sin x)) cos))) (/ (* (- (sin x)) (/ (sin x) (* sin sin))) (* (* cos x) (* cos x)))) (fma (- (/ (/ (sin x) sin) sin)) (/ (/ (sin x) (* x cos)) (* x cos)) (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ (sin x) sin) sin)) (/ (/ (sin x) (* x cos)) (* x cos)) (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (* (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)))) (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (- (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos))))) 0)) * * * * [misc]progress: [ 6 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)))) (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (- (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (fma (cbrt (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin)))) (* (cbrt (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin)))) (cbrt (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin))))) (* (* (/ -1 (* cos x)) (/ (sin x) sin)) (/ (/ (sin x) sin) (* cos x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (cbrt (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin)))) (* (cbrt (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin)))) (cbrt (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin))))) (* (* (/ -1 (* cos x)) (/ (sin x) sin)) (/ (/ (sin x) sin) (* cos x)))) (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin)) (/ 1 (* x cos)) (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin)) (/ 1 (* x cos)) (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (- (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (cbrt (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin)))) (* (cbrt (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin)))) (cbrt (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin))))) (* (* (/ -1 (* cos x)) (/ (sin x) sin)) (/ (/ (sin x) sin) (* cos x)))) (- (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x))))) * * * * [misc]progress: [ 7 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)))) (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (- (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (fma (cbrt (* (/ (/ (cos x) (* sin x)) cos) (/ (/ (cos x) (* sin x)) cos))) (* (cbrt (* (/ (/ (cos x) (* sin x)) cos) (/ (/ (cos x) (* sin x)) cos))) (cbrt (* (/ (/ (cos x) (* sin x)) cos) (/ (/ (cos x) (* sin x)) cos)))) (/ (/ -1 (* (* cos x) sin)) (* (/ sin (sin x)) (/ (* cos x) (sin x))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (cbrt (* (/ (/ (cos x) (* sin x)) cos) (/ (/ (cos x) (* sin x)) cos))) (* (cbrt (* (/ (/ (cos x) (* sin x)) cos) (/ (/ (cos x) (* sin x)) cos))) (cbrt (* (/ (/ (cos x) (* sin x)) cos) (/ (/ (cos x) (* sin x)) cos)))) (/ (/ -1 (* (* cos x) sin)) (* (/ sin (sin x)) (/ (* cos x) (sin x))))) (fma (- (/ (/ 1 (* (* x cos) sin)) sin)) (/ (* (sin x) (sin x)) (* x cos)) (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ 1 (* (* x cos) sin)) sin)) (/ (* (sin x) (sin x)) (* x cos)) (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * [exit]simplify: Simplified to (- (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin)))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin))))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (cbrt (* (/ (/ (cos x) (* sin x)) cos) (/ (/ (cos x) (* sin x)) cos))) (* (cbrt (* (/ (/ (cos x) (* sin x)) cos) (/ (/ (cos x) (* sin x)) cos))) (cbrt (* (/ (/ (cos x) (* sin x)) cos) (/ (/ (cos x) (* sin x)) cos)))) (/ (/ -1 (* (* cos x) sin)) (* (/ sin (sin x)) (/ (* cos x) (sin x))))) (- (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin)))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin))))))) * * * * [misc]progress: [ 8 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)))) (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (- (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (fma (* (cbrt (* (/ (/ (cos x) cos) (* sin x)) (/ (/ (cos x) cos) (* sin x)))) (cbrt (* (/ (/ (cos x) cos) (* sin x)) (/ (/ (cos x) cos) (* sin x))))) (cbrt (* (/ (/ (cos x) cos) (* sin x)) (/ (/ (cos x) cos) (* sin x)))) (/ (* (sin x) (- (sin x))) (* (* (* sin x) cos) (* (* sin x) cos)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (* (cbrt (* (/ (/ (cos x) cos) (* sin x)) (/ (/ (cos x) cos) (* sin x)))) (cbrt (* (/ (/ (cos x) cos) (* sin x)) (/ (/ (cos x) cos) (* sin x))))) (cbrt (* (/ (/ (cos x) cos) (* sin x)) (/ (/ (cos x) cos) (* sin x)))) (/ (* (sin x) (- (sin x))) (* (* (* sin x) cos) (* (* sin x) cos)))) (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) 1 (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1)))) * [enter]simplify: Simplifying (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) 1 (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (* (cbrt (* (/ (/ (cos x) cos) (* sin x)) (/ (/ (cos x) cos) (* sin x)))) (cbrt (* (/ (/ (cos x) cos) (* sin x)) (/ (/ (cos x) cos) (* sin x))))) (cbrt (* (/ (/ (cos x) cos) (* sin x)) (/ (/ (cos x) cos) (* sin x)))) (/ (* (sin x) (- (sin x))) (* (* (* sin x) cos) (* (* sin x) cos)))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 9 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)))) (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (- (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (fma (* (cbrt (* (/ (/ (cos x) (* cos x)) sin) (/ (/ (cos x) (* cos x)) sin))) (cbrt (* (/ (/ (cos x) (* cos x)) sin) (/ (/ (cos x) (* cos x)) sin)))) (cbrt (* (/ (/ (cos x) (* cos x)) sin) (/ (/ (cos x) (* cos x)) sin))) (/ (/ -1 (* cos (* sin x))) (/ (* cos (* sin x)) (* (sin x) (sin x))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (* (cbrt (* (/ (/ (cos x) (* cos x)) sin) (/ (/ (cos x) (* cos x)) sin))) (cbrt (* (/ (/ (cos x) (* cos x)) sin) (/ (/ (cos x) (* cos x)) sin)))) (cbrt (* (/ (/ (cos x) (* cos x)) sin) (/ (/ (cos x) (* cos x)) sin))) (/ (/ -1 (* cos (* sin x))) (/ (* cos (* sin x)) (* (sin x) (sin x))))) (fma (- (/ 1 (* (* x cos) sin))) (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin)))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* (* x cos) sin))) (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (- (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos)))) (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos))))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (* (cbrt (* (/ (/ (cos x) (* cos x)) sin) (/ (/ (cos x) (* cos x)) sin))) (cbrt (* (/ (/ (cos x) (* cos x)) sin) (/ (/ (cos x) (* cos x)) sin)))) (cbrt (* (/ (/ (cos x) (* cos x)) sin) (/ (/ (cos x) (* cos x)) sin))) (/ (/ -1 (* cos (* sin x))) (/ (* cos (* sin x)) (* (sin x) (sin x))))) (- (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos)))) (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos))))))) * * * * [misc]progress: [ 10 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (- (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (* (+ (/ (/ (cos x) sin) (* cos x)) (/ (sin x) (* cos (* sin x)))) (- (/ (/ (cos x) sin) (* cos x)) (/ (sin x) (* cos (* sin x))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (* (+ (/ (/ (cos x) sin) (* cos x)) (/ (sin x) (* cos (* sin x)))) (- (/ (/ (cos x) sin) (* cos x)) (/ (sin x) (* cos (* sin x))))) (fma (- (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (* (+ (/ (/ (cos x) sin) (* cos x)) (/ (sin x) (* cos (* sin x)))) (- (/ (/ (cos x) sin) (* cos x)) (/ (sin x) (* cos (* sin x))))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 11 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (- (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (* (+ (/ (/ (cos x) (* cos x)) sin) (/ (/ (sin x) (* sin x)) cos)) (- (/ (/ (cos x) (* cos x)) sin) (/ (/ (sin x) (* sin x)) cos))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (* (+ (/ (/ (cos x) (* cos x)) sin) (/ (/ (sin x) (* sin x)) cos)) (- (/ (/ (cos x) (* cos x)) sin) (/ (/ (sin x) (* sin x)) cos))) (fma (- (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (* (+ (/ (/ (cos x) (* cos x)) sin) (/ (/ (sin x) (* sin x)) cos)) (- (/ (/ (cos x) (* cos x)) sin) (/ (/ (sin x) (* sin x)) cos))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 12 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (- (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (fma (* (/ (cbrt (* (/ (sin x) sin) (/ (sin x) (* cos x)))) (* cos x)) (cbrt (* (/ (sin x) sin) (/ (sin x) (* cos x))))) (/ (- (cbrt (* (/ (sin x) sin) (/ (sin x) (* cos x))))) sin) (* (/ (/ (cos x) (* sin x)) cos) (/ (/ (cos x) (* sin x)) cos))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (* (/ (cbrt (* (/ (sin x) sin) (/ (sin x) (* cos x)))) (* cos x)) (cbrt (* (/ (sin x) sin) (/ (sin x) (* cos x))))) (/ (- (cbrt (* (/ (sin x) sin) (/ (sin x) (* cos x))))) sin) (* (/ (/ (cos x) (* sin x)) cos) (/ (/ (cos x) (* sin x)) cos))) (fma (- (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)) (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)) (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (* (/ (cbrt (* (/ (sin x) sin) (/ (sin x) (* cos x)))) (* cos x)) (cbrt (* (/ (sin x) sin) (/ (sin x) (* cos x))))) (/ (- (cbrt (* (/ (sin x) sin) (/ (sin x) (* cos x))))) sin) (* (/ (/ (cos x) (* sin x)) cos) (/ (/ (cos x) (* sin x)) cos))) 0)) * * * * [misc]progress: [ 13 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (- (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (cos x) (* cos sin)) x) (/ (/ (cos x) (* cos sin)) x)) (/ (/ (* (/ (sin x) (* sin x)) (/ (sin x) cos)) x) (* cos sin))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (* (/ (/ (cos x) (* cos sin)) x) (/ (/ (cos x) (* cos sin)) x)) (/ (/ (* (/ (sin x) (* sin x)) (/ (sin x) cos)) x) (* cos sin))) (fma (- (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)) (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)) (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (* (/ (/ (cos x) (* cos sin)) x) (/ (/ (cos x) (* cos sin)) x)) (/ (/ (* (/ (sin x) (* sin x)) (/ (sin x) cos)) x) (* cos sin))) 0)) * * * * [misc]progress: [ 14 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (- (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin))) (/ (/ (* (sin x) (sin x)) (* (* cos x) (* cos x))) (* sin sin))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin))) (/ (/ (* (sin x) (sin x)) (* (* cos x) (* cos x))) (* sin sin))) (fma (- (/ (/ (sin x) sin) sin)) (/ (/ (sin x) (* x cos)) (* x cos)) (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ (sin x) sin) sin)) (/ (/ (sin x) (* x cos)) (* x cos)) (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin))) (/ (/ (* (sin x) (sin x)) (* (* cos x) (* cos x))) (* sin sin))) 0)) * * * * [misc]progress: [ 15 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (- (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (cos x) sin) (* cos x)) (/ (/ (cos x) sin) (* cos x))) (/ (* (sin x) (sin x)) (* (* cos (* sin x)) (* cos (* sin 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)) (* (* cos (* sin x)) (* cos (* sin x))))) (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin)) (/ 1 (* x cos)) (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin)) (/ 1 (* x cos)) (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (- (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (* (/ (/ (cos x) sin) (* cos x)) (/ (/ (cos x) sin) (* cos x))) (/ (* (sin x) (sin x)) (* (* cos (* sin x)) (* cos (* sin x))))) (- (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x))))) * * * * [misc]progress: [ 16 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (- (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin))) (/ (* (sin x) (sin x)) (* (* x (* cos sin)) (* x (* cos sin))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin))) (/ (* (sin x) (sin x)) (* (* x (* cos sin)) (* x (* cos sin))))) (fma (- (/ (/ 1 (* (* x cos) sin)) sin)) (/ (* (sin x) (sin x)) (* x cos)) (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ 1 (* (* x cos) sin)) sin)) (/ (* (sin x) (sin x)) (* x cos)) (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * [exit]simplify: Simplified to (- (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin)))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin))))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (* (/ (/ (cos x) x) (* cos sin)) (/ (/ (cos x) x) (* cos sin))) (/ (* (sin x) (sin x)) (* (* x (* cos sin)) (* x (* cos sin))))) (- (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin)))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin))))))) * * * * [misc]progress: [ 17 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (- (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (+ (/ (/ (cos x) (* cos sin)) x) (/ (sin x) (* cos (* sin x)))) (- (/ (/ (cos x) (* cos sin)) x) (/ (sin x) (* cos (* sin x))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (* (+ (/ (/ (cos x) (* cos sin)) x) (/ (sin x) (* cos (* sin x)))) (- (/ (/ (cos x) (* cos sin)) x) (/ (sin x) (* cos (* sin x))))) (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) 1 (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1)))) * [enter]simplify: Simplifying (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) 1 (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (* (+ (/ (/ (cos x) (* cos sin)) x) (/ (sin x) (* cos (* sin x)))) (- (/ (/ (cos x) (* cos sin)) x) (/ (sin x) (* cos (* sin x))))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 18 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (- (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (cos x) (* cos x)) sin) (/ (/ (cos x) (* cos x)) sin)) (/ (* (sin x) (sin x)) (* (* (* cos sin) x) (* (* cos sin) x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (* (/ (/ (cos x) (* cos x)) sin) (/ (/ (cos x) (* cos x)) sin)) (/ (* (sin x) (sin x)) (* (* (* cos sin) x) (* (* cos sin) x)))) (fma (- (/ 1 (* (* x cos) sin))) (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin)))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* (* x cos) sin))) (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (- (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos)))) (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos))))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (* (/ (/ (cos x) (* cos x)) sin) (/ (/ (cos x) (* cos x)) sin)) (/ (* (sin x) (sin x)) (* (* (* cos sin) x) (* (* cos sin) x)))) (- (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos)))) (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos))))))) * * * * [misc]progress: [ 19 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin)))) (* x cos)) (/ (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (fma (/ (cbrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) (/ (* cos x) (cbrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))))) (/ (cbrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) sin) (/ (- (* (sin x) (sin x))) (* (* x (* cos sin)) (* x (* cos sin))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (/ (cbrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) (/ (* cos x) (cbrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))))) (/ (cbrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) sin) (/ (- (* (sin x) (sin x))) (* (* x (* cos sin)) (* x (* cos sin))))) (fma (- (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (/ (cbrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) (/ (* cos x) (cbrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))))) (/ (cbrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) sin) (/ (- (* (sin x) (sin x))) (* (* x (* cos sin)) (* x (* cos sin))))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 20 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin)))) (* x cos)) (/ (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (fma (* (/ (cbrt (* (/ (cos x) sin) (/ (cos x) (* cos x)))) (* cos x)) (cbrt (* (/ (cos x) sin) (/ (cos x) (* cos x))))) (/ (cbrt (* (/ (cos x) sin) (/ (cos x) (* cos x)))) sin) (/ (- (* (sin x) (sin x))) (* (* (* sin x) cos) (* (* sin x) cos)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (* (/ (cbrt (* (/ (cos x) sin) (/ (cos x) (* cos x)))) (* cos x)) (cbrt (* (/ (cos x) sin) (/ (cos x) (* cos x))))) (/ (cbrt (* (/ (cos x) sin) (/ (cos x) (* cos x)))) sin) (/ (- (* (sin x) (sin x))) (* (* (* sin x) cos) (* (* sin x) cos)))) (fma (- (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (* (/ (cbrt (* (/ (cos x) sin) (/ (cos x) (* cos x)))) (* cos x)) (cbrt (* (/ (cos x) sin) (/ (cos