* [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 84 additional inputs, on iter 1 have 172 / 256 * * * * [misc]points: Computing exacts on every 5 of 84 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 84 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 84 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 30 additional inputs, on iter 2 have 226 / 256 * * * * [misc]points: Computing exacts for 30 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 3 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 4 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 * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 258 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* (pow cos 2) (* (* x (pow sin 2)) x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (363 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 32 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 289 * * [misc]simplify: Extracting #4: cost 9 inf + 1972 * * [misc]simplify: Extracting #5: cost 1 inf + 2774 * * [misc]simplify: Extracting #6: cost 0 inf + 2957 * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* (* x cos) sin) (* (* x cos) sin))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* (* x cos) sin) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 sin)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 x))))) into (* x (* sin cos)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ -1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ -1 sin) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (/ -1 sin) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- sin))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- x)))))) into (* x (* sin cos)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (* x cos) sin) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 sin)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 x))))) into (* x (* sin cos)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ -1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ -1 sin) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (/ -1 sin) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- sin))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- x)))))) into (* x (* sin cos)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cos (* 2 x)) in (x) around 0 * [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 (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 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (- 2) into -2 * [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 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 2 4) 24)) 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]backup-simplify: Simplify (+ (* 2/3 (pow x 4)) (+ (* -2 (pow x 2)) 1)) into (- (+ (* 2/3 (pow x 4)) 1) (* 2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (cos (* 2 (/ 1 x))) in (x) around 0 * [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 (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 (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (/ 2 (/ 1 x))) into (cos (* 2 x)) * [misc]approximate: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in (x) around 0 * [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 (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 (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (/ -2 (/ 1 (- x)))) into (cos (* 2 x)) * * * * [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)) 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: simplifying candidates * * * * [misc]progress: [ 1 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos x) (cos x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 163 * [exit]simplify: Simplified to (* (cos x) (cos x)) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (- (* (cos x) (cos x)) (* (sin x) (sin x))) (* (* (* x cos) sin) (* (* x cos) sin)))) * * * * [misc]progress: [ 20 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 60 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 106 inf + 0 * * [misc]simplify: Extracting #2: cost 229 inf + 0 * * [misc]simplify: Extracting #3: cost 216 inf + 1339 * * [misc]simplify: Extracting #4: cost 125 inf + 25040 * * [misc]simplify: Extracting #5: cost 42 inf + 50693 * * [misc]simplify: Extracting #6: cost 2 inf + 67762 * * [misc]simplify: Extracting #7: cost 0 inf + 68629 * [exit]simplify: Simplified to (- (log (cos (* 2 x))) (+ (log (* sin (* cos x))) (log (* sin (* cos x))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (exp (- (log (cos (* 2 x))) (+ (log (* sin (* cos x))) (log (* sin (* cos x))))))) * * * * [misc]progress: [ 29 / 60 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 81 inf + 0 * * [misc]simplify: Extracting #2: cost 232 inf + 0 * * [misc]simplify: Extracting #3: cost 234 inf + 1010 * * [misc]simplify: Extracting #4: cost 126 inf + 24498 * * [misc]simplify: Extracting #5: cost 44 inf + 47047 * * [misc]simplify: Extracting #6: cost 3 inf + 64658 * * [misc]simplify: Extracting #7: cost 0 inf + 66200 * [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: [ 30 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 60 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 149 inf + 0 * * [misc]simplify: Extracting #2: cost 354 inf + 2 * * [misc]simplify: Extracting #3: cost 359 inf + 4974 * * [misc]simplify: Extracting #4: cost 179 inf + 57866 * * [misc]simplify: Extracting #5: cost 3 inf + 117757 * * [misc]simplify: Extracting #6: cost 0 inf + 117807 * [exit]simplify: Simplified to (* (/ (cos (* 2 x)) (* (* x (* cos sin)) (* x (* cos sin)))) (* (/ (cos (* 2 x)) (* (* x (* cos sin)) (* x (* cos sin)))) (/ (cos (* 2 x)) (* (* x (* cos sin)) (* x (* cos sin)))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (cbrt (* (/ (cos (* 2 x)) (* (* x (* cos sin)) (* x (* cos sin)))) (* (/ (cos (* 2 x)) (* (* x (* cos sin)) (* x (* cos sin)))) (/ (cos (* 2 x)) (* (* x (* cos sin)) (* x (* cos sin)))))))) * * * * [misc]progress: [ 33 / 60 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 134 inf + 0 * * [misc]simplify: Extracting #2: cost 347 inf + 3 * * [misc]simplify: Extracting #3: cost 355 inf + 4598 * * [misc]simplify: Extracting #4: cost 173 inf + 54809 * * [misc]simplify: Extracting #5: cost 0 inf + 118658 * * [misc]simplify: Extracting #6: cost 0 inf + 117258 * [exit]simplify: Simplified to (* (/ (cos (* 2 x)) (* (* x (* cos sin)) (* x (* cos sin)))) (* (/ (cos (* 2 x)) (* (* x (* cos sin)) (* x (* cos sin)))) (/ (cos (* 2 x)) (* (* x (* cos sin)) (* x (* cos sin)))))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (cbrt (* (/ (cos (* 2 x)) (* (* x (* cos sin)) (* x (* cos sin)))) (* (/ (cos (* 2 x)) (* (* x (* cos sin)) (* x (* cos sin)))) (/ (cos (* 2 x)) (* (* x (* cos sin)) (* x (* cos sin)))))))) * * * * [misc]progress: [ 34 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 60 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 106 inf + 0 * * [misc]simplify: Extracting #2: cost 224 inf + 1528 * * [misc]simplify: Extracting #3: cost 93 inf + 26096 * * [misc]simplify: Extracting #4: cost 2 inf + 43411 * * [misc]simplify: Extracting #5: cost 0 inf + 43536 * [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: [ 39 / 60 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 28 inf + 3 * * [misc]simplify: Extracting #3: cost 25 inf + 212 * * [misc]simplify: Extracting #4: cost 26 inf + 212 * * [misc]simplify: Extracting #5: cost 25 inf + 213 * * [misc]simplify: Extracting #6: cost 12 inf + 3050 * * [misc]simplify: Extracting #7: cost 0 inf + 6327 * [exit]simplify: Simplified to (/ (* (cbrt (cos (* 2 x))) (/ (cbrt (cos (* 2 x))) (* cos sin))) x) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (* (/ (* (cbrt (cos (* 2 x))) (/ (cbrt (cos (* 2 x))) (* cos sin))) 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 3 * * [misc]simplify: Extracting #4: cost 8 inf + 212 * * [misc]simplify: Extracting #5: cost 7 inf + 213 * * [misc]simplify: Extracting #6: cost 5 inf + 357 * * [misc]simplify: Extracting #7: cost 0 inf + 1551 * [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: [ 40 / 60 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 3 * * [misc]simplify: Extracting #4: cost 8 inf + 212 * * [misc]simplify: Extracting #5: cost 7 inf + 213 * * [misc]simplify: Extracting #6: cost 5 inf + 357 * * [misc]simplify: Extracting #7: cost 0 inf + 1351 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 3 * * [misc]simplify: Extracting #4: cost 8 inf + 212 * * [misc]simplify: Extracting #5: cost 7 inf + 213 * * [misc]simplify: Extracting #6: cost 5 inf + 357 * * [misc]simplify: Extracting #7: cost 0 inf + 1351 * [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: [ 41 / 60 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 504 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 170 * * [misc]simplify: Extracting #4: cost 6 inf + 213 * * [misc]simplify: Extracting #5: cost 1 inf + 825 * * [misc]simplify: Extracting #6: cost 0 inf + 1049 * [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: [ 42 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 60 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [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: [ 46 / 60 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 2 * * [misc]simplify: Extracting #6: cost 0 inf + 550 * [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: [ 47 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (* 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 288 * [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: [ 48 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [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: [ 50 / 60 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [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: [ 51 / 60 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [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: [ 52 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [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: [ 53 / 60 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [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: [ 54 / 60 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [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: [ 55 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2/3 (pow x 4)) 1) (* 2 (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 1 * * [misc]simplify: Extracting #3: cost 21 inf + 48 * * [misc]simplify: Extracting #4: cost 9 inf + 1894 * * [misc]simplify: Extracting #5: cost 0 inf + 4466 * [exit]simplify: Simplified to (+ (* x (* -2 x)) (- 1 (* -2/3 (pow x 4)))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (+ (* x (* -2 x)) (- 1 (* -2/3 (pow x 4)))) (* (* (* x cos) sin) (* (* x cos) sin)))) * * * * [misc]progress: [ 56 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 2 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 146 * [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: [ 57 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 2 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 146 * [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: [ 58 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* (pow x 2) (* (pow sin 2) (pow cos 2)))) (* 2/3 (/ (pow x 2) (* (pow sin 2) (pow cos 2))))) (* 2 (/ 1 (* (pow sin 2) (pow cos 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 9 inf + 0 * * [misc]simplify: Extracting #2: cost 152 inf + 0 * * [misc]simplify: Extracting #3: cost 213 inf + 1158 * * [misc]simplify: Extracting #4: cost 80 inf + 18367 * * [misc]simplify: Extracting #5: cost 0 inf + 29029 * [exit]simplify: Simplified to (+ (/ 2/3 (* (/ sin (/ x cos)) (/ sin (/ x cos)))) (+ (/ (/ 1 (* x x)) (* (* cos sin) (* cos sin))) (/ -2 (* (* cos sin) (* cos sin))))) * [misc]simplify: Simplified (2) to (λ (x cos sin) (+ (/ 2/3 (* (/ sin (/ x cos)) (/ sin (/ x cos)))) (+ (/ (/ 1 (* x x)) (* (* cos sin) (* cos sin))) (/ -2 (* (* cos sin) (* cos sin)))))) * * * * [misc]progress: [ 59 / 60 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 32 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 167 * * [misc]simplify: Extracting #4: cost 8 inf + 2095 * * [misc]simplify: Extracting #5: cost 0 inf + 2957 * [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: [ 60 / 60 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 32 inf + 0 * * [misc]simplify: Extracting #3: cost 29 inf + 167 * * [misc]simplify: Extracting #4: cost 8 inf + 2095 * * [misc]simplify: Extracting #5: cost 0 inf + 2957 * [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 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (* x cos) sin) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 sin)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 x))))) into (* x (* sin cos)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ -1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ -1 sin) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (/ -1 