x) (* cos x))))) (/ (cbrt (* (/ (cos x) sin) (/ (cos x) (* cos x)))) sin) (/ (- (* (sin x) (sin x))) (* (* (* sin x) cos) (* (* sin x) cos)))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 21 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin)))) (* x cos)) (/ (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (fma (/ (cbrt (* (/ (sin x) x) (/ (sin x) (* cos sin)))) sin) (/ (- (cbrt (* (/ (sin x) x) (/ (sin x) (* cos sin))))) (/ (* cos x) (cbrt (* (/ (sin x) x) (/ (sin x) (* cos sin)))))) (/ (* (/ (cbrt (* (/ (cos x) sin) (/ (cos x) (* cos x)))) sin) (* (cbrt (* (/ (cos x) sin) (/ (cos x) (* cos x)))) (cbrt (* (/ (cos x) sin) (/ (cos x) (* cos x)))))) (* cos x))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (/ (cbrt (* (/ (sin x) x) (/ (sin x) (* cos sin)))) sin) (/ (- (cbrt (* (/ (sin x) x) (/ (sin x) (* cos sin))))) (/ (* cos x) (cbrt (* (/ (sin x) x) (/ (sin x) (* cos sin)))))) (/ (* (/ (cbrt (* (/ (cos x) sin) (/ (cos x) (* cos x)))) sin) (* (cbrt (* (/ (cos x) sin) (/ (cos x) (* cos x)))) (cbrt (* (/ (cos x) sin) (/ (cos x) (* cos x)))))) (* cos x))) (fma (- (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)) (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)) (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (/ (* (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin)))) (* x cos)) (/ (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos))))) 0)) * * * * [misc]progress: [ 22 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin)))) (* x cos)) (/ (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [exit]simplify: Simplified to (fma (/ (cbrt (* (/ (cos x) x) (/ (cos x) (* cos sin)))) x) (/ (* (cbrt (* (/ (cos x) x) (/ (cos x) (* cos sin)))) (cbrt (* (/ (cos x) x) (/ (cos x) (* cos sin))))) (* cos sin)) (/ (* (- (/ (sin x) (* sin x))) (/ (sin x) cos)) (* (* sin x) cos))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (/ (cbrt (* (/ (cos x) x) (/ (cos x) (* cos sin)))) x) (/ (* (cbrt (* (/ (cos x) x) (/ (cos x) (* cos sin)))) (cbrt (* (/ (cos x) x) (/ (cos x) (* cos sin))))) (* cos sin)) (/ (* (- (/ (sin x) (* sin x))) (/ (sin x) cos)) (* (* sin x) cos))) (fma (- (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)) (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)) (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (/ (cbrt (* (/ (cos x) x) (/ (cos x) (* cos sin)))) x) (/ (* (cbrt (* (/ (cos x) x) (/ (cos x) (* cos sin)))) (cbrt (* (/ (cos x) x) (/ (cos x) (* cos sin))))) (* cos sin)) (/ (* (- (/ (sin x) (* sin x))) (/ (sin x) cos)) (* (* sin x) cos))) 0)) * * * * [misc]progress: [ 23 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin)))) (* x cos)) (/ (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (fma (* (/ (cbrt (* (/ (cos x) (* cos x)) (/ (cos x) sin))) (* cos x)) (cbrt (* (/ (cos x) (* cos x)) (/ (cos x) sin)))) (/ (cbrt (* (/ (cos x) (* cos x)) (/ (cos x) sin))) sin) (* (- (/ (sin x) (* sin sin))) (/ (sin x) (* (* cos x) (* cos x))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (* (/ (cbrt (* (/ (cos x) (* cos x)) (/ (cos x) sin))) (* cos x)) (cbrt (* (/ (cos x) (* cos x)) (/ (cos x) sin)))) (/ (cbrt (* (/ (cos x) (* cos x)) (/ (cos x) sin))) sin) (* (- (/ (sin x) (* sin sin))) (/ (sin x) (* (* cos x) (* cos x))))) (fma (- (/ (/ (sin x) sin) sin)) (/ (/ (sin x) (* x cos)) (* x cos)) (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ (sin x) sin) sin)) (/ (/ (sin x) (* x cos)) (* x cos)) (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (/ (* (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin)))) (* x cos)) (/ (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos))))) 0)) * * * * [misc]progress: [ 24 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin)))) (* x cos)) (/ (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (fma (* (/ (cbrt (* (/ (cos x) (* sin x)) (/ (cos x) cos))) x) (/ (cbrt (* (/ (cos x) (* sin x)) (/ (cos x) cos))) cos)) (/ (cbrt (* (/ (cos x) (* sin x)) (/ (cos x) cos))) sin) (* (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (/ -1 (* cos x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (* (/ (cbrt (* (/ (cos x) (* sin x)) (/ (cos x) cos))) x) (/ (cbrt (* (/ (cos x) (* sin x)) (/ (cos x) cos))) cos)) (/ (cbrt (* (/ (cos x) (* sin x)) (/ (cos x) cos))) sin) (* (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (/ -1 (* cos x)))) (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin)) (/ 1 (* x cos)) (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin)) (/ 1 (* x cos)) (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (- (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (* (/ (cbrt (* (/ (cos x) (* sin x)) (/ (cos x) cos))) x) (/ (cbrt (* (/ (cos x) (* sin x)) (/ (cos x) cos))) cos)) (/ (cbrt (* (/ (cos x) (* sin x)) (/ (cos x) cos))) sin) (* (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (/ -1 (* cos x)))) (- (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x))))) * * * * [misc]progress: [ 25 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin)))) (* x cos)) (/ (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (fma (* (/ (cbrt (* (/ (cos x) cos) (/ (cos x) (* sin x)))) cos) (/ (cbrt (* (/ (cos x) cos) (/ (cos x) (* sin x)))) x)) (/ (cbrt (* (/ (cos x) cos) (/ (cos x) (* sin x)))) sin) (/ (* (/ (sin x) (* cos x)) (- (sin x))) (* (* cos x) (* sin sin)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (* (/ (cbrt (* (/ (cos x) cos) (/ (cos x) (* sin x)))) cos) (/ (cbrt (* (/ (cos x) cos) (/ (cos x) (* sin x)))) x)) (/ (cbrt (* (/ (cos x) cos) (/ (cos x) (* sin x)))) sin) (/ (* (/ (sin x) (* cos x)) (- (sin x))) (* (* cos x) (* sin sin)))) (fma (- (/ (/ 1 (* (* x cos) sin)) sin)) (/ (* (sin x) (sin x)) (* x cos)) (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ 1 (* (* x cos) sin)) sin)) (/ (* (sin x) (sin x)) (* x cos)) (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * [exit]simplify: Simplified to (- (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin)))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin))))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (* (/ (cbrt (* (/ (cos x) cos) (/ (cos x) (* sin x)))) cos) (/ (cbrt (* (/ (cos x) cos) (/ (cos x) (* sin x)))) x)) (/ (cbrt (* (/ (cos x) cos) (/ (cos x) (* sin x)))) sin) (/ (* (/ (sin x) (* cos x)) (- (sin x))) (* (* cos x) (* sin sin)))) (- (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin)))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin))))))) * * * * [misc]progress: [ 26 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin)))) (* x cos)) (/ (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (fma (/ (cbrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) x) (* (/ (cbrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) sin) (/ (cbrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) cos)) (/ (- (* (sin x) (sin x))) (* (* (* cos sin) x) (* (* cos sin) x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (/ (cbrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) x) (* (/ (cbrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) sin) (/ (cbrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) cos)) (/ (- (* (sin x) (sin x))) (* (* (* cos sin) x) (* (* cos sin) x)))) (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) 1 (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1)))) * [enter]simplify: Simplifying (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) 1 (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (/ (cbrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) x) (* (/ (cbrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) sin) (/ (cbrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) cos)) (/ (- (* (sin x) (sin x))) (* (* (* cos sin) x) (* (* cos sin) x)))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 27 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin)))) (* x cos)) (/ (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (fma (/ (cbrt (* (/ (cos x) (* cos x)) (/ (cos x) sin))) (/ (* cos x) (cbrt (* (/ (cos x) (* cos x)) (/ (cos x) sin))))) (/ (cbrt (* (/ (cos x) (* cos x)) (/ (cos x) sin))) sin) (/ (- (* (sin x) (sin x))) (* (* (* cos sin) x) (* (* cos sin) x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (/ (cbrt (* (/ (cos x) (* cos x)) (/ (cos x) sin))) (/ (* cos x) (cbrt (* (/ (cos x) (* cos x)) (/ (cos x) sin))))) (/ (cbrt (* (/ (cos x) (* cos x)) (/ (cos x) sin))) sin) (/ (- (* (sin x) (sin x))) (* (* (* cos sin) x) (* (* cos sin) x)))) (fma (- (/ 1 (* (* x cos) sin))) (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin)))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* (* x cos) sin))) (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (- (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos)))) (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos))))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (/ (cbrt (* (/ (cos x) (* cos x)) (/ (cos x) sin))) (/ (* cos x) (cbrt (* (/ (cos x) (* cos x)) (/ (cos x) sin))))) (/ (cbrt (* (/ (cos x) (* cos x)) (/ (cos x) sin))) sin) (/ (- (* (sin x) (sin x))) (* (* (* cos sin) x) (* (* cos sin) x)))) (- (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos)))) (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos))))))) * * * * [misc]progress: [ 28 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (* x cos)) (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * [exit]simplify: Simplified to (fma (/ (sqrt (/ (/ (cos x) (* cos x)) (/ sin (cos x)))) (* cos x)) (/ (sqrt (/ (/ (cos x) (* cos x)) (/ sin (cos x)))) sin) (/ (- (* (sin x) (sin x))) (* (* (* cos sin) x) (* (* cos sin) x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (/ (sqrt (/ (/ (cos x) (* cos x)) (/ sin (cos x)))) (* cos x)) (/ (sqrt (/ (/ (cos x) (* cos x)) (/ sin (cos x)))) sin) (/ (- (* (sin x) (sin x))) (* (* (* cos sin) x) (* (* cos sin) x)))) (fma (- (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (/ (sqrt (/ (/ (cos x) (* cos x)) (/ sin (cos x)))) (* cos x)) (/ (sqrt (/ (/ (cos x) (* cos x)) (/ sin (cos x)))) sin) (/ (- (* (sin x) (sin x))) (* (* (* cos sin) x) (* (* cos sin) x)))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 29 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (* x cos)) (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (fma (/ (sqrt (* (/ (cos x) x) (/ (cos x) (* cos sin)))) sin) (/ (sqrt (* (/ (cos x) x) (/ (cos x) (* cos sin)))) (* cos x)) (/ (* (- (sin x)) (sin x)) (* (* x (* cos sin)) (* x (* cos sin))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (/ (sqrt (* (/ (cos x) x) (/ (cos x) (* cos sin)))) sin) (/ (sqrt (* (/ (cos x) x) (/ (cos x) (* cos sin)))) (* cos x)) (/ (* (- (sin x)) (sin x)) (* (* x (* cos sin)) (* x (* cos sin))))) (fma (- (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (/ (sqrt (* (/ (cos x) x) (/ (cos x) (* cos sin)))) sin) (/ (sqrt (* (/ (cos x) x) (/ (cos x) (* cos sin)))) (* cos x)) (/ (* (- (sin x)) (sin x)) (* (* x (* cos sin)) (* x (* cos sin))))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 30 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (* x cos)) (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (fma (* (/ (cbrt (* (/ (sin x) cos) (/ (sin x) (* sin x)))) (* cos x)) (- (cbrt (* (/ (sin x) cos) (/ (sin x) (* sin x)))))) (/ (cbrt (* (/ (sin x) cos) (/ (sin x) (* sin x)))) sin) (/ (/ (sqrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) (* cos x)) (/ sin (sqrt (* (/ (cos x) (* cos sin)) (/ (cos x) x)))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (* (/ (cbrt (* (/ (sin x) cos) (/ (sin x) (* sin x)))) (* cos x)) (- (cbrt (* (/ (sin x) cos) (/ (sin x) (* sin x)))))) (/ (cbrt (* (/ (sin x) cos) (/ (sin x) (* sin x)))) sin) (/ (/ (sqrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) (* cos x)) (/ sin (sqrt (* (/ (cos x) (* cos sin)) (/ (cos x) x)))))) (fma (- (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)) (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)) (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (* x cos)) (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos))))) 0)) * * * * [misc]progress: [ 31 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (* x cos)) (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (- (/ (/ (* (/ (cos x) sin) (/ (cos x) (* cos x))) (* cos x)) sin) (/ (/ (/ (sin x) (* sin x)) (/ (* cos x) (sin x))) (* cos sin))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (/ (* (/ (cos x) sin) (/ (cos x) (* cos x))) (* cos x)) sin) (/ (/ (/ (sin x) (* sin x)) (/ (* cos x) (sin x))) (* cos sin))) (fma (- (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)) (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)) (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (/ (* (/ (cos x) sin) (/ (cos x) (* cos x))) (* cos x)) sin) (/ (/ (/ (sin x) (* sin x)) (/ (* cos x) (sin x))) (* cos sin))) 0)) * * * * [misc]progress: [ 32 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (* x cos)) (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (fma (/ (sqrt (* (/ (cos x) cos) (/ (cos x) (* sin x)))) sin) (/ (sqrt (* (/ (cos x) cos) (/ (cos x) (* sin x)))) (* cos x)) (/ (- (/ (sin x) (* sin sin))) (/ (* (* cos x) (* cos x)) (sin x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (/ (sqrt (* (/ (cos x) cos) (/ (cos x) (* sin x)))) sin) (/ (sqrt (* (/ (cos x) cos) (/ (cos x) (* sin x)))) (* cos x)) (/ (- (/ (sin x) (* sin sin))) (/ (* (* cos x) (* cos x)) (sin x)))) (fma (- (/ (/ (sin x) sin) sin)) (/ (/ (sin x) (* x cos)) (* x cos)) (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ (sin x) sin) sin)) (/ (/ (sin x) (* x cos)) (* x cos)) (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (* x cos)) (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos))))) 0)) * * * * [misc]progress: [ 33 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (* x cos)) (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (fma (/ (sqrt (* (/ (cos x) cos) (/ (cos x) (* sin x)))) (* cos x)) (/ (sqrt (* (/ (cos x) cos) (/ (cos x) (* sin x)))) sin) (* (* (/ (sin x) (* sin sin)) (/ (sin x) (* cos x))) (/ (/ -1 x) cos))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (/ (sqrt (* (/ (cos x) cos) (/ (cos x) (* sin x)))) (* cos x)) (/ (sqrt (* (/ (cos x) cos) (/ (cos x) (* sin x)))) sin) (* (* (/ (sin x) (* sin sin)) (/ (sin x) (* cos x))) (/ (/ -1 x) cos))) (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin)) (/ 1 (* x cos)) (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin)) (/ 1 (* x cos)) (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (- (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (/ (sqrt (* (/ (cos x) cos) (/ (cos x) (* sin x)))) (* cos x)) (/ (sqrt (* (/ (cos x) cos) (/ (cos x) (* sin x)))) sin) (* (* (/ (sin x) (* sin sin)) (/ (sin x) (* cos x))) (/ (/ -1 x) cos))) (- (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x))))) * * * * [misc]progress: [ 34 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (* x cos)) (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (fma (/ (sqrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) (* cos x)) (/ (sqrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) sin) (/ (/ (- (sin x)) (/ (* cos x) (sin x))) (* (* sin x) (* cos sin)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (/ (sqrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) (* cos x)) (/ (sqrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) sin) (/ (/ (- (sin x)) (/ (* cos x) (sin x))) (* (* sin x) (* cos sin)))) (fma (- (/ (/ 1 (* (* x cos) sin)) sin)) (/ (* (sin x) (sin x)) (* x cos)) (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ 1 (* (* x cos) sin)) sin)) (/ (* (sin x) (sin x)) (* x cos)) (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * [exit]simplify: Simplified to (- (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin)))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin))))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (/ (sqrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) (* cos x)) (/ (sqrt (* (/ (cos x) (* cos sin)) (/ (cos x) x))) sin) (/ (/ (- (sin x)) (/ (* cos x) (sin x))) (* (* sin x) (* cos sin)))) (- (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin)))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin))))))) * * * * [misc]progress: [ 35 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (* x cos)) (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (fma (/ (sqrt (/ (/ (cos x) (* cos x)) (/ sin (cos x)))) sin) (/ (sqrt (/ (/ (cos x) (* cos x)) (/ sin (cos x)))) (* cos x)) (/ (* (sin x) (- (sin x))) (* (* cos (* sin x)) (* cos (* sin x))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (/ (sqrt (/ (/ (cos x) (* cos x)) (/ sin (cos x)))) sin) (/ (sqrt (/ (/ (cos x) (* cos x)) (/ sin (cos x)))) (* cos x)) (/ (* (sin x) (- (sin x))) (* (* cos (* sin x)) (* cos (* sin x))))) (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) 1 (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1)))) * [enter]simplify: Simplifying (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) 1 (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (/ (sqrt (/ (/ (cos x) (* cos x)) (/ sin (cos x)))) sin) (/ (sqrt (/ (/ (cos x) (* cos x)) (/ sin (cos x)))) (* cos x)) (/ (* (sin x) (- (sin x))) (* (* cos (* sin x)) (* cos (* sin x))))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 36 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (* x cos)) (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (fma (/ (sqrt (* (/ (cos x) (* sin x)) (/ (cos x) cos))) sin) (/ (sqrt (* (/ (cos x) (* sin x)) (/ (cos x) cos))) (* cos x)) (* (/ (/ -1 (* cos x)) sin) (/ (/ (sin x) (* cos x)) (/ sin (sin x))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (/ (sqrt (* (/ (cos x) (* sin x)) (/ (cos x) cos))) sin) (/ (sqrt (* (/ (cos x) (* sin x)) (/ (cos x) cos))) (* cos x)) (* (/ (/ -1 (* cos x)) sin) (/ (/ (sin x) (* cos x)) (/ sin (sin x))))) (fma (- (/ 1 (* (* x cos) sin))) (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin)))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* (* x cos) sin))) (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (- (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos)))) (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos))))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (/ (sqrt (* (/ (cos x) (* sin x)) (/ (cos x) cos))) sin) (/ (sqrt (* (/ (cos x) (* sin x)) (/ (cos x) cos))) (* cos x)) (* (/ (/ -1 (* cos x)) sin) (/ (/ (sin x) (* cos x)) (/ sin (sin x))))) (- (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos)))) (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos))))))) * * * * [misc]progress: [ 37 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (/ (cos x) (* x cos)) (* x cos)) (/ (/ (cos x) sin) sin) (- (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * [exit]simplify: Simplified to (- (* (/ (cos x) (* sin sin)) (/ (cos x) (* (* x cos) (* x cos)))) (* (/ (/ (sin x) (* sin cos)) x) (/ (/ (sin x) (* sin cos)) x))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (* (/ (cos x) (* sin sin)) (/ (cos x) (* (* x cos) (* x cos)))) (* (/ (/ (sin x) (* sin cos)) x) (/ (/ (sin x) (* sin cos)) x))) (fma (- (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (* (/ (cos x) (* sin sin)) (/ (cos x) (* (* x cos) (* x cos)))) (* (/ (/ (sin x) (* sin cos)) x) (/ (/ (sin x) (* sin cos)) x))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 38 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (/ (cos x) (* x cos)) (* x cos)) (/ (/ (cos x) sin) sin) (- (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * [exit]simplify: Simplified to (- (/ (/ (* (cos x) (cos x)) (* (* x cos) (* x cos))) (* sin sin)) (* (/ (sin x) (* x (* sin cos))) (/ (sin x) (* x (* sin cos))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (/ (* (cos x) (cos x)) (* (* x cos) (* x cos))) (* sin sin)) (* (/ (sin x) (* x (* sin cos))) (/ (sin x) (* x (* sin cos))))) (fma (- (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (/ (* (cos x) (cos x)) (* (* x cos) (* x cos))) (* sin sin)) (* (/ (sin x) (* x (* sin cos))) (/ (sin x) (* x (* sin cos))))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 39 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (/ (cos x) (* x cos)) (* x cos)) (/ (/ (cos x) sin) sin) (- (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (fma (/ (cbrt (* (/ (sin x) sin) (/ (sin x) (* x cos)))) sin) (/ (- (cbrt (* (/ (sin x) sin) (/ (sin x) (* x cos))))) (/ (* x cos) (cbrt (* (/ (sin x) sin) (/ (sin x) (* x cos)))))) (/ (* (/ (cos x) (* sin sin)) (cos x)) (* (* x cos) (* x cos)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (/ (cbrt (* (/ (sin x) sin) (/ (sin x) (* x cos)))) sin) (/ (- (cbrt (* (/ (sin x) sin) (/ (sin x) (* x cos))))) (/ (* x cos) (cbrt (* (/ (sin x) sin) (/ (sin x) (* x cos)))))) (/ (* (/ (cos x) (* sin sin)) (cos x)) (* (* x cos) (* x cos)))) (fma (- (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)) (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)) (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (/ (/ (cos x) (* x cos)) (* x cos)) (/ (/ (cos x) sin) sin) (- (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos))))) 0)) * * * * [misc]progress: [ 40 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (/ (cos x) (* x cos)) (* x cos)) (/ (/ (cos x) sin) sin) (- (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (- (/ (* (/ (cos x) sin) (/ (cos x) sin)) (* (* x cos) (* x cos))) (/ (/ (/ (sin x) (* x sin)) (/ (* x cos) (sin x))) (* sin cos))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) sin) (/ (cos x) sin)) (* (* x cos) (* x cos))) (/ (/ (/ (sin x) (* x sin)) (/ (* x cos) (sin x))) (* sin cos))) (fma (- (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)) (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)) (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) sin) (/ (cos x) sin)) (* (* x cos) (* x cos))) (/ (/ (/ (sin x) (* x sin)) (/ (* x cos) (sin x))) (* sin cos))) 0)) * * * * [misc]progress: [ 41 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (/ (cos x) (* x cos)) (* x cos)) (/ (/ (cos x) sin) sin) (- (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * [exit]simplify: Simplified to (fma (- (/ (sin x) (* sin sin))) (/ (sin x) (* (* x cos) (* x cos))) (* (/ (cos x) (* sin sin)) (/ (cos x) (* (* x cos) (* x cos))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (- (/ (sin x) (* sin sin))) (/ (sin x) (* (* x cos) (* x cos))) (* (/ (cos x) (* sin sin)) (/ (cos x) (* (* x cos) (* x cos))))) (fma (- (/ (/ (sin x) sin) sin)) (/ (/ (sin x) (* x cos)) (* x cos)) (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ (sin x) sin) sin)) (/ (/ (sin x) (* x cos)) (* x cos)) (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (/ (/ (cos x) (* x cos)) (* x cos)) (/ (/ (cos x) sin) sin) (- (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos))))) 0)) * * * * [misc]progress: [ 42 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (/ (cos x) (* x cos)) (* x cos)) (/ (/ (cos x) sin) sin) (- (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (- (/ (/ (* (cos x) (cos x)) (* (* x cos) (* x cos))) (* sin sin)) (/ (* (sin x) (sin x)) (* (* x cos) (* (* x cos) (* sin sin))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (/ (* (cos x) (cos x)) (* (* x cos) (* x cos))) (* sin sin)) (/ (* (sin x) (sin x)) (* (* x cos) (* (* x cos) (* sin sin))))) (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin)) (/ 1 (* x cos)) (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin)) (/ 1 (* x cos)) (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (- (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (/ (* (cos x) (cos x)) (* (* x cos) (* x cos))) (* sin sin)) (/ (* (sin x) (sin x)) (* (* x cos) (* (* x cos) (* sin sin))))) (- (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x))))) * * * * [misc]progress: [ 43 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (/ (cos x) (* x cos)) (* x cos)) (/ (/ (cos x) sin) sin) (- (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (- (/ (cos x) (/ (* (* x cos) (* x cos)) (/ (cos x) (* sin sin)))) (/ (* (sin x) (sin x)) (* (* x cos) (* (* x sin) (* sin cos))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (cos x) (/ (* (* x cos) (* x cos)) (/ (cos x) (* sin sin)))) (/ (* (sin x) (sin x)) (* (* x cos) (* (* x sin) (* sin cos))))) (fma (- (/ (/ 1 (* (* x cos) sin)) sin)) (/ (* (sin x) (sin x)) (* x cos)) (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ 1 (* (* x cos) sin)) sin)) (/ (* (sin x) (sin x)) (* x cos)) (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * [exit]simplify: Simplified to (- (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin)))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin))))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (cos x) (/ (* (* x cos) (* x cos)) (/ (cos x) (* sin sin)))) (/ (* (sin x) (sin x)) (* (* x cos) (* (* x sin) (* sin cos))))) (- (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin)))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin))))))) * * * * [misc]progress: [ 44 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (/ (cos x) (* x cos)) (* x cos)) (/ (/ (cos x) sin) sin) (- (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (- (/ (* (/ (cos x) (* sin sin)) (cos x)) (* (* x cos) (* x cos))) (* (/ (sin x) (* cos (* x sin))) (/ (sin x) (* cos (* x sin))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) (* sin sin)) (cos x)) (* (* x cos) (* x cos))) (* (/ (sin x) (* cos (* x sin))) (/ (sin x) (* cos (* x sin))))) (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) 1 (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1)))) * [enter]simplify: Simplifying (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) 1 (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) (* sin sin)) (cos x)) (* (* x cos) (* x cos))) (* (/ (sin x) (* cos (* x sin))) (/ (sin x) (* cos (* x sin))))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 45 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (/ (cos x) (* x cos)) (* x cos)) (/ (/ (cos x) sin) sin) (- (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (- (* (/ (cos x) (* x cos)) (/ (/ (cos x) (* sin sin)) (* x cos))) (/ (* (sin x) (sin x)) (* (* cos (* x sin)) (* cos (* x sin))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (* (/ (cos x) (* x cos)) (/ (/ (cos x) (* sin sin)) (* x cos))) (/ (* (sin x) (sin x)) (* (* cos (* x sin)) (* cos (* x sin))))) (fma (- (/ 1 (* (* x cos) sin))) (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin)))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* (* x cos) sin))) (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (- (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos)))) (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos))))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (* (/ (cos x) (* x cos)) (/ (/ (cos x) (* sin sin)) (* x cos))) (/ (* (sin x) (sin x)) (* (* cos (* x sin)) (* cos (* x sin))))) (- (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos)))) (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos))))))) * * * * [misc]progress: [ 46 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (* x cos)) (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) sin) (- (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (- (/ (* (/ (cos x) (* sin sin)) (/ (cos x) (* cos x))) (* cos x)) (* (/ (/ (sin x) (* sin cos)) x) (/ (/ (sin x) (* sin cos)) x))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) (* sin sin)) (/ (cos x) (* cos x))) (* cos x)) (* (/ (/ (sin x) (* sin cos)) x) (/ (/ (sin x) (* sin cos)) x))) (fma (- (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) (* sin sin)) (/ (cos x) (* cos x))) (* cos x)) (* (/ (/ (sin x) (* sin cos)) x) (/ (/ (sin x) (* sin cos)) x))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 47 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (* x cos)) (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) sin) (- (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (- (/ (* (/ (cos x) (* sin sin)) (/ (cos x) (* cos x))) (* cos x)) (* (/ (/ (sin x) x) (* sin cos)) (/ (/ (sin x) x) (* sin cos)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) (* sin sin)) (/ (cos x) (* cos x))) (* cos x)) (* (/ (/ (sin x) x) (* sin cos)) (/ (/ (sin x) x) (* sin cos)))) (fma (- (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) (* sin sin)) (/ (cos x) (* cos x))) (* cos x)) (* (/ (/ (sin x) x) (* sin cos)) (/ (/ (sin x) x) (* sin cos)))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 48 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (* x cos)) (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) sin) (- (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (fma (/ (cbrt (* (/ (sin x) (* sin cos)) (/ (sin x) x))) sin) (/ (- (cbrt (* (/ (sin x) (* sin cos)) (/ (sin x) x)))) (/ (* cos x) (cbrt (* (/ (sin x) (* sin cos)) (/ (sin x) x))))) (/ (* (/ (cos x) (* sin sin)) (/ (cos x) (* cos x))) (* cos x))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (/ (cbrt (* (/ (sin x) (* sin cos)) (/ (sin x) x))) sin) (/ (- (cbrt (* (/ (sin x) (* sin cos)) (/ (sin x) x)))) (/ (* cos x) (cbrt (* (/ (sin x) (* sin cos)) (/ (sin x) x))))) (/ (* (/ (cos x) (* sin sin)) (/ (cos x) (* cos x))) (* cos x))) (fma (- (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)) (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)) (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (/ (cbrt (* (/ (sin x) (* sin cos)) (/ (sin x) x))) sin) (/ (- (cbrt (* (/ (sin x) (* sin cos)) (/ (sin x) x)))) (/ (* cos x) (cbrt (* (/ (sin x) (* sin cos)) (/ (sin x) x))))) (/ (* (/ (cos x) (* sin sin)) (/ (cos x) (* cos x))) (* cos x))) 0)) * * * * [misc]progress: [ 49 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (* x cos)) (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) sin) (- (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (- (/ (/ (* (cos x) (cos x)) (* (* x sin) (* sin cos))) (* cos x)) (/ (/ (/ (* (sin x) (sin x)) (* (* sin cos) x)) x) (* sin cos))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (/ (* (cos x) (cos x)) (* (* x sin) (* sin cos))) (* cos x)) (/ (/ (/ (* (sin x) (sin x)) (* (* sin cos) x)) x) (* sin cos))) (fma (- (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)) (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)) (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (/ (* (cos x) (cos x)) (* (* x sin) (* sin cos))) (* cos x)) (/ (/ (/ (* (sin x) (sin x)) (* (* sin cos) x)) x) (* sin cos))) 0)) * * * * [misc]progress: [ 50 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (* x cos)) (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) sin) (- (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (- (/ (* (/ (cos x) (* x sin)) (/ (cos x) (* sin cos))) (* cos x)) (* (/ (sin x) (* sin sin)) (/ (sin x) (* (* cos x) (* cos x))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) (* x sin)) (/ (cos x) (* sin cos))) (* cos x)) (* (/ (sin x) (* sin sin)) (/ (sin x) (* (* cos x) (* cos x))))) (fma (- (/ (/ (sin x) sin) sin)) (/ (/ (sin x) (* x cos)) (* x cos)) (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ (sin x) sin) sin)) (/ (/ (sin x) (* x cos)) (* x cos)) (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) (* x sin)) (/ (cos x) (* sin cos))) (* cos x)) (* (/ (sin x) (* sin sin)) (/ (sin x) (* (* cos x) (* cos x))))) 0)) * * * * [misc]progress: [ 51 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (* x cos)) (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) sin) (- (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (- (/ (/ (* (cos x) (cos x)) (* (* cos x) (* sin sin))) (* cos x)) (/ (* (/ (sin x) (* cos x)) (/ (sin x) sin)) (* (* cos x) sin))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (/ (* (cos x) (cos x)) (* (* cos x) (* sin sin))) (* cos x)) (/ (* (/ (sin x) (* cos x)) (/ (sin x) sin)) (* (* cos x) sin))) (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin)) (/ 1 (* x cos)) (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin)) (/ 1 (* x cos)) (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (- (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (/ (* (cos x) (cos x)) (* (* cos x) (* sin sin))) (* cos x)) (/ (* (/ (sin x) (* cos x)) (/ (sin x) sin)) (* (* cos x) sin))) (- (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x))))) * * * * [misc]progress: [ 52 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (* x cos)) (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) sin) (- (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (- (/ (* (/ (cos x) (* x sin)) (/ (cos x) (* sin