sin) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- sin))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- x)))))) into (* x (* sin cos)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* (* x cos) sin) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 sin)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 x))))) into (* x (* sin cos)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ -1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ -1 sin) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (/ -1 sin) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- sin))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- x)))))) into (* x (* sin cos)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in sin * [misc]taylor: Taking taylor expansion of (* 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* x cos) into (* x cos) * [misc]backup-simplify: Simplify (* (* x cos) 0) into 0 * [misc]backup-simplify: Simplify (+ (* x 0) (* 0 cos)) into 0 * [misc]backup-simplify: Simplify (+ (* (* x cos) 1) (* 0 0)) into (* x cos) * [misc]backup-simplify: Simplify (/ (cos (* 2 x)) (* x cos)) into (/ (cos (* 2 x)) (* x cos)) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in cos * [misc]taylor: Taking taylor expansion of (* 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* x 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* x 1) (* 0 0)) into x * [misc]backup-simplify: Simplify (+ (* 0 0) (* x sin)) into (* x sin) * [misc]backup-simplify: Simplify (/ (cos (* 2 x)) (* x sin)) into (/ (cos (* 2 x)) (* x sin)) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 x)) (* (* x cos) sin)) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]backup-simplify: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 2) (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))))) into (- (* 2 (/ 1 (* cos sin)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* cos sin)))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* cos sin))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 2 (/ 1 sin)) into (/ 2 sin) * [misc]backup-simplify: Simplify (- (/ 2 sin)) into (- (* 2 (/ 1 sin))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ 0 (* cos sin))) (* (- (* 2 (/ 1 (* cos sin)))) (/ 0 (* cos sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -2 (* (/ 1 sin) (* (/ 1 cos) x))) (* 1 (* (/ 1 sin) (* (/ 1 cos) (/ 1 x))))) into (- (/ 1 (* x (* sin cos))) (* 2 (/ x (* sin cos)))) * [misc]approximate: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) 1) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* x cos))) into (* x (* cos (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (/ 1 x) 1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ 1 sin)) into (/ 1 (* x sin)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* x sin))) into (* x (* sin (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* cos sin))) into (* cos (* sin (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (cos (/ 2 x)) (/ 1 (* cos sin))) into (* cos (* sin (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (* cos (* sin (cos (/ 2 x)))) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* sin (cos (/ 2 x))) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (cos (/ 2 x)) in cos * [misc]taylor: Taking taylor expansion of (/ 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 2 x) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (+ (* sin 0) (* 0 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify (* sin (cos (/ 2 x))) into (* sin (cos (/ 2 x))) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* sin (cos (/ 2 x))))) into (* sin (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (* sin (cos (/ 2 x))) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 2 x) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (cos (/ 2 x)))) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* cos (* sin (cos (/ 2 x)))) (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (* 0 (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* sin (cos (/ 2 x)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (* cos sin))) (+ (* (* cos (* sin (cos (/ 2 x)))) (/ 0 (/ 1 (* cos sin)))) (* 0 (/ 0 (/ 1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ 2 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* sin 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 2 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* sin (cos (/ 2 x))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ 2 (/ 1 x))) (* (/ 1 sin) (* (/ 1 cos) (/ 1 x)))) into (/ (cos (* 2 x)) (* cos (* x sin))) * [misc]approximate: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (/ -1 x) (/ -1 cos)) into (/ 1 (* x cos)) * [misc]backup-simplify: Simplify (* (/ 1 (* x cos)) -1) into (/ -1 (* x cos)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 (* x cos))) into (* -1 (* (cos (/ -2 x)) (* x cos))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (/ -1 x) -1) into (/ 1 x) * [misc]backup-simplify: Simplify (* (/ 1 x) (/ -1 sin)) into (/ -1 (* x sin)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 (* x sin))) into (* -1 (* (cos (/ -2 x)) (* x sin))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 (* cos sin))) into (* -1 (* (cos (/ -2 x)) (* cos sin))) * [misc]taylor: Taking taylor expansion of (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]backup-simplify: Simplify (/ (cos (/ -2 x)) (/ -1 (* cos sin))) into (* -1 (* (cos (/ -2 x)) (* cos sin))) * [misc]taylor: Taking taylor expansion of (* -1 (* (cos (/ -2 x)) (* cos sin))) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in cos * [misc]taylor: Taking taylor expansion of (/ -2 x) in cos * [misc]taylor: Taking taylor expansion of -2 in cos * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) sin) (* 0 0)) into (* (cos (/ -2 x)) sin) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (cos (/ -2 x)) sin)) (* 0 0)) into (- (* (cos (/ -2 x)) sin)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ -2 x)) sin)) in sin * [misc]taylor: Taking taylor expansion of (* (cos (/ -2 x)) sin) in sin * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ -2 x) in sin * [misc]taylor: Taking taylor expansion of -2 in sin * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 1) (* 0 0)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (- (cos (/ -2 x))) into (- (cos (/ -2 x))) * [misc]backup-simplify: Simplify (- (cos (/ -2 x))) into (- (cos (/ -2 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* -1 (* (cos (/ -2 x)) (* cos sin))) (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 sin) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (* (cos (/ -2 x)) sin)) (* 0 0))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (* cos sin))) (+ (* (* -1 (* (cos (/ -2 x)) (* cos sin))) (/ 0 (/ -1 (* cos sin)))) (* 0 (/ 0 (/ -1 (* cos sin)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (+ (* 0 sin) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (* (cos (/ -2 x)) sin)) (* 0 0)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (cos (/ -2 (/ 1 (- x))))) (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x))))) into (/ (cos (* 2 x)) (* cos (* x sin))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cos (* 2 x)) in (x) around 0 * [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 (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 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (- 2) into -2 * [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 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 2 4) 24)) 0 (* -1 (/ (pow 2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]backup-simplify: Simplify (+ (* 2/3 (pow x 4)) (+ (* -2 (pow x 2)) 1)) into (- (+ (* 2/3 (pow x 4)) 1) (* 2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (cos (* 2 (/ 1 x))) in (x) around 0 * [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 (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 (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (/ 2 (/ 1 x))) into (cos (* 2 x)) * [misc]approximate: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in (x) around 0 * [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 (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 (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (/ -2 (/ 1 (- x)))) into (cos (* 2 x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 58 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 51 inf + 0 * * [misc]simplify: Extracting #2: cost 102 inf + 0 * * [misc]simplify: Extracting #3: cost 96 inf + 270 * * [misc]simplify: Extracting #4: cost 48 inf + 9053 * * [misc]simplify: Extracting #5: cost 22 inf + 15240 * * [misc]simplify: Extracting #6: cost 0 inf + 22671 * [exit]simplify: Simplified to (- (log (cos (* 2 x))) (log (* sin (* cos x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (exp (- (log (cos (* 2 x))) (log (* sin (* cos x))))) (* (* x cos) sin))) * * * * [misc]progress: [ 21 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 58 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 137 inf + 0 * * [misc]simplify: Extracting #2: cost 247 inf + 129 * * [misc]simplify: Extracting #3: cost 236 inf + 3600 * * [misc]simplify: Extracting #4: cost 94 inf + 39731 * * [misc]simplify: Extracting #5: cost 1 inf + 66943 * * [misc]simplify: Extracting #6: cost 0 inf + 66727 * [exit]simplify: Simplified to (* (/ (/ (cos (* 2 x)) x) (* cos sin)) (* (/ (/ (cos (* 2 x)) x) (* cos sin)) (/ (/ (cos (* 2 x)) x) (* cos sin)))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (cbrt (* (/ (/ (cos (* 2 x)) x) (* cos sin)) (* (/ (/ (cos (* 2 x)) x) (* cos sin)) (/ (/ (cos (* 2 x)) x) (* cos sin))))) (* (* x cos) sin))) * * * * [misc]progress: [ 24 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 58 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 512 * * [misc]simplify: Extracting #3: cost 0 inf + 3399 * [exit]simplify: Simplified to (/ (cos x) (* x (/ cos (/ (cos x) sin)))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (- (/ (cos x) (* x (/ cos (/ (cos x) sin)))) (/ (* (sin x) (sin x)) (* (* x cos) sin))) (* (* x cos) sin))) * * * * [misc]progress: [ 29 / 58 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 14 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 44 * * [misc]simplify: Extracting #3: cost 13 inf + 44 * * [misc]simplify: Extracting #4: cost 14 inf + 44 * * [misc]simplify: Extracting #5: cost 13 inf + 45 * * [misc]simplify: Extracting #6: cost 11 inf + 189 * * [misc]simplify: Extracting #7: cost 2 inf + 2271 * * [misc]simplify: Extracting #8: cost 0 inf + 2837 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 4 inf + 3 * * [misc]simplify: Extracting #6: cost 0 inf + 552 * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) sin) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* x cos)) (/ (cbrt (cos (* 2 x))) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 30 / 58 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 44 * * [misc]simplify: Extracting #4: cost 6 inf + 44 * * [misc]simplify: Extracting #5: cost 5 inf + 45 * * [misc]simplify: Extracting #6: cost 0 inf + 736 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 4 inf + 3 * * [misc]simplify: Extracting #6: cost 0 inf + 472 * [exit]simplify: Simplified to (/ (sqrt (cos (* 2 x))) sin) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (/ (sqrt (cos (* 2 x))) (* x cos)) (/ (sqrt (cos (* 2 x))) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 31 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 2 * * [misc]simplify: Extracting #3: cost 0 inf + 170 * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 3 * * [misc]simplify: Extracting #5: cost 0 inf + 290 * [exit]simplify: Simplified to (/ (cos (* 2 x)) sin) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (/ 1 (* x cos)) (/ (cos (* 2 x)) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 32 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 58 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 2 * * [misc]simplify: Extracting #6: cost 0 inf + 550 * [exit]simplify: Simplified to (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (/ (* (* x cos) sin) (cbrt (cos (* 2 x))))) (* (* x cos) sin))) * * * * [misc]progress: [ 37 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (* 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 288 * [exit]simplify: Simplified to (sqrt (cos (* 2 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (/ (sqrt (cos (* 2 x))) (/ (* (* x cos) sin) (sqrt (cos (* 2 x))))) (* (* x cos) sin))) * * * * [misc]progress: [ 38 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos x) (cos x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 163 * [exit]simplify: Simplified to (* (cos x) (cos x)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (/ (/ (- (* (cos x) (cos x)) (* (sin x) (sin x))) (* (* x cos) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 40 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 58 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* x cos) sin)) 0)) * * * * [misc]progress: [ 48 / 58 