cos))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* x sin) (* sin cos))) (* cos x))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) (* x sin)) (/ (cos x) (* sin cos))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* x sin) (* sin cos))) (* cos x))) (fma (- (/ (/ 1 (* (* x cos) sin)) sin)) (/ (* (sin x) (sin x)) (* x cos)) (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ 1 (* (* x cos) sin)) sin)) (/ (* (sin x) (sin x)) (* x cos)) (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * [exit]simplify: Simplified to (- (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin)))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin))))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) (* x sin)) (/ (cos x) (* sin cos))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* x sin) (* sin cos))) (* cos x))) (- (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin)))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin))))))) * * * * [misc]progress: [ 53 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (* x cos)) (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) sin) (- (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (- (/ (* (/ (cos x) (* x sin)) (/ (cos x) (* sin cos))) (* cos x)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) (* x sin)) (/ (cos x) (* sin cos))) (* cos x)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) 1 (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1)))) * [enter]simplify: Simplifying (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) 1 (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) (* x sin)) (/ (cos x) (* sin cos))) (* cos x)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 54 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (* x cos)) (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) sin) (- (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (- (/ (* (/ (cos x) (* sin sin)) (/ (cos x) (* cos x))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* x sin) cos)) (* (* x sin) cos))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) (* sin sin)) (/ (cos x) (* cos x))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* x sin) cos)) (* (* x sin) cos))) (fma (- (/ 1 (* (* x cos) sin))) (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin)))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* (* x cos) sin))) (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (- (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos)))) (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos))))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) (* sin sin)) (/ (cos x) (* cos x))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* x sin) cos)) (* (* x sin) cos))) (- (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos)))) (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos))))))) * * * * [misc]progress: [ 55 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cos x) (cos x)) (* x cos)) (/ (/ 1 (* (* x cos) sin)) sin) (- (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (- (/ (* (/ (cos x) cos) (/ (cos x) x)) (* (* sin sin) (* cos x))) (* (/ (/ (sin x) x) (* cos sin)) (/ (/ (sin x) x) (* cos sin)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) cos) (/ (cos x) x)) (* (* sin sin) (* cos x))) (* (/ (/ (sin x) x) (* cos sin)) (/ (/ (sin x) x) (* cos sin)))) (fma (- (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) cos) (/ (cos x) x)) (* (* sin sin) (* cos x))) (* (/ (/ (sin x) x) (* cos sin)) (/ (/ (sin x) x) (* cos sin)))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 56 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cos x) (cos x)) (* x cos)) (/ (/ 1 (* (* x cos) sin)) sin) (- (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (- (/ (/ (cos x) (/ (* cos x) (cos x))) (* (* sin sin) (* cos x))) (* (/ (/ (sin x) x) (* cos sin)) (/ (/ (sin x) x) (* cos sin)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (/ (cos x) (/ (* cos x) (cos x))) (* (* sin sin) (* cos x))) (* (/ (/ (sin x) x) (* cos sin)) (/ (/ (sin x) x) (* cos sin)))) (fma (- (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (/ (cos x) (/ (* cos x) (cos x))) (* (* sin sin) (* cos x))) (* (/ (/ (sin x) x) (* cos sin)) (/ (/ (sin x) x) (* cos sin)))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 57 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cos x) (cos x)) (* x cos)) (/ (/ 1 (* (* x cos) sin)) sin) (- (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (fma (* (/ (cbrt (/ (/ (sin x) (* cos x)) (/ sin (sin x)))) (* cos x)) (cbrt (/ (/ (sin x) (* cos x)) (/ sin (sin x))))) (- (/ (cbrt (/ (/ (sin x) (* cos x)) (/ sin (sin x)))) sin)) (/ (* (/ (cos x) cos) (/ (cos x) x)) (* (* sin sin) (* cos x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (* (/ (cbrt (/ (/ (sin x) (* cos x)) (/ sin (sin x)))) (* cos x)) (cbrt (/ (/ (sin x) (* cos x)) (/ sin (sin x))))) (- (/ (cbrt (/ (/ (sin x) (* cos x)) (/ sin (sin x)))) sin)) (/ (* (/ (cos x) cos) (/ (cos x) x)) (* (* sin sin) (* cos x)))) (fma (- (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)) (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)) (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (* (/ (cbrt (/ (/ (sin x) (* cos x)) (/ sin (sin x)))) (* cos x)) (cbrt (/ (/ (sin x) (* cos x)) (/ sin (sin x))))) (- (/ (cbrt (/ (/ (sin x) (* cos x)) (/ sin (sin x)))) sin)) (/ (* (/ (cos x) cos) (/ (cos x) x)) (* (* sin sin) (* cos x)))) 0)) * * * * [misc]progress: [ 58 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cos x) (cos x)) (* x cos)) (/ (/ 1 (* (* x cos) sin)) sin) (- (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * * [misc]simplify: iters left: 3 (464 enodes) * [exit]simplify: Simplified to (- (/ (/ (* (cos x) (cos x)) (* sin (* cos x))) (* sin (* cos x))) (/ (/ (* (sin x) (sin x)) (* (* cos x) (* sin sin))) (* cos x))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (/ (* (cos x) (cos x)) (* sin (* cos x))) (* sin (* cos x))) (/ (/ (* (sin x) (sin x)) (* (* cos x) (* sin sin))) (* cos x))) (fma (- (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)) (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)) (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (/ (* (cos x) (cos x)) (* sin (* cos x))) (* sin (* cos x))) (/ (/ (* (sin x) (sin x)) (* (* cos x) (* sin sin))) (* cos x))) 0)) * * * * [misc]progress: [ 59 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cos x) (cos x)) (* x cos)) (/ (/ 1 (* (* x cos) sin)) sin) (- (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (- (/ (/ (cos x) (/ (* cos x) (cos x))) (* (* cos x) (* sin sin))) (* (/ (/ (sin x) (* sin sin)) (* cos x)) (/ (sin x) (* cos x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (/ (cos x) (/ (* cos x) (cos x))) (* (* cos x) (* sin sin))) (* (/ (/ (sin x) (* sin sin)) (* cos x)) (/ (sin x) (* cos x)))) (fma (- (/ (/ (sin x) sin) sin)) (/ (/ (sin x) (* x cos)) (* x cos)) (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ (sin x) sin) sin)) (/ (/ (sin x) (* x cos)) (* x cos)) (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (/ (cos x) (/ (* cos x) (cos x))) (* (* cos x) (* sin sin))) (* (/ (/ (sin x) (* sin sin)) (* cos x)) (/ (sin x) (* cos x)))) 0)) * * * * [misc]progress: [ 60 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cos x) (cos x)) (* x cos)) (/ (/ 1 (* (* x cos) sin)) sin) (- (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (- (/ (/ (cos x) (/ (* cos x) (cos x))) (* (* sin sin) (* cos x))) (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (/ (cos x) (/ (* cos x) (cos x))) (* (* sin sin) (* cos x))) (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x))) (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin)) (/ 1 (* x cos)) (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin)) (/ 1 (* x cos)) (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (- (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (/ (cos x) (/ (* cos x) (cos x))) (* (* sin sin) (* cos x))) (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x))) (- (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x))))) * * * * [misc]progress: [ 61 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cos x) (cos x)) (* x cos)) (/ (/ 1 (* (* x cos) sin)) sin) (- (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (- (/ (* (/ (cos x) (* cos x)) (cos x)) (* (* sin x) (* cos sin))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* sin x) (* cos sin))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) (* cos x)) (cos x)) (* (* sin x) (* cos sin))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* sin x) (* cos sin))))) (fma (- (/ (/ 1 (* (* x cos) sin)) sin)) (/ (* (sin x) (sin x)) (* x cos)) (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ 1 (* (* x cos) sin)) sin)) (/ (* (sin x) (sin x)) (* x cos)) (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * [exit]simplify: Simplified to (- (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin)))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin))))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) (* cos x)) (cos x)) (* (* sin x) (* cos sin))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* sin x) (* cos sin))))) (- (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin)))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin))))))) * * * * [misc]progress: [ 62 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cos x) (cos x)) (* x cos)) (/ (/ 1 (* (* x cos) sin)) sin) (- (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (- (/ (/ (cos x) (/ (* cos x) (cos x))) (* (* sin x) (* cos sin))) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (/ (cos x) (/ (* cos x) (cos x))) (* (* sin x) (* cos sin))) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) 1 (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1)))) * [enter]simplify: Simplifying (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) 1 (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (/ (cos x) (/ (* cos x) (cos x))) (* (* sin x) (* cos sin))) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 63 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cos x) (cos x)) (* x cos)) (/ (/ 1 (* (* x cos) sin)) sin) (- (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ 1 x) cos) (* sin sin)) (- (* (/ (cos x) x) (/ (cos x) cos)) (* (/ (sin x) (* cos x)) (sin x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (* (/ (/ (/ 1 x) cos) (* sin sin)) (- (* (/ (cos x) x) (/ (cos x) cos)) (* (/ (sin x) (* cos x)) (sin x)))) (fma (- (/ 1 (* (* x cos) sin))) (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin)))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* (* x cos) sin))) (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (- (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos)))) (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos))))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (* (/ (/ (/ 1 x) cos) (* sin sin)) (- (* (/ (cos x) x) (/ (cos x) cos)) (* (/ (sin x) (* cos x)) (sin x)))) (- (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos)))) (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos))))))) * * * * [misc]progress: [ 64 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (- (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (* (+ (/ (/ (cos x) sin) (* x cos)) (/ (/ (sin x) (* sin x)) cos)) (- (/ (/ (cos x) sin) (* x cos)) (/ (/ (sin x) (* sin x)) cos))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (* (+ (/ (/ (cos x) sin) (* x cos)) (/ (/ (sin x) (* sin x)) cos)) (- (/ (/ (cos x) sin) (* x cos)) (/ (/ (sin x) (* sin x)) cos))) (fma (- (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (* (+ (/ (/ (cos x) sin) (* x cos)) (/ (/ (sin x) (* sin x)) cos)) (- (/ (/ (cos x) sin) (* x cos)) (/ (/ (sin x) (* sin x)) cos))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 65 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (- (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (cos x) x) (* sin cos)) (/ (/ (cos x) x) (* sin cos))) (* (/ (/ (sin x) sin) (* x cos)) (/ (/ (sin x) sin) (* x cos)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (* (/ (/ (cos x) x) (* sin cos)) (/ (/ (cos x) x) (* sin cos))) (* (/ (/ (sin x) sin) (* x cos)) (/ (/ (sin x) sin) (* x cos)))) (fma (- (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (* (/ (/ (cos x) x) (* sin cos)) (/ (/ (cos x) x) (* sin cos))) (* (/ (/ (sin x) sin) (* x cos)) (/ (/ (sin x) sin) (* x cos)))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 66 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (- (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (fma (/ (cbrt (/ (/ (sin x) (* x cos)) (/ sin (sin x)))) sin) (/ (- (cbrt (/ (/ (sin x) (* x cos)) (/ sin (sin x))))) (/ (* x cos) (cbrt (/ (/ (sin x) (* x cos)) (/ sin (sin x)))))) (* (/ (cos x) (* (* x cos) sin)) (/ (cos x) (* (* x cos) sin)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (/ (cbrt (/ (/ (sin x) (* x cos)) (/ sin (sin x)))) sin) (/ (- (cbrt (/ (/ (sin x) (* x cos)) (/ sin (sin x))))) (/ (* x cos) (cbrt (/ (/ (sin x) (* x cos)) (/ sin (sin x)))))) (* (/ (cos x) (* (* x cos) sin)) (/ (cos x) (* (* x cos) sin)))) (fma (- (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)) (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)) (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (/ (cbrt (/ (/ (sin x) (* x cos)) (/ sin (sin x)))) sin) (/ (- (cbrt (/ (/ (sin x) (* x cos)) (/ sin (sin x))))) (/ (* x cos) (cbrt (/ (/ (sin x) (* x cos)) (/ sin (sin x)))))) (* (/ (cos x) (* (* x cos) sin)) (/ (cos x) (* (* x cos) sin)))) 0)) * * * * [misc]progress: [ 67 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (- (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (cos x) (* sin cos)) x) (/ (/ (cos x) (* sin cos)) x)) (/ (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* x cos)) sin)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (* (/ (/ (cos x) (* sin cos)) x) (/ (/ (cos x) (* sin cos)) x)) (/ (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* x cos)) sin)) (fma (- (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)) (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)) (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (* (/ (/ (cos x) (* sin cos)) x) (/ (/ (cos x) (* sin cos)) x)) (/ (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* x cos)) sin)) 0)) * * * * [misc]progress: [ 68 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (- (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (cos x) (* sin x)) cos) (/ (/ (cos x) (* sin x)) cos)) (* (/ (sin x) (* sin sin)) (/ (sin x) (* (* x cos) (* x cos))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (* (/ (/ (cos x) (* sin x)) cos) (/ (/ (cos x) (* sin x)) cos)) (* (/ (sin x) (* sin sin)) (/ (sin x) (* (* x cos) (* x cos))))) (fma (- (/ (/ (sin x) sin) sin)) (/ (/ (sin x) (* x cos)) (* x cos)) (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ (sin x) sin) sin)) (/ (/ (sin x) (* x cos)) (* x cos)) (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (* (/ (/ (cos x) (* sin x)) cos) (/ (/ (cos x) (* sin x)) cos)) (* (/ (sin x) (* sin sin)) (/ (sin x) (* (* x cos) (* x cos))))) 0)) * * * * [misc]progress: [ 69 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (- (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (- (* (/ (cos x) (* x (* sin cos))) (/ (cos x) (* x (* sin cos)))) (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (* (/ (cos x) (* x (* sin cos))) (/ (cos x) (* x (* sin cos)))) (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos))))) (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin)) (/ 1 (* x cos)) (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin)) (/ 1 (* x cos)) (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (- (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (* (/ (cos x) (* x (* sin cos))) (/ (cos x) (* x (* sin cos)))) (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos))))) (- (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x))))) * * * * [misc]progress: [ 70 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (- (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (- (* (/ (cos x) (* cos (* sin x))) (/ (cos x) (* cos (* sin x)))) (/ (* (sin x) (sin x)) (* (* cos (* sin x)) (* cos (* sin x))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (* (/ (cos x) (* cos (* sin x))) (/ (cos x) (* cos (* sin x)))) (/ (* (sin x) (sin x)) (* (* cos (* sin x)) (* cos (* sin x))))) (fma (- (/ (/ 1 (* (* x cos) sin)) sin)) (/ (* (sin x) (sin x)) (* x cos)) (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ 1 (* (* x cos) sin)) sin)) (/ (* (sin x) (sin x)) (* x cos)) (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * [exit]simplify: Simplified to (- (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin)))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin))))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (* (/ (cos x) (* cos (* sin x))) (/ (cos x) (* cos (* sin x)))) (/ (* (sin x) (sin x)) (* (* cos (* sin x)) (* cos (* sin x))))) (- (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin)))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin))))))) * * * * [misc]progress: [ 71 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (- (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (235 enodes) * [exit]simplify: Simplified to (fma (/ (cos x) (* (* sin cos) x)) (/ (cos x) (* (* sin cos) x)) (/ (- (* (sin x) (sin x))) (* (* (* sin cos) x) (* (* sin cos) x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (/ (cos x) (* (* sin cos) x)) (/ (cos x) (* (* sin cos) x)) (/ (- (* (sin x) (sin x))) (* (* (* sin cos) x) (* (* sin cos) x)))) (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) 1 (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1)))) * [enter]simplify: Simplifying (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) 1 (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (/ (cos x) (* (* sin cos) x)) (/ (cos x) (* (* sin cos) x)) (/ (- (* (sin x) (sin x))) (* (* (* sin cos) x) (* (* sin cos) x)))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 72 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (- (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (cos x) (* sin cos)) x) (/ (/ (cos x) (* sin cos)) x)) (/ (* (sin x) (sin x)) (* (* (* sin 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 cos) x) (* (* sin cos) x)))) (fma (- (/ 1 (* (* x cos) sin))) (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin)))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* (* x cos) sin))) (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (- (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos)))) (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos))))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (* (/ (/ (cos x) (* sin cos)) x) (/ (/ (cos x) (* sin cos)) x)) (/ (* (sin x) (sin x)) (* (* (* sin cos) x) (* (* sin cos) x)))) (- (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos)))) (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos))))))) * * * * [misc]progress: [ 73 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cos x) (cos x)) (* (* x cos) sin)) (/ 1 (* (* x cos) sin)) (- (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (- (/ (* (/ (cos x) sin) (/ (cos x) (* cos x))) (* cos (* sin x))) (* (/ (sin x) (* cos (* sin x))) (/ (sin x) (* cos (* sin x))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) sin) (/ (cos x) (* cos x))) (* cos (* sin x))) (* (/ (sin x) (* cos (* sin x))) (/ (sin x) (* cos (* sin x))))) (fma (- (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) sin) (/ (cos x) (* cos x))) (* cos (* sin x))) (* (/ (sin x) (* cos (* sin x))) (/ (sin x) (* cos (* sin x))))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 74 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cos x) (cos x)) (* (* x cos) sin)) (/ 1 (* (* x cos) sin)) (- (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (- (/ (* (/ (cos x) (* cos x)) (/ (cos x) sin)) (* (* cos sin) x)) (* (/ (sin x) (* (* cos sin) x)) (/ (sin x) (* (* cos sin) x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) (* cos x)) (/ (cos x) sin)) (* (* cos sin) x)) (* (/ (sin x) (* (* cos sin) x)) (/ (sin x) (* (* cos sin) x)))) (fma (- (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (* (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) (* cos x)) (/ (cos x) sin)) (* (* cos sin) x)) (* (/ (sin x) (* (* cos sin) x)) (/ (sin x) (* (* cos sin) x)))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 75 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cos x) (cos x)) (* (* x cos) sin)) (/ 1 (* (* x cos) sin)) (- (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (fma (/ (cbrt (* (/ (sin x) (* cos sin)) (/ (sin x) x))) sin) (/ (- (cbrt (* (/ (sin x) (* cos sin)) (/ (sin x) x)))) (/ (* cos x) (cbrt (* (/ (sin x) (* cos sin)) (/ (sin x) x))))) (/ (* (/ (cos x) cos) (/ (cos x) (* sin x))) (* (* cos sin) x))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (/ (cbrt (* (/ (sin x) (* cos sin)) (/ (sin x) x))) sin) (/ (- (cbrt (* (/ (sin x) (* cos sin)) (/ (sin x) x)))) (/ (* cos x) (cbrt (* (/ (sin x) (* cos sin)) (/ (sin x) x))))) (/ (* (/ (cos x) cos) (/ (cos x) (* sin x))) (* (* cos sin) x))) (fma (- (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)) (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)) (* (/ (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (* (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (cbrt (/ (* (sin x) (sin x)) (* (* x cos) sin)))) (* x cos)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (/ (cbrt (* (/ (sin x) (* cos sin)) (/ (sin x) x))) sin) (/ (- (cbrt (* (/ (sin x) (* cos sin)) (/ (sin x) x)))) (/ (* cos x) (cbrt (* (/ (sin x) (* cos sin)) (/ (sin x) x))))) (/ (* (/ (cos x) cos) (/ (cos x) (* sin x))) (* (* cos sin) x))) 0)) * * * * [misc]progress: [ 76 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cos x) (cos x)) (* (* x cos) sin)) (/ 1 (* (* x cos) sin)) (- (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (- (/ (/ (/ (cos x) (* cos x)) (/ sin (cos x))) (* cos (* sin x))) (/ (/ (* (/ (sin x) sin) (/ (sin x) (* cos x))) (* cos x)) sin)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (/ (/ (cos x) (* cos x)) (/ sin (cos x))) (* cos (* sin x))) (/ (/ (* (/ (sin x) sin) (/ (sin x) (* cos x))) (* cos x)) sin)) (fma (- (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)) (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin)) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)) (* (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) sin) (/ (sqrt (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (/ (/ (cos x) (* cos x)) (/ sin (cos x))) (* cos (* sin x))) (/ (/ (* (/ (sin x) sin) (/ (sin x) (* cos x))) (* cos x)) sin)) 0)) * * * * [misc]progress: [ 77 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cos x) (cos x)) (* (* x cos) sin)) (/ 1 (* (* x cos) sin)) (- (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (- (/ (* (/ (cos x) cos) (/ (cos x) (* sin x))) (* cos (* sin x))) (* (/ (sin x) (* sin sin)) (/ (sin x) (* (* cos x) (* cos x))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) cos) (/ (cos x) (* sin x))) (* cos (* sin x))) (* (/ (sin x) (* sin sin)) (/ (sin x) (* (* cos x) (* cos x))))) (fma (- (/ (/ (sin x) sin) sin)) (/ (/ (sin x) (* x cos)) (* x cos)) (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ (sin x) sin) sin)) (/ (/ (sin x) (* x cos)) (* x cos)) (* (/ (/ (sin x) sin) sin) (/ (/ (sin x) (* x cos)) (* x cos)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) cos) (/ (cos x) (* sin x))) (* cos (* sin x))) (* (/ (sin x) (* sin sin)) (/ (sin x) (* (* cos x) (* cos x))))) 0)) * * * * [misc]progress: [ 78 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cos x) (cos x)) (* (* x cos) sin)) (/ 1 (* (* x cos) sin)) (- (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (fma (/ -1 (* cos x)) (* (/ (sin x) (* sin x)) (/ (sin x) (* cos sin))) (/ (* (/ (cos x) (* sin x)) (/ (cos x) cos)) (* (* cos sin) x))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (fma (/ -1 (* cos x)) (* (/ (sin x) (* sin x)) (/ (sin x) (* cos sin))) (/ (* (/ (cos x) (* sin x)) (/ (cos x) cos)) (* (* cos sin) x))) (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin)) (/ 1 (* x cos)) (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin)) (/ 1 (* x cos)) (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin) (/ 1 (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (- (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (fma (/ -1 (* cos x)) (* (/ (sin x) (* sin x)) (/ (sin x) (* cos sin))) (/ (* (/ (cos x) (* sin x)) (/ (cos x) cos)) (* (* cos sin) x))) (- (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x)) (/ (/ (* (sin x) (sin x)) (* (* sin sin) (* cos x))) (* cos x))))) * * * * [misc]progress: [ 79 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cos x) (cos x)) (* (* x cos) sin)) (/ 1 (* (* x cos) sin)) (- (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (- (* (/ (cos x) (* (* cos sin) x)) (/ (* (cos x) 1) (* (* cos sin) x))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (* (/ (cos x) (* (* cos sin) x)) (/ (* (cos x) 1) (* (* cos sin) x))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin))))) (fma (- (/ (/ 1 (* (* x cos) sin)) sin)) (/ (* (sin x) (sin x)) (* x cos)) (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos)))))) * [enter]simplify: Simplifying (fma (- (/ (/ 1 (* (* x cos) sin)) sin)) (/ (* (sin x) (sin x)) (* x cos)) (* (/ (/ 1 (* (* x cos) sin)) sin) (/ (* (sin x) (sin x)) (* x cos)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * [exit]simplify: Simplified to (- (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin)))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin))))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (* (/ (cos x) (* (* cos sin) x)) (/ (* (cos x) 1) (* (* cos sin) x))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin))))) (- (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin)))) (/ (* (sin x) (sin x)) (* (* cos x) (* (* cos x) (* sin sin))))))) * * * * [misc]progress: [ 80 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cos x) (cos x)) (* (* x cos) sin)) (/ 1 (* (* x cos) sin)) (- (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (- (/ (* (/ (cos x) (* cos x)) (/ (cos x) sin)) (* (* cos sin) x)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) (* cos x)) (/ (cos x) sin)) (* (* cos sin) x)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) 1 (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1)))) * [enter]simplify: Simplifying (fma (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) 1 (* (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) (* cos x)) (/ (cos x) sin)) (* (* cos sin) x)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))) (- (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin)) (* (/ (/ (sin x) (* cos x)) sin) (/ (/ (sin x) (* cos x)) sin))))) * * * * [misc]progress: [ 81 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ (* (cos x) (cos x)) (* (* x cos) sin)) (/ 1 (* (* x cos) sin)) (- (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (- (/ (* (/ (cos x) sin) (/ (cos x) (* cos x))) (* x (* cos sin))) (/ (* (sin x) (sin x)) (* (* x (* cos sin)) (* x (* cos sin))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) sin) (/ (cos x) (* cos x))) (* x (* cos sin))) (/ (* (sin x) (sin x)) (* (* x (* cos sin)) (* x (* cos sin))))) (fma (- (/ 1 (* (* x cos) sin))) (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin)))))) * [enter]simplify: Simplifying (fma (- (/ 1 (* (* x cos) sin))) (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (/ 1 (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (- (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos)))) (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos))))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (* (/ (cos x) sin) (/ (cos x) (* cos x))) (* x (* cos sin))) (/ (* (sin x) (sin x)) (* (* x (* cos sin)) (* x (* cos sin))))) (- (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos)))) (/ (* (sin x) (sin x)) (* (* x (* sin cos)) (* x (* sin cos))))))) * * * * [misc]progress: [ 82 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (448 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ (/ (cos x) sin) (* cos x)) (/ (/ (cos x) sin) (* cos x)))) (cbrt (* (/ (/ (cos x) sin) (* cos x)) (/ (/ (cos x) sin) (* cos x))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (fma (* (cbrt (* (/ (/ (cos x) sin) (* cos x)) (/ (/ (cos x) sin) (* cos x)))) (cbrt (* (/ (/ (cos x) sin) (* cos x)) (/ (/ (cos x) sin) (* cos x))))) (cbrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))) * * * * [misc]progress: [ 85 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [exit]simplify: Simplified to (fabs (/ (/ (cos x) (* sin x)) cos)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (fma (fabs (/ (/ (cos x) (* sin x)) cos)) (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))) * * * * [misc]progress: [ 86 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin)))) (* x cos)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (255 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (/ (cos x) (* sin x)) (/ cos (cos x)))) (* cos x)) (cbrt (/ (/ (cos x) (* sin x)) (/ cos (cos x))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (fma (* (/ (cbrt (/ (/ (cos x) (* sin x)) (/ cos (cos x)))) (* cos x)) (cbrt (/ (/ (cos x) (* sin x)) (/ cos (cos x))))) (/ (cbrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))) * * * * [misc]progress: [ 87 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) (* x cos)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (cos x) x) (/ (* cos sin) (cos x)))) (* cos x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (fma (/ (sqrt (/ (/ (cos x) x) (/ (* cos sin) (cos x)))) (* cos x)) (/ (sqrt (/ (* (cos x) (cos x)) (* (* x cos) sin))) sin) (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))) * * * * [misc]progress: [ 88 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos x) (* x cos)) (* x cos)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (cos x) (* (* x cos) (* x cos))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (fma (/ (cos x) (* (* x cos) (* x cos))) (/ (/ (cos x) sin) sin) (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))) * * * * [misc]progress: [ 89 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* cos x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (fma (/ 1 (* cos x)) (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) sin) (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))) * * * * [misc]progress: [ 90 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos x) (cos x)) (* x cos)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (/ (cos x) cos) (/ x (cos x))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (fma (/ (/ (cos x) cos) (/ x (cos x))) (/ (/ 1 (* (* x cos) sin)) sin) (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))) * * * * [misc]progress: [ 91 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos x) (cos x)) (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (/ (/ (cos x) sin) (/ (* cos x) (cos x))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (fma (/ (/ (cos x) sin) (/ (* cos x) (cos x))) (/ 1 (* (* x cos) sin)) (- (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))))) * * * * [misc]progress: [ 93 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (exp (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (exp (* (+ (/ (/ (cos x) cos) (* sin x)) (/ (sin x) (* cos (* sin x)))) (- (/ (/ (cos x) cos) (* sin x)) (/ (sin x) (* cos (* sin x)))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (log (exp (* (+ (/ (/ (cos x) cos) (* sin x)) (/ (sin x) (* cos (* sin x)))) (- (/ (/ (cos x) cos) (* sin x)) (/ (sin x) (* cos (* sin x)))))))) * * * * [misc]progress: [ 94 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 100 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (* (cos x) (cos x)) (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (290 enodes) * [exit]simplify: Simplified to (- (* (/ (cos x) cos) (/ (cos x) (* sin x))) (/ (* (sin x) (sin x)) (* (* sin x) cos))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (- (* (/ (cos x) cos) (/ (cos x) (* sin x))) (/ (* (sin x) (sin x)) (* (* sin x) cos))) (* (* x cos) sin))) * [enter]simplify: Simplifying (* (* x cos) sin) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* x cos) sin) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (- (/ (* (cos x) (cos x)) (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* (* x cos) sin))) * * * * [misc]progress: [ 101 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (* (* (* x cos) sin) (/ (* (sin x) (sin x)) (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (- (/ (* (cos x) (cos x)) 1) (* 1 (* (sin x) (sin x)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (- (/ (* (cos x) (cos x)) 1) (* 1 (* (sin x) (sin x)))) (* (* (* x cos) sin) (* (* x cos) sin)))) * [enter]simplify: Simplifying (* (* (* x cos) sin) (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (* (* (* sin x) cos) (* (* sin x) cos)) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (- (/ (* (cos x) (cos x)) 1) (* 1 (* (sin x) (sin x)))) (* (* (* sin x) cos) (* (* sin x) cos)))) * * * * [misc]progress: [ 102 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (+ (fabs (/ (sin x) (* x (* cos sin)))) (fabs (/ (/ (cos x) x) (* cos sin)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (+ (fabs (/ (sin x) (* x (* cos sin)))) (fabs (/ (/ (cos x) x) (* cos sin)))) (- (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))))) * [enter]simplify: Simplifying (- (sqrt (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin))) (sqrt (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (- (fabs (/ (/ (cos x) (* sin x)) cos)) (fabs (/ (sin x) (* x (* cos sin))))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (+ (fabs (/ (sin x) (* x (* cos sin)))) (fabs (/ (/ (cos x) x) (* cos sin)))) (- (fabs (/ (/ (cos x) (* sin x)) cos)) (fabs (/ (sin x) (* x (* cos sin))))))) * * * * [misc]progress: [ 107 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* cos x)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ 1 (* cos x)) (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) sin) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin)))) * [enter]simplify: Simplifying (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) sin) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) sin)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (370 enodes) * [exit]simplify: Simplified to (- (* (/ (cos x) (* cos sin)) (/ (cos x) (* sin x))) (* (/ (sin x) (* sin x)) (/ (sin x) (* cos sin)))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ 1 (* x cos)) (- (* (/ (cos x) (* cos sin)) (/ (cos x) (* sin x))) (* (/ (sin x) (* sin x)) (/ (sin x) (* cos sin)))))) * * * * [misc]progress: [ 108 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (- (* (/ (/ (cos x) (* cos sin)) x) (/ (/ (cos x) (* cos sin)) x)) (* (/ (/ (sin x) cos) (* sin x)) (/ (/ (sin x) cos) (* sin x)))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* 1 (- (* (/ (/ (cos x) (* cos sin)) x) (/ (/ (cos x) (* cos sin)) x)) (* (/ (/ (sin x) cos) (* sin x)) (/ (/ (sin x) cos) (* sin x)))))) * * * * [misc]progress: [ 109 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (* x cos) sin)) sin) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 sin) (* sin cos)) x) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (/ (/ 1 sin) (* sin cos)) x) (- (/ (* (cos x) (cos x)) (* x cos)) (/ (* (sin x) (sin x)) (* x cos))))) * [enter]simplify: Simplifying (- (/ (* (cos x) (cos x)) (* x cos)) (/ (* (sin x) (sin x)) (* x cos))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (fma (/ (cos x) (* cos x)) (cos x) (* (/ (sin x) (* cos x)) (- (sin x)))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ (/ 1 (* (* x cos) sin)) sin) (fma (/ (cos x) (* cos x)) (cos x) (* (/ (sin x) (* cos x)) (- (sin x)))))) * * * * [misc]progress: [ 110 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* cos x)) sin) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (/ 1 (* cos x)) sin) (- (/ (* (cos x) (cos x)) (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin))))) * [enter]simplify: Simplifying (- (/ (* (cos x) (cos x)) (* (* x cos) sin)) (/ (* (sin x) (sin x)) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (290 enodes) * [exit]simplify: Simplified to (- (* (/ (cos x) cos) (/ (cos x) (* sin x))) (/ (* (sin x) (sin x)) (* (* sin x) cos))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (* (/ 1 (* (* x cos) sin)) (- (* (/ (cos x) cos) (/ (cos x) (* sin x))) (/ (* (sin x) (sin x)) (* (* sin x) cos))))) * * * * [misc]progress: [ 111 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* 1/2 (cos (* 2 x))) (* (* x cos) sin)) (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * [exit]simplify: Simplified to (/ (* (cos (* x 2)) 1/2) (* (* (* x sin) cos) (* (* x sin) cos))) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (+ (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (/ (/ 1/2 (* (* x cos) sin)) (* (* x cos) sin))) (/ (* (cos (* x 2)) 1/2) (* (* (* x sin) cos) (* (* x sin) cos))))) * * * * [misc]progress: [ 112 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 114 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 115 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 116 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (sin x)) (log (sin x))) (log (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (404 enodes) * [exit]simplify: Simplified to (- (+ (log (sin x)) (log (sin x))) (log (* (* sin cos) x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x cos sin) (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (/ (exp (- (+ (log (sin x)) (log (sin x))) (log (* (* sin cos) x)))) (* (* x cos) sin)))) * * * * [misc]progress: [ 117 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (sin x) (sin x))) (log (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (- (log (* (sin x) (sin x))) (log (* (* sin cos) x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x cos sin) (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (/ (exp (- (log (* (sin x) (sin x))) (log (* (* sin cos) x)))) (* (* x cos) sin)))) * * * * [misc]progress: [ 118 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 119 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 120 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (/ (pow (* (sin x) (sin x)) 3) (pow (* x (* sin cos)) 3)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x cos sin) (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (/ (cbrt (/ (pow (* (sin x) (sin x)) 3) (pow (* x (* sin cos)) 3))) (* (* x cos) sin)))) * * * * [misc]progress: [ 121 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (pow (* (/ (sin x) x) (/ (sin x) (* sin cos))) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (x cos sin) (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (/ (cbrt (pow (* (/ (sin x) x) (/ (sin x) (* sin cos))) 3)) (* (* x cos) sin)))) * * * * [misc]progress: [ 122 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 123 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 124 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 125 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 126 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 (* (* x cos) sin)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (/ 1/2 (* cos x)) sin) * [misc]simplify: Simplified (2 2 1 1) to (λ (x cos sin) (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (/ (- (/ (/ 1/2 (* cos x)) sin) (/ (* 1/2 (cos (* 2 x))) (* (* x cos) sin))) (* (* x cos) sin)))) * * * * [misc]progress: [ 127 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (* x cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (sin x) (* x cos)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x cos sin) (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (/ (* (/ (sin x) (* x cos)) (/ (sin x) sin)) (* (* x cos) sin)))) * [enter]simplify: Simplifying (/ (sin x) sin) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (sin x) sin) * [misc]simplify: Simplified (2 2 1 2) to (λ (x cos sin) (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (/ (* (/ (sin x) (* x cos)) (/ (sin x) sin)) (* (* x cos) sin)))) * * * * [misc]progress: [ 128 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 129 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 130 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 131 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 132 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin x) * [misc]simplify: Simplified (2 2 1 1) to (λ (x cos sin) (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (/ (/ (sin x) (/ (* (* x cos) sin) (sin x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 133 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- x x)) (cos (+ x x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (- 1 (cos (+ x x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x cos sin) (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (/ (/ (- 1 (cos (+ x x))) (* (* (* x cos) sin) 2)) (* (* x cos) sin)))) * * * * [misc]progress: [ 134 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 135 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 136 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 137 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (cos x)) (log (cos x))) (log (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (178 enodes) * * [misc]simplify: iters left: 1 (404 enodes) * [exit]simplify: Simplified to (- (+ (log (cos x)) (log (cos x))) (log (* (* sin cos) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (- (/ (exp (- (+ (log (cos x)) (log (cos x))) (log (* (* sin cos) x)))) (* (* x cos) sin)) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) * * * * [misc]progress: [ 138 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (cos x) (cos x))) (log (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (- (log (* (cos x) (cos x))) (log (* (* sin cos) x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (- (/ (exp (- (log (* (cos x) (cos x))) (log (* (* sin cos) x)))) (* (* x cos) sin)) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) * * * * [misc]progress: [ 139 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 140 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 141 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (cos x) (cos x)) (cos x)) (* (* (cos x) (cos x)) (cos x))) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (/ (pow (* (cos x) (cos x)) 3) (pow (* x (* sin cos)) 3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (- (/ (cbrt (/ (pow (* (cos x) (cos x)) 3) (pow (* x (* sin cos)) 3))) (* (* x cos) sin)) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) * * * * [misc]progress: [ 142 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (cos x) (cos x)) (* (cos x) (cos x))) (* (cos x) (cos x))) (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (pow (* (/ (cos x) x) (/ (cos x) (* sin cos))) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (- (/ (cbrt (pow (* (/ (cos x) x) (/ (cos x) (* sin cos))) 3)) (* (* x cos) sin)) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) * * * * [misc]progress: [ 143 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 144 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 145 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 146 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 147 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos x) (* x cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (cos x) (* x cos)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (- (/ (* (/ (cos x) (* x cos)) (/ (cos x) sin)) (* (* x cos) sin)) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) * [enter]simplify: Simplifying (/ (cos x) sin) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (cos x) sin) * [misc]simplify: Simplified (2 1 1 2) to (λ (x cos sin) (- (/ (* (/ (cos x) (* x cos)) (/ (cos x) sin)) (* (* x cos) sin)) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) * * * * [misc]progress: [ 148 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 149 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 150 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 151 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 152 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (cos x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos x) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (- (/ (/ (cos x) (/ (* (* x cos) sin) (cos x))) (* (* x cos) sin)) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) * * * * [misc]progress: [ 153 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (cos (+ x x)) (cos (- x x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (+ (cos (+ x x)) 1) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (- (/ (/ (+ (cos (+ x x)) 1) (* (* (* x cos) sin) 2)) (* (* x cos) sin)) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) * * * * [misc]progress: [ 154 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 155 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 156 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 157 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 158 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 159 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 160 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 161 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 162 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 163 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 164 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 165 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) (* 2/3 (/ (pow x 2) (* (pow sin 2) (pow cos 2))))) (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (+ (fma (/ 2/3 (* (* cos sin) (* cos sin))) (* x x) (/ -2 (* (* cos sin) (* cos sin)))) (/ (/ 1 (* x x)) (* (* cos sin) (* cos sin)))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (+ (fma (/ 2/3 (* (* cos sin) (* cos sin))) (* x x) (/ -2 (* (* cos sin) (* cos sin)))) (/ (/ 1 (* x x)) (* (* cos sin) (* cos sin))))) * * * * [misc]progress: [ 166 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (cos x) 2) (pow (sin x) 2)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (* (/ (+ (cos x) (sin x)) (* (* sin cos) (* sin cos))) (/ (- (cos x) (sin x)) (* x x))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (* (/ (+ (cos x) (sin x)) (* (* sin cos) (* sin cos))) (/ (- (cos x) (sin x)) (* x x)))) * * * * [misc]progress: [ 167 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (pow (cos x) 2) (pow (sin x) 2)) (* (pow x 2) (* (pow sin 2) (pow cos 2)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (* (/ (+ (cos x) (sin x)) (* (* sin cos) (* sin cos))) (/ (- (cos x) (sin x)) (* x x))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (* (/ (+ (cos x) (sin x)) (* (* sin cos) (* sin cos))) (/ (- (cos x) (sin x)) (* x x)))) * * * * [misc]progress: [ 168 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ x (* sin cos)) (* 1/3 (/ (pow x 3) (* sin cos)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * [exit]simplify: Simplified to (fma (/ (pow x 3) (* cos sin)) -1/3 (/ x (* cos sin))) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (/ (fma (/ (pow x 3) (* cos sin)) -1/3 (/ x (* cos sin))) (* (* x cos) sin)))) * * * * [misc]progress: [ 169 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (* x (* sin cos))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (* (/ (sin x) x) (/ (sin x) (* sin cos))) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (/ (* (/ (sin x) x) (/ (sin x) (* sin cos))) (* (* x cos) sin)))) * * * * [misc]progress: [ 170 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin x) 2) (* x (* sin cos))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (* (/ (sin x) x) (/ (sin x) (* sin cos))) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (/ (* (/ (sin x) x) (/ (sin x) (* sin cos))) (* (* x cos) sin)))) * * * * [misc]progress: [ 171 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x (* sin cos))) (/ x (* sin cos))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1 x) (* sin cos)) (/ (- x) (* sin cos))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (- (/ (+ (/ (/ 1 x) (* sin cos)) (/ (- x) (* sin cos))) (* (* x cos) sin)) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) * * * * [misc]progress: [ 172 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (cos x) 2) (* x (* sin cos))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (* (/ (cos x) x) (/ (cos x) (* sin cos))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (- (/ (* (/ (cos x) x) (/ (cos x) (* sin cos))) (* (* x cos) sin)) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) * * * * [misc]progress: [ 173 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (cos