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [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: [ 49 / 58 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [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: [ 50 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [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: [ 51 / 58 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [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: [ 52 / 58 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [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: [ 53 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x (* sin cos))) (* 2 (/ x (* sin cos)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 48 inf + 0 * * [misc]simplify: Extracting #3: cost 37 inf + 423 * * [misc]simplify: Extracting #4: cost 7 inf + 2459 * * [misc]simplify: Extracting #5: cost 1 inf + 3236 * * [misc]simplify: Extracting #6: cost 0 inf + 3359 * [exit]simplify: Simplified to (+ (/ (/ x sin) (/ cos -2)) (/ 1 (* (* cos x) sin))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (+ (/ (/ x sin) (/ cos -2)) (/ 1 (* (* cos x) sin))) (* (* x cos) sin))) * * * * [misc]progress: [ 54 / 58 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 212 * * [misc]simplify: Extracting #4: cost 4 inf + 213 * * [misc]simplify: Extracting #5: cost 0 inf + 724 * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* sin x) cos)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* x cos) sin))) * * * * [misc]progress: [ 55 / 58 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 212 * * [misc]simplify: Extracting #4: cost 4 inf + 213 * * [misc]simplify: Extracting #5: cost 0 inf + 724 * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* sin x) cos)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* x cos) sin))) * * * * [misc]progress: [ 56 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2/3 (pow x 4)) 1) (* 2 (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 26 inf + 1 * * [misc]simplify: Extracting #3: cost 21 inf + 48 * * [misc]simplify: Extracting #4: cost 9 inf + 1894 * * [misc]simplify: Extracting #5: cost 0 inf + 4466 * [exit]simplify: Simplified to (+ (* x (* -2 x)) (- 1 (* -2/3 (pow x 4)))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (/ (+ (* x (* -2 x)) (- 1 (* -2/3 (pow x 4)))) (* (* x cos) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 57 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 2 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 146 * [exit]simplify: Simplified to (cos (* 2 x)) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin))) * * * * [misc]progress: [ 58 / 58 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 2 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 146 * [exit]simplify: Simplified to (cos (* 2 x)) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* x cos) sin)) (* (* x cos) sin))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (* x cos) sin) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 sin)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 x))))) into (* x (* sin cos)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ -1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ -1 sin) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (/ -1 sin) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- sin))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- x)))))) into (* x (* sin cos)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (* (* x cos) sin) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in sin * [misc]taylor: Taking taylor expansion of (* x cos) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in cos * [misc]taylor: Taking taylor expansion of (* x cos) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]taylor: Taking taylor expansion of (* (* x cos) sin) in x * [misc]taylor: Taking taylor expansion of (* x cos) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 cos) into 0 * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 cos)) into cos * [misc]backup-simplify: Simplify (+ (* 0 0) (* cos sin)) into (* cos sin) * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in sin * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in cos * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]taylor: Taking taylor expansion of (/ 1 cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 cos)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (/ 1 cos) into (/ 1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]backup-simplify: Simplify (* 1 (/ 1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ 1 sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ 1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ 1 sin) into (/ 1 sin) * [misc]taylor: Taking taylor expansion of (/ 1 sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ 1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ 1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 cos) (/ 0 cos)) (* 0 (/ 0 cos)) (* 0 (/ 0 cos)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* (/ 1 (/ 1 sin)) (* (/ 1 (/ 1 cos)) (/ 1 (/ 1 x))))) into (* x (* sin cos)) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in sin * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in sin * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in sin * [misc]taylor: Taking taylor expansion of (- cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in sin * [misc]taylor: Taking taylor expansion of (- sin) in sin * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in cos * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in cos * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in cos * [misc]taylor: Taking taylor expansion of (- cos) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in cos * [misc]taylor: Taking taylor expansion of (- sin) in cos * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) in x * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- cos))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- cos)) in x * [misc]taylor: Taking taylor expansion of (- cos) in x * [misc]taylor: Taking taylor expansion of cos in x * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (/ 1 (- cos)) into (/ -1 cos) * [misc]taylor: Taking taylor expansion of (/ 1 (- sin)) in x * [misc]taylor: Taking taylor expansion of (- sin) in x * [misc]taylor: Taking taylor expansion of sin in x * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (/ 1 (- sin)) into (/ -1 sin) * [misc]backup-simplify: Simplify (* -1 (/ -1 cos)) into (/ 1 cos) * [misc]backup-simplify: Simplify (* (/ 1 cos) (/ -1 sin)) into (/ -1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ -1 (* cos sin)) in cos * [misc]taylor: Taking taylor expansion of -1 in cos * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* cos sin) in cos * [misc]taylor: Taking taylor expansion of cos in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of sin in cos * [misc]backup-simplify: Simplify sin into sin * [misc]backup-simplify: Simplify (* 0 sin) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 sin)) into sin * [misc]backup-simplify: Simplify (/ -1 sin) into (/ -1 sin) * [misc]taylor: Taking taylor expansion of (/ -1 sin) in sin * [misc]taylor: Taking taylor expansion of -1 in sin * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (* 0 (/ -1 sin))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 cos)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (* 0 (/ -1 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- cos) into (- cos) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 cos) (/ 0 (- cos))) (* 0 (/ 0 (- cos))) (* 0 (/ 0 (- cos))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 cos))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 cos) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 sin))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 sin))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 sin) (+ (* (/ -1 sin) (/ 0 sin)) (* 0 (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 (* (/ 1 (/ 1 (- sin))) (* (/ 1 (/ 1 (- cos))) (/ 1 (/ 1 (- x)))))) into (* x (* sin cos)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (/ (* (* x cos) sin) (cbrt (cos (* 2 x))))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (/ (* (* x cos) sin) (cbrt (cos (* 2 x))))) in sin * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) in sin * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in sin * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in sin * [misc]taylor: Taking taylor expansion of (* 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (log (cos (* 2 x))) into (log (cos (* 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 2 x)))) into (* 1/3 (log (cos (* 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 2 x))))) into (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in sin * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in sin * [misc]taylor: Taking taylor expansion of (* 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (log (cos (* 2 x))) into (log (cos (* 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 2 x)))) into (* 1/3 (log (cos (* 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 2 x))))) into (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (/ (* (* x cos) sin) (cbrt (cos (* 2 x)))) 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 (cbrt (cos (* 2 x))) in sin * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in sin * [misc]taylor: Taking taylor expansion of (* 2 x) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (log (cos (* 2 x))) into (log (cos (* 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 2 x)))) into (* 1/3 (log (cos (* 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 2 x))))) into (pow (cos (* 2 x)) 1/3) * [misc]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 (/ (* x cos) (pow (cos (* 2 x)) 1/3)) into (* (* x cos) (pow (/ 1 (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) (* (* x cos) (pow (/ 1 (cos (* 2 x))) 1/3))) into (/ (cos (* 2 x)) (* x cos)) * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (/ (* (* x cos) sin) (cbrt (cos (* 2 x))))) in cos * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) in cos * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in cos * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in cos * [misc]taylor: Taking taylor expansion of (* 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (log (cos (* 2 x))) into (log (cos (* 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 2 x)))) into (* 1/3 (log (cos (* 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 2 x))))) into (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in cos * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in cos * [misc]taylor: Taking taylor expansion of (* 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (log (cos (* 2 x))) into (log (cos (* 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 2 x)))) into (* 1/3 (log (cos (* 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 2 x))))) into (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (/ (* (* x cos) sin) (cbrt (cos (* 2 x)))) 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 (cbrt (cos (* 2 x))) in cos * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in cos * [misc]taylor: Taking taylor expansion of (* 2 x) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (* 2 x) into (* 2 x) * [misc]backup-simplify: Simplify (cos (* 2 x)) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (sin (* 2 x)) into (sin (* 2 x)) * [misc]backup-simplify: Simplify (* (cos (* 2 x)) 1) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (* (sin (* 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 2 x)) 0) into (cos (* 2 x)) * [misc]backup-simplify: Simplify (log (cos (* 2 x))) into (log (cos (* 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (* 2 x)))) into (* 1/3 (log (cos (* 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (* 2 x))))) into (pow (cos (* 2 x)) 1/3) * [misc]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 (/ (* x sin) (pow (cos (* 2 x)) 1/3)) into (* (* x sin) (pow (/ 1 (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) (* (* x sin) (pow (/ 1 (cos (* 2 x))) 1/3))) into (/ (cos (* 2 x)) (* x sin)) * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (/ (* (* x cos) sin) (cbrt (cos (* 2 x))))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 2)) 1)) (pow 1 1)))) 2) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (+ (* 0 0) (* 0 0))) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 2)) 1)) (pow 1 1)))) 2) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (+ (* 0 0) (* 0 0))) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (/ (* (* x cos) sin) (cbrt (cos (* 2 x)))) 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 (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 (* 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 (/ (* cos sin) 1) into (* cos sin) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* cos sin)) into (/ 1 (* cos