x) 2) (* x (* sin cos))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (* (/ (cos x) x) (/ (cos x) (* sin cos))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (- (/ (* (/ (cos x) x) (/ (cos x) (* sin cos))) (* (* x cos) sin)) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* x cos) sin)))) * * * * [misc]progress: [ 174 / 176 ] 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 x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) 0))) * * * * [misc]progress: [ 175 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* cos sin) x)))) * * * * [misc]progress: [ 176 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 2 2) to (λ (x cos sin) (- (/ (/ (* (cos x) (cos x)) (* (* x cos) sin)) (* (* x cos) sin)) (/ (/ (* (sin x) (sin x)) (* (* x cos) sin)) (* (* cos sin) x)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (cos (* 2 x))) in (x) around 0 * [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]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 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 -2/3 into -2/3 * [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 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 -2/9 into -2/9 * [misc]backup-simplify: Simplify (+ (* -2/9 (pow x 4)) (+ (* -2/3 (pow x 2)) 1)) into (- 1 (+ (* 2/3 (pow x 2)) (* 2/9 (pow x 4)))) * [misc]approximate: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in (x) around 0 * [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]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 (/ (+ (* -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 (/ (+ (* 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 2 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 2 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 2 x)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 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 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 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 2 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 2 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 2 x)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 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 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 2 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 2 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 2 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 2 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 2 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 2 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 2 x)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (cos (/ 2 (/ 1 x))) 1/3) into (pow (cos (* 2 x)) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in (x) around 0 * [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]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 (/ (+ (* -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 (/ (+ (* 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -2 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -2 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -2 x)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 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 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 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -2 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -2 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -2 x)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 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 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -2 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -2 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -2 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -2 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -2 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -2 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -2 x)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (cos (/ -2 (/ 1 (- x)))) 1/3) into (pow (cos (* 2 x)) 1/3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (cos (* 2 x))) in (x) around 0 * [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]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 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 -2/3 into -2/3 * [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 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 -2/9 into -2/9 * [misc]backup-simplify: Simplify (+ (* -2/9 (pow x 4)) (+ (* -2/3 (pow x 2)) 1)) into (- 1 (+ (* 2/3 (pow x 2)) (* 2/9 (pow x 4)))) * [misc]approximate: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in (x) around 0 * [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]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 (/ (+ (* -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 (/ (+ (* 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 2 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 2 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 2 x)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 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 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 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 2 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 2 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 2 x)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 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 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 2 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 2 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 2 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 2 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 2 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 2 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 2 x)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (cos (/ 2 (/ 1 x))) 1/3) into (pow (cos (* 2 x)) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in (x) around 0 * [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]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 (/ (+ (* -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 (/ (+ (* 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -2 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -2 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -2 x)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 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 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 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -2 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -2 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -2 x)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 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 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -2 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -2 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -2 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -2 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -2 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -2 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -2 x)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (cos (/ -2 (/ 1 (- x)))) 1/3) into (pow (cos (* 2 x)) 1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (cos (* 2 x))) in (x) around 0 * [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]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 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 -2/3 into -2/3 * [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 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 -2/9 into -2/9 * [misc]backup-simplify: Simplify (+ (* -2/9 (pow x 4)) (+ (* -2/3 (pow x 2)) 1)) into (- 1 (+ (* 2/3 (pow x 2)) (* 2/9 (pow x 4)))) * [misc]approximate: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in (x) around 0 * [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]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 (/ (+ (* -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 (/ (+ (* 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 2 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 2 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 2 x)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 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 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 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 2 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 2 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 2 x)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 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 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 2 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 2 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 2 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 2 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 2 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 2 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 2 x)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (cos (/ 2 (/ 1 x))) 1/3) into (pow (cos (* 2 x)) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in (x) around 0 * [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]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 (/ (+ (* -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 (/ (+ (* 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -2 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -2 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -2 x)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 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 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 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -2 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -2 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -2 x)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 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 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -2 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -2 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -2 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -2 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -2 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -2 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -2 x)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (cos (/ -2 (/ 1 (- x)))) 1/3) into (pow (cos (* 2 x)) 1/3) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) in (x) around 0 * [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 (* (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]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 (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 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 (* (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 into -4/3 * [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 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 (+ (* 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 (+ (* 1 -2/9) (+ (* 0 0) (+ (* -2/3 -2/3) (+ (* 0 0) (* -2/9 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 (- 2)) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 2)) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 (- 2)) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 2/3) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -4/3) (+ (* 0 0) (+ (* 0 -2) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow -2/3 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow -2/3 2) 2)) (* (/ (pow 0 1) 1) (/ (pow -4/9 1) 1)) (* (/ (pow -2/3 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 2 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 (- 2)) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 2)) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 (- 2)) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 2/3) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -4/3) (+ (* 0 0) (+ (* 0 -2) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow -2/3 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow -2/3 2) 2)) (* (/ (pow 0 1) 1) (/ (pow -4/9 1) 1)) (* (/ (pow -2/3 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -2/9) (+ (* -2/3 0) (+ (* 0 -2/3) (+ (* -2/9 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 6) 720)) 0 (* 1 (/ (pow 2 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 2 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 4/45) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 (- 2)) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 2)) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 (- 2)) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 2)) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 2/3) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 (- 2)) 1) 1 (pow (* 24 2/3) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 (- 4/45)) 1)) (pow 1 1)))) 720) into -64/45 * [misc]backup-simplify: Simplify (+ (* 1/3 -64/45) (+ (* 0 0) (+ (* 0 -4/3) (+ (* 0 0) (+ (* 0 -2) (+ (* 0 0) (* 0 0))))))) into -64/135 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow -2/3 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow -2/3 2) 2)) (* (/ (pow 0 2) 2) (/ (pow -4/9 1) 1)) (* (/ (pow 0 1) 1) (/ (pow -2/3 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -2/3 3) 6)) (* (/ (pow -2/3 1) 1) (/ (pow -4/9 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow -64/135 1) 1)))) into -92/405 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 6) 720)) 0 (* 1 (/ (pow 2 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 2 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 4/45) * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 (- 2)) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 2)) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 (- 2)) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 2)) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 2/3) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 (- 2)) 1) 1 (pow (* 24 2/3) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 (- 4/45)) 1)) (pow 1 1)))) 720) into -64/45 * [misc]backup-simplify: Simplify (+ (* 1/3 -64/45) (+ (* 0 0) (+ (* 0 -4/3) (+ (* 0 0) (+ (* 0 -2) (+ (* 0 0) (* 0 0))))))) into -64/135 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow -2/3 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow -2/3 2) 2)) (* (/ (pow 0 2) 2) (/ (pow -4/9 1) 1)) (* (/ (pow 0 1) 1) (/ (pow -2/3 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -2/3 3) 6)) (* (/ (pow -2/3 1) 1) (/ (pow -4/9 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow -64/135 1) 1)))) into -92/405 * [misc]backup-simplify: Simplify (+ (* 1 -92/405) (+ (* 0 0) (+ (* -2/3 -2/9) (+ (* 0 0) (+ (* -2/9 -2/3) (+ (* 0 0) (* -92/405 1))))))) into -64/405 * [misc]backup-simplify: Simplify -64/405 into -64/405 * [misc]backup-simplify: Simplify (+ (* -64/405 (pow x 6)) (+ (* -4/3 (pow x 2)) 1)) into (- 1 (+ (* 4/3 (pow x 2)) (* 64/405 (pow x 6)))) * [misc]approximate: Taking taylor expansion of (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) in (x) around 0 * [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 (* (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]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) into (pow (pow (cos (/ 2 x)) 2) 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 (/ (* (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 (/ (+ (* -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 (/ (+ (* 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 (/ (+ (* 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 0) (* 0 (pow (cos (/ 2 x)) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 2 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 2 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 2 x)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 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 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 2 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 2 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 2 x)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 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 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 (+ (* (pow (cos (/ 2 x)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 2 x)) 1/3)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 2 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 2 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 2 x)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 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 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 2 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 2 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 2 x)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 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 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (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 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 2 x)) 1/3))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 2 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 2 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 2 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 2 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 2 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 2 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 2 x)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 2 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 2 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 2 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 2 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 2 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 2 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 2 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 2 x)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ 2 x)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 2 x)) 1/3)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (cos (/ 2 (/ 1 x))) 2) 1/3) into (pow (pow (cos (* 2 x)) 2) 1/3) * [misc]approximate: Taking taylor expansion of (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) in (x) around 0 * [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 (* (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]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) into (pow (pow (cos (/ -2 x)) 2) 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 (/ (* (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 (/ (+ (* -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 (/ (+ (* 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 (/ (+ (* 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 0) (* 0 (pow (cos (/ -2 x)) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -2 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -2 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -2 x)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 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 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -2 x)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -2 x)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -2 x)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 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 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 (+ (* (pow (cos (/ -2 x)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -2 x)) 1/3)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -2 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -2 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -2 x)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 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 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -2 x)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -2 x)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -2 x)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 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 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (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 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -2 x)) 1/3))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -2 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -2 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -2 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -2 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -2 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -2 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -2 x)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -2 x)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -2 x)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -2 x)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -2 x)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -2 x)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -2 x)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -2 x)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -2 x)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -2 x)) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ -2 x)) 1/3)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (cos (/ -2 (/ 1 (- x)))) 2) 1/3) into (pow (pow (cos (* 2 x)) 2) 1/3) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 81 ] simplifiying candidate # * [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 1 1) to (λ (x cos sin) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (/ (* (cbrt (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (cbrt (cbrt (cos (* 2 x))))) (* (* x cos) sin)))) * * * * [misc]progress: [ 8 / 81 ] 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 1 1) to (λ (x cos sin) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (/ (* (cbrt (sqrt (cos (* 2 x)))) (cbrt (sqrt (cos (* 2 x))))) (* (* x cos) sin)))) * * * * [misc]progress: [ 9 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (x cos sin) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (/ (* 1 (cbrt (cos (* 2 x)))) (* (* x cos) sin)))) * * * * [misc]progress: [ 10 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (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 1 1 2 1) to (λ (x cos sin) (* (/ (* (cbrt (cos (* 2 x))) (* (cbrt (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (cbrt (cbrt (cos (* 2 x)))))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 21 / 81 ] 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 1 1 2 1) to (λ (x cos sin) (* (/ (* (cbrt (cos (* 2 x))) (* (cbrt (sqrt (cos (* 2 x)))) (cbrt (sqrt (cos (* 2 x)))))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 22 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x cos sin) (* (/ (* (cbrt (cos (* 2 x))) (* 1 (cbrt (cos (* 2 x))))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 23 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 81 ] 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 1 1 1 1) to (λ (x cos sin) (* (/ (* (* (cbrt (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (cbrt (cbrt (cos (* 2 x))))) (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 34 / 81 ] 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 1 1 1 1) to (λ (x cos sin) (* (/ (* (* (cbrt (sqrt (cos (* 2 x)))) (cbrt (sqrt (cos (* 2 x))))) (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 35 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x cos sin) (* (/ (* (* 1 (cbrt (cos (* 2 x)))) (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 36 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 2 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* 2 x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (* (/ (pow (cos (* 2 x)) (+ 1/3 1/3)) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 2/3 * [misc]simplify: Simplified (2 1 1 2) to (λ (x cos sin) (* (/ (pow (cos (* 2 x)) 2/3) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 43 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (* 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cos (* 2 x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (* (/ (pow (cbrt (cos (* 2 x))) (+ 1 1)) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 1 1 2) to (λ (x cos sin) (* (/ (pow (cbrt (cos (* 2 x))) 2) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 44 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* 2 x)) (cos (* 2 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cos (* 2 x)) (cos (* 2 x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (* (/ (pow (* (cos (* 2 x)) (cos (* 2 x))) 1/3) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 45 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (* (/ (pow (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) 1) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 46 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (* 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cos (* 2 x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (* (/ (pow (cbrt (cos (* 2 x))) (+ 1 1)) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 48 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (cos (* 2 x)))) (log (cbrt (cos (* 2 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (cos (* 2 x)))) (log (cbrt (cos (* 2 x))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (* (/ (exp (+ (log (cbrt (cos (* 2 x)))) (log (cbrt (cos (* 2 x)))))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 50 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (* 2 x)) (cos (* 2 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cos (* 2 x)) (cos (* 2 x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (* (/ (cbrt (* (cos (* 2 x)) (cos (* 2 x)))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 53 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (cos (* 2 x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (cos (* 2 x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x cos sin) (* (/ (* (* (cbrt (cos (* 2 x))) (cbrt (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))))) (cbrt (cbrt (cos (* 2 x))))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 58 / 81 ] 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 1 1 2) to (λ (x cos sin) (* (/ (* (* (cbrt (cos (* 2 x))) (cbrt (sqrt (cos (* 2 x))))) (cbrt (sqrt (cos (* 2 x))))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 59 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (* 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cos (* 2 x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x cos sin) (* (/ (* (* (cbrt (cos (* 2 x))) (cbrt 1)) (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 60 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (cos (* 2 x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (cos (* 2 x)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x cos sin) (* (/ (* (* (cbrt (cos (* 2 x))) (* (cbrt (cbrt (cos (* 2 x)))) (cbrt (cbrt (cos (* 2 x)))))) (cbrt (cbrt (cos (* 2 x))))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 61 / 81 ] 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 1 1 2) to (λ (x cos sin) (* (/ (* (* (cbrt (cos (* 2 x))) (sqrt (cbrt (cos (* 2 x))))) (sqrt (cbrt (cos (* 2 x))))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 62 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (* 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cos (* 2 x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x cos sin) (* (/ (* (* (cbrt (cos (* 2 x))) 1) (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 63 / 81 ] 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 1 1 1) to (λ (x cos sin) (* (/ (* (cbrt (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (* (cbrt (cbrt (cos (* 2 x)))) (cbrt (cos (* 2 x))))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 64 / 81 ] 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 1 1 1) to (λ (x cos sin) (* (/ (* (cbrt (sqrt (cos (* 2 x)))) (* (cbrt (sqrt (cos (* 2 x)))) (cbrt (cos (* 2 x))))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 65 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (* (/ (* 1 (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 66 / 81 ] 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 1 1 1) to (λ (x cos sin) (* (/ (* (* (cbrt (cbrt (cos (* 2 x)))) (cbrt (cbrt (cos (* 2 x))))) (* (cbrt (cbrt (cos (* 2 x)))) (cbrt (cos (* 2 x))))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 67 / 81 ] 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 1 1 1) to (λ (x cos sin) (* (/ (* (sqrt (cbrt (cos (* 2 x)))) (* (sqrt (cbrt (cos (* 2 x)))) (cbrt (cos (* 2 x))))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 68 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* 2/3 (pow x 2)) (* 2/9 (pow x 4)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (fma (pow x 4) -2/9 (fma x (* x -2/3) 1)) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (/ (fma (pow x 4) -2/9 (fma x (* x -2/3) 1)) (* (* x cos) sin)))) * * * * [misc]progress: [ 71 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cos (* 2 x)) 1/3) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cos (* 2 x))) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 72 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cos (* 2 x)) 1/3) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cos (* 2 x))) * [misc]simplify: Simplified (2 2 1) to (λ (x cos sin) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 73 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* 2/3 (pow x 2)) (* 2/9 (pow x 4)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (fma (pow x 4) -2/9 (fma x (* x -2/3) 1)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x cos sin) (* (/ (* (cbrt (cos (* 2 x))) (fma (pow x 4) -2/9 (fma x (* x -2/3) 1))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 74 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cos (* 2 x)) 1/3) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cos (* 2 x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x cos sin) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 75 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cos (* 2 x)) 1/3) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cos (* 2 x))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x cos sin) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 76 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* 2/3 (pow x 2)) (* 2/9 (pow x 4)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (fma (pow x 4) -2/9 (fma x (* x -2/3) 1)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (* (/ (* (fma (pow x 4) -2/9 (fma x (* x -2/3) 1)) (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 77 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cos (* 2 x)) 1/3) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cos (* 2 x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 78 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cos (* 2 x)) 1/3) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cos (* 2 x))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 79 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* 4/3 (pow x 2)) (* 64/405 (pow x 6)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (fma (pow x 6) -64/405 (fma x (* x -4/3) 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (* (/ (fma (pow x 6) -64/405 (fma x (* x -4/3) 1)) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 80 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (cos (* 2 x)) 2) 1/3) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (cos (* 2 x)) (cos (* 2 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (* (/ (cbrt (* (cos (* 2 x)) (cos (* 2 x)))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * * [misc]progress: [ 81 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (cos (* 2 x)) 2) 1/3) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (cos (* 2 x)) (cos (* 2 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (* (/ (cbrt (* (cos (* 2 x)) (cos (* 2 x)))) (* (* x cos) sin)) (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # # # # # # #) * * * [misc]regime-changes: Trying 3 branch expressions: (sin cos x) * * * * [misc]regimes: Trying to branch on sin from (# # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on cos from (# # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on x from (# # # # # # # # # # # # # #) * * * [misc]regime: Found split indices: #