sin)) * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (/ (* (* x cos) sin) (cbrt (cos (* 2 x))))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 2)) 1)) (pow 1 1)))) 2) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (+ (* 0 0) (* 0 0))) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 x))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 x))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 x)) in x * [misc]taylor: Taking taylor expansion of (* 2 x) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 2 2) 2)) 0) into (- 2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 2)) 1)) (pow 1 1)))) 2) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (+ (* 0 0) (* 0 0))) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (/ (* (* x cos) sin) (cbrt (cos (* 2 x)))) 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 (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 (* 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 (/ (* cos sin) 1) into (* cos sin) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [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 (* (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 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* cos 0) (* 0 sin))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* cos sin) (/ 0 1)))) 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 (* (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 (+ (* 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 (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -2/3 1) 1)))) into -2/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* cos sin) (/ -2/3 1)) (* 0 (/ 0 1)))) into (* 2/3 (* cos sin)) * [misc]backup-simplify: Simplify (- (/ -4/3 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ (* 2/3 (* cos sin)) (* 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 (/ (+ (* 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 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 (+ (* 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 1) (+ (* (* cos sin) (/ 0 1)) (* 0 (/ -2/3 1)) (* (* 2/3 (* cos sin)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* cos sin)) (+ (* (/ 1 (* cos sin)) (/ 0 (* cos sin))) (* 0 (/ (* 2/3 (* cos sin)) (* 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 (/ (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) (/ (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (cbrt (cos (* 2 (/ 1 x)))))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) (/ (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (cbrt (cos (* 2 (/ 1 x)))))) in sin * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) in sin * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in sin * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in sin * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (cbrt (cos (* 2 (/ 1 x))))) 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 (cbrt (cos (* 2 (/ 1 x)))) in sin * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [misc]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 (/ 2 x)) 1/3)) into (* (/ 1 (* x cos)) (pow (/ 1 (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) (* (/ 1 (* x cos)) (pow (/ 1 (cos (/ 2 x))) 1/3))) into (* x (* cos (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) (/ (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (cbrt (cos (* 2 (/ 1 x)))))) in cos * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) in cos * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in cos * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in cos * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (cbrt (cos (* 2 (/ 1 x))))) 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 (cbrt (cos (* 2 (/ 1 x)))) in cos * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ 1 x) into (/ 1 x) * [misc]backup-simplify: Simplify (* 2 (/ 1 x)) into (/ 2 x) * [misc]backup-simplify: Simplify (cos (/ 2 x)) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (sin (/ 2 x)) into (sin (/ 2 x)) * [misc]backup-simplify: Simplify (* (cos (/ 2 x)) 1) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (* (sin (/ 2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 2 x)) 0) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [misc]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 (/ 2 x)) 1/3)) into (* (/ 1 (* x sin)) (pow (/ 1 (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) (* (/ 1 (* x sin)) (pow (/ 1 (cos (/ 2 x))) 1/3))) into (* x (* sin (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) (/ (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (cbrt (cos (* 2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (cbrt (cos (* 2 (/ 1 x))))) 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 (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 (* 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)) (pow (cos (/ 2 x)) 1/3)) into (* (/ 1 (* cos sin)) (pow (/ 1 (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) (* (/ 1 (* cos sin)) (pow (/ 1 (cos (/ 2 x))) 1/3))) into (* cos (* sin (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) (/ (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (cbrt (cos (* 2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 (/ 1 x)))) (cbrt (cos (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 x))) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ 2 x)))) into (* 1/3 (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ 2 x))))) into (pow (cos (/ 2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)) (cbrt (cos (* 2 (/ 1 x))))) 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 (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 (* 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)) (pow (cos (/ 2 x)) 1/3)) into (* (/ 1 (* cos sin)) (pow (/ 1 (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) (* (/ 1 (* cos sin)) (pow (/ 1 (cos (/ 2 x))) 1/3))) 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 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 2 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 2 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 2 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 2 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 2 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ 2 x)) 1/3) 0) (* 0 (pow (cos (/ 2 x)) 1/3))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 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 (/ (* (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 (pow (cos (/ 2 x)) 1/3)) (+ (* (* (/ 1 (* cos sin)) (pow (/ 1 (cos (/ 2 x))) 1/3)) (/ 0 (pow (cos (/ 2 x)) 1/3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (/ 1 (* cos sin)) (pow (/ 1 (cos (/ 2 x))) 1/3))) (+ (* (* cos (* sin (cos (/ 2 x)))) (/ 0 (* (/ 1 (* cos sin)) (pow (/ 1 (cos (/ 2 x))) 1/3)))))) 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 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 2 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 2 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 2 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ 2 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ 2 x)) 1/3) 0) (+ (* 0 0) (* 0 (pow (cos (/ 2 x)) 1/3)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 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 (/ (* (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 (pow (cos (/ 2 x)) 1/3)) (+ (* (* (/ 1 (* cos sin)) (pow (/ 1 (cos (/ 2 x))) 1/3)) (/ 0 (pow (cos (/ 2 x)) 1/3))) (* 0 (/ 0 (pow (cos (/ 2 x)) 1/3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (/ 1 (* cos sin)) (pow (/ 1 (cos (/ 2 x))) 1/3))) (+ (* (* cos (* sin (cos (/ 2 x)))) (/ 0 (* (/ 1 (* cos sin)) (pow (/ 1 (cos (/ 2 x))) 1/3)))) (* 0 (/ 0 (* (/ 1 (* cos sin)) (pow (/ 1 (cos (/ 2 x))) 1/3)))))) 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 (/ (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) (/ (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (cbrt (cos (* 2 (/ 1 (- x))))))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) (/ (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (cbrt (cos (* 2 (/ 1 (- x))))))) in sin * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) in sin * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in sin * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in sin * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (cbrt (cos (* 2 (/ 1 (- x)))))) 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 (cbrt (cos (* 2 (/ 1 (- x))))) in sin * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) in sin * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in sin * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in sin * [misc]taylor: Taking taylor expansion of 2 in sin * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in sin * [misc]taylor: Taking taylor expansion of (- x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [misc]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 (/ -2 x)) 1/3)) into (* -1 (* (pow (/ 1 (cos (/ -2 x))) 1/3) (/ 1 (* x cos)))) * [misc]backup-simplify: Simplify (* (pow (cos (/ -2 x)) 1/3) (pow (cos (/ -2 x)) 1/3)) into (pow (pow (cos (/ -2 x)) 2) 1/3) * [misc]backup-simplify: Simplify (/ (pow (pow (cos (/ -2 x)) 2) 1/3) (* -1 (* (pow (/ 1 (cos (/ -2 x))) 1/3) (/ 1 (* x cos))))) into (* -1 (* (cos (/ -2 x)) (* x cos))) * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) (/ (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (cbrt (cos (* 2 (/ 1 (- x))))))) in cos * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) in cos * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in cos * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in cos * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (cbrt (cos (* 2 (/ 1 (- x)))))) 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 (cbrt (cos (* 2 (/ 1 (- x))))) in cos * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) in cos * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in cos * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in cos * [misc]taylor: Taking taylor expansion of 2 in cos * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in cos * [misc]taylor: Taking taylor expansion of (- x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (- x) into (- x) * [misc]backup-simplify: Simplify (/ 1 (- x)) into (/ -1 x) * [misc]backup-simplify: Simplify (* 2 (/ -1 x)) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [misc]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 (/ -2 x)) 1/3)) into (* -1 (* (pow (/ 1 (cos (/ -2 x))) 1/3) (/ 1 (* x sin)))) * [misc]backup-simplify: Simplify (* (pow (cos (/ -2 x)) 1/3) (pow (cos (/ -2 x)) 1/3)) into (pow (pow (cos (/ -2 x)) 2) 1/3) * [misc]backup-simplify: Simplify (/ (pow (pow (cos (/ -2 x)) 2) 1/3) (* -1 (* (pow (/ 1 (cos (/ -2 x))) 1/3) (/ 1 (* x sin))))) into (* -1 (* (cos (/ -2 x)) (* x sin))) * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) (/ (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (cbrt (cos (* 2 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (cbrt (cos (* 2 (/ 1 (- x)))))) 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 (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 (* -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)) (pow (cos (/ -2 x)) 1/3)) into (* -1 (* (pow (/ 1 (cos (/ -2 x))) 1/3) (/ 1 (* cos sin)))) * [misc]backup-simplify: Simplify (* (pow (cos (/ -2 x)) 1/3) (pow (cos (/ -2 x)) 1/3)) into (pow (pow (cos (/ -2 x)) 2) 1/3) * [misc]backup-simplify: Simplify (/ (pow (pow (cos (/ -2 x)) 2) 1/3) (* -1 (* (pow (/ 1 (cos (/ -2 x))) 1/3) (/ 1 (* cos sin))))) into (* -1 (* (cos (/ -2 x)) (* cos sin))) * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) (/ (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (cbrt (cos (* 2 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (cos (* 2 (/ 1 (- x))))) (cbrt (cos (* 2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (* 2 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (cos (* 2 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (* 2 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (* 2 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (* 2 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (cos (* 2 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 2 in x * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (cos (* 2 (/ 1 (- x)))) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (log (cos (/ -2 x))) into (log (cos (/ -2 x))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (/ -2 x)))) into (* 1/3 (log (cos (/ -2 x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (/ -2 x))))) into (pow (cos (/ -2 x)) 1/3) * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))) (cbrt (cos (* 2 (/ 1 (- x)))))) 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 (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 (* -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)) (pow (cos (/ -2 x)) 1/3)) into (* -1 (* (pow (/ 1 (cos (/ -2 x))) 1/3) (/ 1 (* cos sin)))) * [misc]backup-simplify: Simplify (* (pow (cos (/ -2 x)) 1/3) (pow (cos (/ -2 x)) 1/3)) into (pow (pow (cos (/ -2 x)) 2) 1/3) * [misc]backup-simplify: Simplify (/ (pow (pow (cos (/ -2 x)) 2) 1/3) (* -1 (* (pow (/ 1 (cos (/ -2 x))) 1/3) (/ 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -2 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -2 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -2 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -2 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -2 x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -2 x))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -2 x)) 1/3) 0) (* 0 (pow (cos (/ -2 x)) 1/3))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ (* (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 (pow (cos (/ -2 x)) 1/3)) (+ (* (* -1 (* (pow (/ 1 (cos (/ -2 x))) 1/3) (/ 1 (* cos sin)))) (/ 0 (pow (cos (/ -2 x)) 1/3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1 (* (pow (/ 1 (cos (/ -2 x))) 1/3) (/ 1 (* cos sin))))) (+ (* (* -1 (* (cos (/ -2 x)) (* cos sin))) (/ 0 (* -1 (* (pow (/ 1 (cos (/ -2 x))) 1/3) (/ 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -2 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -2 x)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -2 x)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -2 x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (/ -2 x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -2 x)) 1/3) 0) (+ (* 0 0) (* 0 (pow (cos (/ -2 x)) 1/3)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- sin) into (- sin) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 sin) (/ 0 (- sin))) (* 0 (/ 0 (- sin))))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ (* (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 (pow (cos (/ -2 x)) 1/3)) (+ (* (* -1 (* (pow (/ 1 (cos (/ -2 x))) 1/3) (/ 1 (* cos sin)))) (/ 0 (pow (cos (/ -2 x)) 1/3))) (* 0 (/ 0 (pow (cos (/ -2 x)) 1/3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1 (* (pow (/ 1 (cos (/ -2 x))) 1/3) (/ 1 (* cos sin))))) (+ (* (* -1 (* (cos (/ -2 x)) (* cos sin))) (/ 0 (* -1 (* (pow (/ 1 (cos (/ -2 x))) 1/3) (/ 1 (* cos sin)))))) (* 0 (/ 0 (* -1 (* (pow (/ 1 (cos (/ -2 x))) 1/3) (/ 1 (* cos sin)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in cos * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 sin)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (+ (* 0 0) (+ (* 0 sin) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (* (cos (/ -2 x)) sin)) (* 0 0)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (cos (/ -2 (/ 1 (- x))))) (* (/ 1 (- sin)) (* (/ 1 (- cos)) (/ 1 (- x))))) into (/ (cos (* 2 x)) (* cos (* x sin))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 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: simplifying candidates * * * * [misc]progress: [ 1 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (cbrt (cos (* 2 x)))) (log (cbrt (cos (* 2 x))))) (- (log (* (* x cos) sin)) (log (cbrt (cos (* 2 x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (441 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 123 inf + 0 * * [misc]simplify: Extracting #2: cost 226 inf + 0 * * [misc]simplify: Extracting #3: cost 215 inf + 910 * * [misc]simplify: Extracting #4: cost 203 inf + 3087 * * [misc]simplify: Extracting #5: cost 196 inf + 4802 * * [misc]simplify: Extracting #6: cost 192 inf + 5129 * * [misc]simplify: Extracting #7: cost 134 inf + 29905 * * [misc]simplify: Extracting #8: cost 15 inf + 84852 * * [misc]simplify: Extracting #9: cost 0 inf + 91969 * [exit]simplify: Simplified to (- (+ (log (cbrt (cos (* 2 x)))) (log (cbrt (cos (* 2 x))))) (- (log (* sin (* x cos))) (log (cbrt (cos (* 2 x)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (exp (- (+ (log (cbrt (cos (* 2 x)))) (log (cbrt (cos (* 2 x))))) (- (log (* sin (* x cos))) (log (cbrt (cos (* 2 x))))))) (* (* x cos) sin))) * * * * [misc]progress: [ 21 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (cbrt (cos (* 2 x)))) (log (cbrt (cos (* 2 x))))) (log (/ (* (* x cos) sin) (cbrt (cos (* 2 x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (374 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 103 inf + 0 * * [misc]simplify: Extracting #2: cost 252 inf + 0 * * [misc]simplify: Extracting #3: cost 254 inf + 576 * * [misc]simplify: Extracting #4: cost 237 inf + 3601 * * [misc]simplify: Extracting #5: cost 236 inf + 4016 * * [misc]simplify: Extracting #6: cost 213 inf + 10033 * * [misc]simplify: Extracting #7: cost 133 inf + 42963 * * [misc]simplify: Extracting #8: cost 20 inf + 92219 * * [misc]simplify: Extracting #9: cost 0 inf + 101476 * [exit]simplify: Simplified to (- (+ (log (cbrt (cos (* 2 x)))) (log (cbrt (cos (* 2 x))))) (log (/ (* sin (* x cos)) (cbrt (cos (* 2 x)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (exp (- (+ (log (cbrt (cos (* 2 x)))) (log (cbrt (cos (* 2 x))))) (log (/ (* sin (* x cos)) (cbrt (cos (* 2 x))))))) (* (* x cos) sin))) * * * * [misc]progress: [ 22 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (- (log (* (* x cos) sin)) (log (cbrt (cos (* 2 x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (431 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 114 inf + 0 * * [misc]simplify: Extracting #2: cost 227 inf + 0 * * [misc]simplify: Extracting #3: cost 216 inf + 730 * * [misc]simplify: Extracting #4: cost 200 inf + 3834 * * [misc]simplify: Extracting #5: cost 197 inf + 4802 * * [misc]simplify: Extracting #6: cost 185 inf + 8181 * * [misc]simplify: Extracting #7: cost 97 inf + 49057 * * [misc]simplify: Extracting #8: cost 3 inf + 95043 * * [misc]simplify: Extracting #9: cost 0 inf + 96331 * [exit]simplify: Simplified to (- (log (cbrt (cos (* 2 x)))) (- (- (log (cbrt (cos (* 2 x))))) (- (log (cbrt (cos (* 2 x)))) (log (* sin (* x cos)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (exp (- (log (cbrt (cos (* 2 x)))) (- (- (log (cbrt (cos (* 2 x))))) (- (log (cbrt (cos (* 2 x)))) (log (* sin (* x cos))))))) (* (* x cos) sin))) * * * * [misc]progress: [ 23 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (log (/ (* (* x cos) sin) (cbrt (cos (* 2 x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (288 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 84 inf + 0 * * [misc]simplify: Extracting #2: cost 195 inf + 0 * * [misc]simplify: Extracting #3: cost 197 inf + 505 * * [misc]simplify: Extracting #4: cost 187 inf + 1854 * * [misc]simplify: Extracting #5: cost 184 inf + 2632 * * [misc]simplify: Extracting #6: cost 159 inf + 9564 * * [misc]simplify: Extracting #7: cost 39 inf + 58830 * * [misc]simplify: Extracting #8: cost 0 inf + 76526 * * [misc]simplify: Extracting #9: cost 0 inf + 76176 * [exit]simplify: Simplified to (- (log (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (log (/ (* sin (* x cos)) (cbrt (cos (* 2 x)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (exp (- (log (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (log (/ (* sin (* x cos)) (cbrt (cos (* 2 x))))))) (* (* x cos) sin))) * * * * [misc]progress: [ 24 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos (* 2 x)) (cos (* 2 x))) (/ (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)) (cos (* 2 x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (435 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 170 inf + 0 * * [misc]simplify: Extracting #2: cost 630 inf + 45 * * [misc]simplify: Extracting #3: cost 592 inf + 6076 * * [misc]simplify: Extracting #4: cost 254 inf + 93951 * * [misc]simplify: Extracting #5: cost 4 inf + 171182 * * [misc]simplify: Extracting #6: cost 0 inf + 172398 * [exit]simplify: Simplified to (* (* (/ (cos (* 2 x)) (* cos (* x sin))) (/ (cos (* 2 x)) (* cos (* x sin)))) (/ (cos (* 2 x)) (* cos (* x sin)))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (cbrt (* (* (/ (cos (* 2 x)) (* cos (* x sin))) (/ (cos (* 2 x)) (* cos (* x sin)))) (/ (cos (* 2 x)) (* cos (* x sin))))) (* (* x cos) sin))) * * * * [misc]progress: [ 27 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos (* 2 x)) (cos (* 2 x))) (* (* (/ (* (* x cos) sin) (cbrt (cos (* 2 x)))) (/ (* (* x cos) sin) (cbrt (cos (* 2 x))))) (/ (* (* x cos) sin) (cbrt (cos (* 2 x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 40 inf + 0 * * [misc]simplify: Extracting #2: cost 183 inf + 1 * * [misc]simplify: Extracting #3: cost 219 inf + 678 * * [misc]simplify: Extracting #4: cost 132 inf + 23960 * * [misc]simplify: Extracting #5: cost 13 inf + 68865 * * [misc]simplify: Extracting #6: cost 0 inf + 74416 * [exit]simplify: Simplified to (/ (* (/ (cos (* 2 x)) (/ (* sin (* cos x)) (cbrt (cos (* 2 x))))) (/ (cos (* 2 x)) (/ (* sin (* cos x)) (cbrt (cos (* 2 x)))))) (/ (* sin (* cos x)) (cbrt (cos (* 2 x))))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (cbrt (/ (* (/ (cos (* 2 x)) (/ (* sin (* cos x)) (cbrt (cos (* 2 x))))) (/ (cos (* 2 x)) (/ (* sin (* cos x)) (cbrt (cos (* 2 x)))))) (/ (* sin (* cos x)) (cbrt (cos (* 2 x)))))) (* (* x cos) sin))) * * * * [misc]progress: [ 28 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (/ (* (* (* (* x cos) sin) (* (* x cos) sin)) (* (* x cos) sin)) (cos (* 2 x)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 104 inf + 0 * * [misc]simplify: Extracting #2: cost 340 inf + 1 * * [misc]simplify: Extracting #3: cost 346 inf + 1779 * * [misc]simplify: Extracting #4: cost 310 inf + 6699 * * [misc]simplify: Extracting #5: cost 116 inf + 62074 * * [misc]simplify: Extracting #6: cost 2 inf + 104414 * * [misc]simplify: Extracting #7: cost 0 inf + 105102 * [exit]simplify: Simplified to (* (* (/ (cos (* 2 x)) (* (* cos x) sin)) (/ (cos (* 2 x)) (* (* cos x) sin))) (/ (cos (* 2 x)) (* (* cos x) sin))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (cbrt (* (* (/ (cos (* 2 x)) (* (* cos x) sin)) (/ (cos (* 2 x)) (* (* cos x) sin))) (/ (cos (* 2 x)) (* (* cos x) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 29 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (* (* (/ (* (* x cos) sin) (cbrt (cos (* 2 x)))) (/ (* (* x cos) sin) (cbrt (cos (* 2 x))))) (/ (* (* x cos) sin) (cbrt (cos (* 2 x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 79 inf + 0 * * [misc]simplify: Extracting #2: cost 308 inf + 2 * * [misc]simplify: Extracting #3: cost 341 inf + 547 * * [misc]simplify: Extracting #4: cost 315 inf + 3655 * * [misc]simplify: Extracting #5: cost 206 inf + 42270 * * [misc]simplify: Extracting #6: cost 11 inf + 120066 * * [misc]simplify: Extracting #7: cost 0 inf + 123690 * * [misc]simplify: Extracting #8: cost 0 inf + 123610 * [exit]simplify: Simplified to (* (* (/ (cos (* 2 x)) (* cos (* sin x))) (/ (cos (* 2 x)) (* cos (* sin x)))) (/ (cos (* 2 x)) (* cos (* sin x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (cbrt (* (* (/ (cos (* 2 x)) (* cos (* sin x))) (/ (cos (* 2 x)) (* cos (* sin x)))) (/ (cos (* 2 x)) (* cos (* sin x))))) (* (* x cos) sin))) * * * * [misc]progress: [ 30 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (* (cbrt (/ (* (* x cos) sin) (cbrt (cos (* 2 x))))) (cbrt (/ (* (* x cos) sin) (cbrt (cos (* 2 x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 28 inf + 0 * * [misc]simplify: Extracting #4: cost 25 inf + 45 * * [misc]simplify: Extracting #5: cost 21 inf + 213 * * [misc]simplify: Extracting #6: cost 10 inf + 2565 * * [misc]simplify: Extracting #7: cost 0 inf + 5719 * [exit]simplify: Simplified to (/ (/ (cbrt (cos (* 2 x))) (cbrt (* (/ (* x sin) (cbrt (cos (* 2 x)))) cos))) (cbrt (* (/ (* x sin) (cbrt (cos (* 2 x)))) cos))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (/ (/ (cbrt (cos (* 2 x))) (cbrt (* (/ (* x sin) (cbrt (cos (* 2 x)))) cos))) (cbrt (* (/ (* x sin) (cbrt (cos (* 2 x)))) cos))) (/ (cbrt (cos (* 2 x))) (cbrt (/ (* (* x cos) sin) (cbrt (cos (* 2 x))))))) (* (* x cos) sin))) * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (cbrt (/ (* (* x cos) sin) (cbrt (cos (* 2 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 24 inf + 3 * * [misc]simplify: Extracting #5: cost 19 inf + 213 * * [misc]simplify: Extracting #6: cost 9 inf + 2382 * * [misc]simplify: Extracting #7: cost 0 inf + 4831 * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) (cbrt (* (/ (* sin cos) (cbrt (cos (* 2 x)))) x))) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (/ (cbrt (cos (* 2 x))) (* (cbrt (/ (* (* x cos) sin) (cbrt (cos (* 2 x))))) (cbrt (/ (* (* x cos) sin) (cbrt (cos (* 2 x))))))) (/ (cbrt (cos (* 2 x))) (cbrt (* (/ (* sin cos) (cbrt (cos (* 2 x)))) x)))) (* (* x cos) sin))) * * * * [misc]progress: [ 35 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (sqrt (/ (* (* x cos) sin) (cbrt (cos (* 2 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 24 inf + 3 * * [misc]simplify: Extracting #5: cost 19 inf + 213 * * [misc]simplify: Extracting #6: cost 9 inf + 2382 * * [misc]simplify: Extracting #7: cost 0 inf + 4751 * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) (sqrt (* (/ (* sin cos) (cbrt (cos (* 2 x)))) x))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (/ (cbrt (cos (* 2 x))) (sqrt (* (/ (* sin cos) (cbrt (cos (* 2 x)))) x))) (/ (cbrt (cos (* 2 x))) (sqrt (/ (* (* x cos) sin) (cbrt (cos (* 2 x))))))) (* (* x cos) sin))) * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (sqrt (/ (* (* x cos) sin) (cbrt (cos (* 2 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 26 inf + 0 * * [misc]simplify: Extracting #4: cost 24 inf + 3 * * [misc]simplify: Extracting #5: cost 19 inf + 213 * * [misc]simplify: Extracting #6: cost 9 inf + 2382 * * [misc]simplify: Extracting #7: cost 0 inf + 4751 * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) (sqrt (* (/ (* sin cos) (cbrt (cos (* 2 x)))) x))) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (/ (cbrt (cos (* 2 x))) (sqrt (/ (* (* x cos) sin) (cbrt (cos (* 2 x)))))) (/ (cbrt (cos (* 2 x))) (sqrt (* (/ (* sin cos) (cbrt (cos (* 2 x)))) x)))) (* (* x cos) sin))) * * * * [misc]progress: [ 36 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (/ (* x cos) (cbrt (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 2 * * [misc]simplify: Extracting #3: cost 22 inf + 44 * * [misc]simplify: Extracting #4: cost 23 inf + 44 * * [misc]simplify: Extracting #5: cost 22 inf + 45 * * [misc]simplify: Extracting #6: cost 14 inf + 1605 * * [misc]simplify: Extracting #7: cost 7 inf + 3603 * * [misc]simplify: Extracting #8: cost 0 inf + 6120 * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (/ cos (/ (cbrt (cos (* 2 x))) x))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (/ (cbrt (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (/ cos (/ (cbrt (cos (* 2 x))) x))) (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (cbrt (cos (* 2 x))))))) (* (* x cos) sin))) * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (cbrt (cos (* 2 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 3 * * [misc]simplify: Extracting #6: cost 0 inf + 1762 * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (cbrt (cos (* 2 x)))))) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (/ (cbrt (cos (* 2 x))) (/ (* x cos) (cbrt (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))))) (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (cbrt (cos (* 2 x))))))) (* (* x cos) sin))) * * * * [misc]progress: [ 37 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (/ (* x cos) (cbrt (sqrt (cos (* 2 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 2 * * [misc]simplify: Extracting #3: cost 22 inf + 44 * * [misc]simplify: Extracting #4: cost 23 inf + 44 * * [misc]simplify: Extracting #5: cost 22 inf + 45 * * [misc]simplify: Extracting #6: cost 10 inf + 2655 * * [misc]simplify: Extracting #7: cost 0 inf + 5560 * [exit]simplify: Simplified to (/ (cbrt (sqrt (cos (* 2 x)))) (/ cos (/ (cbrt (cos (* 2 x))) x))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (/ (cbrt (sqrt (cos (* 2 x)))) (/ cos (/ (cbrt (cos (* 2 x))) x))) (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (sqrt (cos (* 2 x))))))) (* (* x cos) sin))) * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (sqrt (cos (* 2 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 8 inf + 1 * * [misc]simplify: Extracting #3: cost 9 inf + 1 * * [misc]simplify: Extracting #4: cost 11 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 3 * * [misc]simplify: Extracting #6: cost 0 inf + 1904 * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (sqrt (cos (* 2 x)))))) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (/ (cbrt (cos (* 2 x))) (/ (* x cos) (cbrt (sqrt (cos (* 2 x)))))) (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (sqrt (cos (* 2 x))))))) (* (* x cos) sin))) * * * * [misc]progress: [ 38 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (/ (* x cos) (cbrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 22 inf + 45 * * [misc]simplify: Extracting #3: cost 20 inf + 211 * * [misc]simplify: Extracting #4: cost 19 inf + 375 * * [misc]simplify: Extracting #5: cost 18 inf + 376 * * [misc]simplify: Extracting #6: cost 16 inf + 520 * * [misc]simplify: Extracting #7: cost 7 inf + 2645 * * [misc]simplify: Extracting #8: cost 0 inf + 4529 * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) (* cos x)) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (/ (cbrt (cos (* 2 x))) (* cos x)) (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (cos (* 2 x)))))) (* (* x cos) sin))) * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (cos (* 2 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 3 * * [misc]simplify: Extracting #6: cost 0 inf + 1260 * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (cos (* 2 x))))) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (/ (cbrt (cos (* 2 x))) (* cos x)) (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (cos (* 2 x)))))) (* (* x cos) sin))) * * * * [misc]progress: [ 39 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (/ (* x cos) (* (cbrt (cbrt (cos (* 2 x)))) (cbrt (cbrt (cos (* 2 x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 38 inf + 0 * * [misc]simplify: Extracting #2: cost 39 inf + 2 * * [misc]simplify: Extracting #3: cost 39 inf + 44 * * [misc]simplify: Extracting #4: cost 40 inf + 44 * * [misc]simplify: Extracting #5: cost 39 inf + 45 * * [misc]simplify: Extracting #6: cost 34 inf + 815 * * [misc]simplify: Extracting #7: cost 16 inf + 6462 * * [misc]simplify: Extracting #8: cost 1 inf + 11923 * * [misc]simplify: Extracting #9: cost 0 inf + 12306 * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (cos (* 2 x)))) (cbrt (cbrt (cos (* 2 x))))) (/ x (/ (cbrt (cos (* 2 x))) cos))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (/ (* (cbrt (cbrt (cos (* 2 x)))) (cbrt (cbrt (cos (* 2 x))))) (/ x (/ (cbrt (cos (* 2 x))) cos))) (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (cbrt (cos (* 2 x))))))) (* (* x cos) sin))) * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (cbrt (cos (* 2 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 3 * * [misc]simplify: Extracting #6: cost 0 inf + 1762 * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (cbrt (cos (* 2 x)))))) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (/ (cbrt (cos (* 2 x))) (/ (* x cos) (* (cbrt (cbrt (cos (* 2 x)))) (cbrt (cbrt (cos (* 2 x))))))) (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (cbrt (cos (* 2 x))))))) (* (* x cos) sin))) * * * * [misc]progress: [ 40 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (/ (* x cos) (sqrt (cbrt (cos (* 2 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 20 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 2 * * [misc]simplify: Extracting #3: cost 21 inf + 44 * * [misc]simplify: Extracting #4: cost 22 inf + 44 * * [misc]simplify: Extracting #5: cost 21 inf + 45 * * [misc]simplify: Extracting #6: cost 16 inf + 856 * * [misc]simplify: Extracting #7: cost 3 inf + 4310 * * [misc]simplify: Extracting #8: cost 0 inf + 5098 * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (cos (* 2 x)))) x) (/ (cbrt (cos (* 2 x))) cos)) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (* (/ (sqrt (cbrt (cos (* 2 x)))) x) (/ (cbrt (cos (* 2 x))) cos)) (/ (cbrt (cos (* 2 x))) (/ sin (sqrt (cbrt (cos (* 2 x))))))) (* (* x cos) sin))) * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (/ sin (sqrt (cbrt (cos (* 2 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 1 * * [misc]simplify: Extracting #3: cost 8 inf + 1 * * [misc]simplify: Extracting #4: cost 10 inf + 1 * * [misc]simplify: Extracting #5: cost 8 inf + 3 * * [misc]simplify: Extracting #6: cost 0 inf + 1602 * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) (/ sin (sqrt (cbrt (cos (* 2 x)))))) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (/ (cbrt (cos (* 2 x))) (/ (* x cos) (sqrt (cbrt (cos (* 2 x)))))) (/ (cbrt (cos (* 2 x))) (/ sin (sqrt (cbrt (cos (* 2 x))))))) (* (* x cos) sin))) * * * * [misc]progress: [ 41 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (/ (* x cos) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 45 * * [misc]simplify: Extracting #3: cost 10 inf + 212 * * [misc]simplify: Extracting #4: cost 10 inf + 335 * * [misc]simplify: Extracting #5: cost 9 inf + 336 * * [misc]simplify: Extracting #6: cost 7 inf + 480 * * [misc]simplify: Extracting #7: cost 5 inf + 925 * * [misc]simplify: Extracting #8: cost 0 inf + 2078 * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) (* cos x)) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (/ (cbrt (cos (* 2 x))) (* cos x)) (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (cos (* 2 x)))))) (* (* x cos) sin))) * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (cos (* 2 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 6 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 9 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 3 * * [misc]simplify: Extracting #6: cost 0 inf + 1260 * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (cos (* 2 x))))) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (/ (cbrt (cos (* 2 x))) (* cos x)) (/ (cbrt (cos (* 2 x))) (/ sin (cbrt (cos (* 2 x)))))) (* (* x cos) sin))) * * * * [misc]progress: [ 42 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 3 * * [misc]simplify: Extracting #5: cost 0 inf + 329 * [exit]simplify: Simplified to (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))) * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (/ (* (* x cos) sin) (cbrt (cos (* 2 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 30 inf + 0 * * [misc]simplify: Extracting #2: cost 27 inf + 45 * * [misc]simplify: Extracting #3: cost 25 inf + 212 * * [misc]simplify: Extracting #4: cost 26 inf + 212 * * [misc]simplify: Extracting #5: cost 25 inf + 213 * * [misc]simplify: Extracting #6: cost 15 inf + 2260 * * [misc]simplify: Extracting #7: cost 0 inf + 6327 * [exit]simplify: Simplified to (* (/ (cbrt (cos (* 2 x))) cos) (/ (cbrt (cos (* 2 x))) (* x sin))) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (cbrt (cos (* 2 x))) (* (/ (cbrt (cos (* 2 x))) cos) (/ (cbrt (cos (* 2 x))) (* x sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 43 / 81 ] simplifiying candidate # * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 12 inf + 1 * * [misc]simplify: Extracting #3: cost 11 inf + 3 * * [misc]simplify: Extracting #4: cost 8 inf + 212 * * [misc]simplify: Extracting #5: cost 7 inf + 213 * * [misc]simplify: Extracting #6: cost 5 inf + 357 * * [misc]simplify: Extracting #7: cost 0 inf + 1551 * [exit]simplify: Simplified to (/ (cbrt (cos (* 2 x))) (* sin (* cos x))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (* (/ (cbrt (cos (* 2 x))) (* sin (* cos x))) (/ (cbrt (cos (* 2 x))) (/ 1 (cbrt (cos (* 2 x)))))) (* (* x cos) sin))) * [enter]simplify: Simplifying (/ (cbrt (cos (* 2 x))) (/ 1 (cbrt (cos (* 2 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 5 inf + 3 * * [misc]simplify: Extracting #6: cost 2 inf + 329 * * [misc]simplify: Extracting #7: cost 0 inf + 774 * [exit]simplify: Simplified to (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (/ (cbrt (cos (* 2 x))) (* (* x cos) sin)) (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) (* (* x cos) sin))) * * * * [misc]progress: [ 44 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (* x cos) sin) (cbrt (cos (* 2 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 3 * * [misc]simplify: Extracting #4: cost 19 inf + 212 * * [misc]simplify: Extracting #5: cost 20 inf + 212 * * [misc]simplify: Extracting #6: cost 19 inf + 213 * * [misc]simplify: Extracting #7: cost 11 inf + 1855 * * [misc]simplify: Extracting #8: cost 1 inf + 4407 * * [misc]simplify: Extracting #9: cost 0 inf + 4670 * [exit]simplify: Simplified to (cbrt (/ (* (* sin cos) x) (cbrt (cos (* 2 x))))) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (/ (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (cbrt (/ (* (* x cos) sin) (cbrt (cos (* 2 x))))) (cbrt (/ (* (* x cos) sin) (cbrt (cos (* 2 x))))))) (cbrt (/ (* (* sin cos) x) (cbrt (cos (* 2 x)))))) (* (* x cos) sin))) * * * * [misc]progress: [ 48 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (* x cos) sin) (cbrt (cos (* 2 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 0 * * [misc]simplify: Extracting #3: cost 22 inf + 3 * * [misc]simplify: Extracting #4: cost 19 inf + 212 * * [misc]simplify: Extracting #5: cost 20 inf + 212 * * [misc]simplify: Extracting #6: cost 19 inf + 213 * * [misc]simplify: Extracting #7: cost 11 inf + 1855 * * [misc]simplify: Extracting #8: cost 1 inf + 4367 * * [misc]simplify: Extracting #9: cost 0 inf + 4630 * [exit]simplify: Simplified to (sqrt (/ (* (* sin cos) x) (cbrt (cos (* 2 x))))) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (/ (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (sqrt (/ (* (* x cos) sin) (cbrt (cos (* 2 x)))))) (sqrt (/ (* (* sin cos) x) (cbrt (cos (* 2 x)))))) (* (* x cos) sin))) * * * * [misc]progress: [ 49 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ sin (cbrt (cbrt (cos (* 2 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 894 * [exit]simplify: Simplified to (/ sin (cbrt (cbrt (cos (* x 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (/ (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (/ (* x cos) (cbrt (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))))) (/ sin (cbrt (cbrt (cos (* x 2)))))) (* (* x cos) sin))) * * * * [misc]progress: [ 50 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ sin (cbrt (sqrt (cos (* 2 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 774 * [exit]simplify: Simplified to (/ sin (cbrt (sqrt (cos (* x 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (/ (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (/ (* x cos) (cbrt (sqrt (cos (* 2 x)))))) (/ sin (cbrt (sqrt (cos (* x 2)))))) (* (* x cos) sin))) * * * * [misc]progress: [ 51 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ sin (cbrt (cos (* 2 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 552 * [exit]simplify: Simplified to (/ sin (cbrt (cos (* x 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (/ (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (/ (* x cos) (cbrt 1))) (/ sin (cbrt (cos (* x 2))))) (* (* x cos) sin))) * * * * [misc]progress: [ 52 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ sin (cbrt (cbrt (cos (* 2 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 894 * [exit]simplify: Simplified to (/ sin (cbrt (cbrt (cos (* x 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (/ (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (/ (* x cos) (* (cbrt (cbrt (cos (* 2 x)))) (cbrt (cbrt (cos (* 2 x))))))) (/ sin (cbrt (cbrt (cos (* x 2)))))) (* (* x cos) sin))) * * * * [misc]progress: [ 53 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ sin (sqrt (cbrt (cos (* 2 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 5 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 1 * * [misc]simplify: Extracting #6: cost 0 inf + 814 * [exit]simplify: Simplified to (/ sin (sqrt (cbrt (cos (* x 2))))) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (/ (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (/ (* x cos) (sqrt (cbrt (cos (* 2 x)))))) (/ sin (sqrt (cbrt (cos (* x 2)))))) (* (* x cos) sin))) * * * * [misc]progress: [ 54 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ sin (cbrt (cos (* 2 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 552 * [exit]simplify: Simplified to (/ sin (cbrt (cos (* x 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (/ (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (/ (* x cos) 1)) (/ sin (cbrt (cos (* x 2))))) (* (* x cos) sin))) * * * * [misc]progress: [ 55 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* x cos) sin) (cbrt (cos (* 2 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 20 inf + 3 * * [misc]simplify: Extracting #3: cost 17 inf + 212 * * [misc]simplify: Extracting #4: cost 18 inf + 212 * * [misc]simplify: Extracting #5: cost 17 inf + 213 * * [misc]simplify: Extracting #6: cost 10 inf + 1470 * * [misc]simplify: Extracting #7: cost 0 inf + 4023 * [exit]simplify: Simplified to (* sin (* (/ cos (cbrt (cos (* 2 x)))) x)) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (/ (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) 1) (* sin (* (/ cos (cbrt (cos (* 2 x)))) x))) (* (* x cos) sin))) * * * * [misc]progress: [ 56 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cbrt (cos (* 2 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 4 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 1 * * [misc]simplify: Extracting #5: cost 0 inf + 552 * [exit]simplify: Simplified to (/ 1 (cbrt (cos (* x 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (/ (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* (* x cos) sin)) (/ 1 (cbrt (cos (* x 2))))) (* (* x cos) sin))) * * * * [misc]progress: [ 57 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (* 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 328 * [exit]simplify: Simplified to (cbrt (cos (* 2 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x cos sin) (/ (/ (cbrt (cos (* 2 x))) (/ (/ (* (* x cos) sin) (cbrt (cos (* 2 x)))) (cbrt (cos (* 2 x))))) (* (* x cos) sin))) * * * * [misc]progress: [ 58 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (* 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 328 * [exit]simplify: Simplified to (cbrt (cos (* 2 x))) * [misc]simplify: Simplified (2 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: [ 59 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 81 ] simplifiying candidate # * * * * [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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 5 inf + 0 * * [misc]simplify: Extracting #5: cost 7 inf + 0 * * [misc]simplify: Extracting #6: cost 5 inf + 2 * * [misc]simplify: Extracting #7: cost 0 inf + 852 * [exit]simplify: Simplified to (cbrt (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x))))) * [misc]simplify: Simplified (2 1 2 2 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: [ 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 6 inf + 0 * * [misc]simplify: Extracting #5: cost 4 inf + 2 * * [misc]simplify: Extracting #6: cost 0 inf + 510 * [exit]simplify: Simplified to (cbrt (sqrt (cos (* 2 x)))) * [misc]simplify: Simplified (2 1 2 2 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: [ 65 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 2 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: [ 66 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [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))))) 0)) * * * * [misc]progress: [ 71 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [exit]simplify: Simplified to (* (* cos sin) 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))))) (* (* cos sin) x))) * * * * [misc]progress: [ 72 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [exit]simplify: Simplified to (* (* cos sin) 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))))) (* (* cos sin) x))) * * * * [misc]progress: [ 73 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1) to (λ (x cos sin) (/ (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (/ 0 (cbrt (cos (* 2 x))))) (* (* x cos) sin))) * * * * [misc]progress: [ 74 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 1 2 1) to (λ (x cos sin) (/ (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (/ (* (* cos sin) x) (cbrt (cos (* 2 x))))) (* (* x cos) sin))) * * * * [misc]progress: [ 75 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (* sin cos)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 1 2 1) to (λ (x cos sin) (/ (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (/ (* (* cos sin) x) (cbrt (cos (* 2 x))))) (* (* x cos) sin))) * * * * [misc]progress: [ 76 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (* x (* sin cos))) (* 2 (/ x (* sin cos)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 48 inf + 0 * * [misc]simplify: Extracting #3: cost 37 inf + 423 * * [misc]simplify: Extracting #4: cost 7 inf + 2459 * * [misc]simplify: Extracting #5: cost 1 inf + 3236 * * [misc]simplify: Extracting #6: cost 0 inf + 3359 * [exit]simplify: Simplified to (+ (/ (/ x sin) (/ cos -2)) (/ 1 (* (* cos x) sin))) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (+ (/ (/ x sin) (/ cos -2)) (/ 1 (* (* cos x) sin))) (* (* x cos) sin))) * * * * [misc]progress: [ 77 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* cos (* x sin))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 212 * * [misc]simplify: Extracting #4: cost 4 inf + 213 * * [misc]simplify: Extracting #5: cost 0 inf + 724 * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* sin x) cos)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* x cos) sin))) * * * * [misc]progress: [ 78 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos (* 2 x)) (* cos (* x sin))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 11 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 212 * * [misc]simplify: Extracting #4: cost 4 inf + 213 * * [misc]simplify: Extracting #5: cost 0 inf + 724 * [exit]simplify: Simplified to (/ (cos (* 2 x)) (* (* sin x) cos)) * [misc]simplify: Simplified (2 1) to (λ (x cos sin) (/ (/ (cos (* 2 x)) (* (* sin x) cos)) (* (* x cos) sin))) * * * * [misc]progress: [ 79 / 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 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 2 * * [misc]simplify: Extracting #3: cost 25 inf + 333 * * [misc]simplify: Extracting #4: cost 12 inf + 1700 * * [misc]simplify: Extracting #5: cost 0 inf + 5705 * [exit]simplify: Simplified to (- (* -2/9 (pow x 4)) (+ (* 2/3 (* x x)) -1)) * [misc]simplify: Simplified (2 1 2 2) to (λ (x cos sin) (/ (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (/ (* (* x cos) sin) (- (* -2/9 (pow x 4)) (+ (* 2/3 (* x x)) -1)))) (* (* x cos) sin))) * * * * [misc]progress: [ 80 / 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 3 * * [misc]simplify: Extracting #5: cost 0 inf + 329 * [exit]simplify: Simplified to (cbrt (cos (* 2 x))) * [misc]simplify: Simplified (2 1 2 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: [ 81 / 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 1 * * [misc]simplify: Extracting #4: cost 3 inf + 3 * * [misc]simplify: Extracting #5: cost 0 inf + 329 * [exit]simplify: Simplified to (cbrt (cos (* 2 x))) * [misc]simplify: Simplified (2 1 2 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: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) in sin * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 x)) (* (* x cos) sin)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 x)) (* (* x cos) sin))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 x)) (* (* x cos) 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 (log (/ (cos (* 2 x)) (* (* 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]backup-simplify: Simplify (log (/ (cos (* 2 x)) (* x cos))) into (log (/ (cos (* 2 x)) (* x cos))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log sin)) (log (/ (cos (* 2 x)) (* x cos)))) into (- (log (/ (cos (* 2 x)) (* x cos))) (log sin)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ (cos (* 2 x)) (* x cos))) (log sin))) into (* 1/3 (- (log (/ (cos (* 2 x)) (* x cos))) (log sin))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ (cos (* 2 x)) (* x cos))) (log sin)))) into (exp (* 1/3 (- (log (/ (cos (* 2 x)) (* x cos))) (log sin)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) in cos * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 x)) (* (* x cos) sin)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 x)) (* (* x cos) sin))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 x)) (* (* x 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 (log (/ (cos (* 2 x)) (* (* 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]backup-simplify: Simplify (log (/ (cos (* 2 x)) (* x sin))) into (log (/ (cos (* 2 x)) (* x sin))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log cos)) (log (/ (cos (* 2 x)) (* x sin)))) into (- (log (/ (cos (* 2 x)) (* x sin))) (log cos)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ (cos (* 2 x)) (* x sin))) (log cos))) into (* 1/3 (- (log (/ (cos (* 2 x)) (* x sin))) (log cos))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ (cos (* 2 x)) (* x sin))) (log cos)))) into (exp (* 1/3 (- (log (/ (cos (* 2 x)) (* x sin))) (log cos)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) in x * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 x)) (* (* x cos) sin)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 x)) (* (* x cos) sin))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 x)) (* (* x cos) sin)))) 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)) (* (* 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]backup-simplify: Simplify (log (/ 1 (* cos sin))) into (log (/ 1 (* cos sin))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (/ 1 (* cos sin)))) into (- (log (/ 1 (* cos sin))) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1 (* cos sin))) (log x))) into (* 1/3 (- (log (/ 1 (* cos sin))) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) into (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) in x * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 x)) (* (* x cos) sin)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 x)) (* (* x cos) sin))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 x)) (* (* x cos) sin)))) 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)) (* (* 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]backup-simplify: Simplify (log (/ 1 (* cos sin))) into (log (/ 1 (* cos sin))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (/ 1 (* cos sin)))) into (- (log (/ 1 (* cos sin))) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1 (* cos sin))) (log x))) into (* 1/3 (- (log (/ 1 (* cos sin))) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) into (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (/ 1 (* cos sin))) (log x))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (* cos sin))) (log x)) in cos * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 sin)) into (log (/ 1 sin)) * [misc]taylor: Taking taylor expansion of (log x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log cos)) (log (/ 1 sin))) into (- (log (/ 1 sin)) (log cos)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log (/ 1 sin)) (log cos)) (- (log x))) into (- (log (/ 1 sin)) (+ (log cos) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))) into (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) into (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 sin)) (+ (log cos) (log x))) in sin * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (+ (log cos) (log x)) in sin * [misc]taylor: Taking taylor expansion of (log cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]taylor: Taking taylor expansion of (log x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log sin)) 0) into (- (log sin)) * [misc]backup-simplify: Simplify (+ (log cos) (log x)) into (+ (log cos) (log x)) * [misc]backup-simplify: Simplify (- (+ (log cos) (log x))) into (- (+ (log cos) (log x))) * [misc]backup-simplify: Simplify (+ (- (log sin)) (- (+ (log cos) (log x)))) into (- (+ (log sin) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (* 1/3 (- (+ (log sin) (+ (log cos) (log x))))) into (* -1/3 (+ (log sin) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) into (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) * [misc]backup-simplify: Simplify (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) into (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (* cos sin)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (/ 1 (* cos sin)))) into (- (log (/ 1 (* cos sin))) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 (* cos sin))) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) (+ (* (/ (pow 0 1) 1)))) 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 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 sin) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 sin)) (+ (log cos) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) (+ (* (/ (pow 0 1) 1)))) 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)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow cos 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (+ (log sin) (+ (log cos) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) (+ (* (/ (pow 0 1) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (* cos sin)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (* cos sin))))) 1)) (pow (/ 1 (* cos sin)) 1)))) 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (/ 1 (* cos sin)))) into (- (log (/ 1 (* cos sin))) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (+ (* 0 0) (* 0 (- (log (/ 1 (* cos sin))) (log x))))) into (- 2/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x))))) * [misc]taylor: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x))))) 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 (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (/ 1 (* cos sin))) (log x))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (* cos sin))) (log x)) in cos * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 sin)) into (log (/ 1 sin)) * [misc]taylor: Taking taylor expansion of (log x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log cos)) (log (/ 1 sin))) into (- (log (/ 1 sin)) (log cos)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log (/ 1 sin)) (log cos)) (- (log x))) into (- (log (/ 1 sin)) (+ (log cos) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))) into (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) into (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) * [misc]backup-simplify: Simplify (* -2/3 (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))))) into (* -2/3 (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))))) * [misc]taylor: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))))) 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 (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 sin)) (+ (log cos) (log x))) in sin * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (+ (log cos) (log x)) in sin * [misc]taylor: Taking taylor expansion of (log cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]taylor: Taking taylor expansion of (log x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log sin)) 0) into (- (log sin)) * [misc]backup-simplify: Simplify (+ (log cos) (log x)) into (+ (log cos) (log x)) * [misc]backup-simplify: Simplify (- (+ (log cos) (log x))) into (- (+ (log cos) (log x))) * [misc]backup-simplify: Simplify (+ (- (log sin)) (- (+ (log cos) (log x)))) into (- (+ (log sin) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (* 1/3 (- (+ (log sin) (+ (log cos) (log x))))) into (* -1/3 (+ (log sin) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) into (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) * [misc]backup-simplify: Simplify (* -2/3 (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))) into (* -2/3 (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))) * [misc]backup-simplify: Simplify (* -2/3 (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))) into (* -2/3 (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))) * [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 (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 sin) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 sin) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (/ 1 sin)) (+ (log cos) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow cos 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow cos 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log sin) (+ (log cos) (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (* cos sin)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 2 (/ 1 (* cos sin))))) 1)) (pow (/ 1 (* cos sin)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (* cos sin)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (/ 1 (* cos sin)))) into (- (log (/ 1 (* cos sin))) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -2) (+ (* 0 0) (* 0 (- (log (/ 1 (* cos sin))) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 2/3) 1) 1)) (* (/ (pow 0 1) 1)))) 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 (+ (* (* -2/3 (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))) (pow (* 1 (* 1 x)) 2)) (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))) into (- (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) (* 2/3 (* (pow x 2) (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in sin * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 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 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 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]backup-simplify: Simplify (log (* x (* cos (cos (/ 2 x))))) into (log (* x (* cos (cos (/ 2 x))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log sin)) (log (* x (* cos (cos (/ 2 x)))))) into (+ (log sin) (log (* x (* cos (cos (/ 2 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log sin) (log (* x (* cos (cos (/ 2 x))))))) into (* 1/3 (+ (log sin) (log (* x (* cos (cos (/ 2 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log sin) (log (* x (* cos (cos (/ 2 x)))))))) into (exp (* 1/3 (+ (log sin) (log (* x (* cos (cos (/ 2 x)))))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in cos * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 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 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 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]backup-simplify: Simplify (log (* x (* sin (cos (/ 2 x))))) into (log (* x (* sin (cos (/ 2 x))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log cos)) (log (* x (* sin (cos (/ 2 x)))))) into (+ (log (* x (* sin (cos (/ 2 x))))) (log cos)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* x (* sin (cos (/ 2 x))))) (log cos))) into (* 1/3 (+ (log (* x (* sin (cos (/ 2 x))))) (log cos))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* x (* sin (cos (/ 2 x))))) (log cos)))) into (exp (* 1/3 (+ (log (* x (* sin (cos (/ 2 x))))) (log cos)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in x * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))))) 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))) (* (* (/ 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]backup-simplify: Simplify (log (* cos (* sin (cos (/ 2 x))))) into (log (* cos (* sin (cos (/ 2 x))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* cos (* sin (cos (/ 2 x)))))) into (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x))) into (* 1/3 (+ (log x) (log (* cos (* sin (cos (/ 2 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log x) (log (* cos (* sin (cos (/ 2 x)))))))) into (exp (* 1/3 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in x * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))))) 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))) (* (* (/ 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]backup-simplify: Simplify (log (* cos (* sin (cos (/ 2 x))))) into (log (* cos (* sin (cos (/ 2 x))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* cos (* sin (cos (/ 2 x)))))) into (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x))) into (* 1/3 (+ (log x) (log (* cos (* sin (cos (/ 2 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log x) (log (* cos (* sin (cos (/ 2 x)))))))) into (exp (* 1/3 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)) in cos * [misc]taylor: Taking taylor expansion of (log (* cos (* sin (cos (/ 2 x))))) in cos * [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 (* (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 (cos (/ 2 x))) into (* sin (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 0 (* sin (cos (/ 2 x)))) 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 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* sin (cos (/ 2 x))))) into (* sin (cos (/ 2 x))) * [misc]backup-simplify: Simplify (log (* sin (cos (/ 2 x)))) into (log (* sin (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (log x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- -1) (log cos)) (log (* sin (cos (/ 2 x))))) into (+ (log (* sin (cos (/ 2 x)))) (log cos)) * [misc]backup-simplify: Simplify (+ (+ (log (* sin (cos (/ 2 x)))) (log cos)) (log x)) into (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x)))) into (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))))) into (exp (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x)))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))) in sin * [misc]taylor: Taking taylor expansion of (log (* sin (cos (/ 2 x)))) in sin * [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 (* (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 (cos (/ 2 x))) 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 (+ (* 0 0) (* 1 (cos (/ 2 x)))) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (+ (log cos) (log x)) in sin * [misc]taylor: Taking taylor expansion of (log cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]taylor: Taking taylor expansion of (log x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- -1) (log sin)) (log (cos (/ 2 x)))) into (+ (log sin) (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (+ (log cos) (log x)) into (+ (log cos) (log x)) * [misc]backup-simplify: Simplify (+ (+ (log sin) (log (cos (/ 2 x)))) (+ (log cos) (log x))) into (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x))))) into (* 1/3 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x)))))) into (exp (* 1/3 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x)))))) into (exp (* 1/3 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log 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 (/ (* (pow (* 1 0) 1)) (pow (* cos (* sin (cos (/ 2 x)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* cos (* sin (cos (/ 2 x)))))) into (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log x) (log (* cos (* sin (cos (/ 2 x)))))))) (+ (* (/ (pow 0 1) 1)))) 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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* sin (cos (/ 2 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 2 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow cos 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x)))))) (+ (* (/ (pow 0 1) 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 (- (/ 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 (/ (* (pow (* 1 0) 2)) (pow (* cos (* sin (cos (/ 2 x)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* cos (* sin (cos (/ 2 x)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* cos (* sin (cos (/ 2 x)))))) into (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log x) (log (* cos (* sin (cos (/ 2 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* sin (cos (/ 2 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* sin (cos (/ 2 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (exp (* 1/3 (+ (log (/ 1 sin)) (+ (log (cos (/ 2 (/ 1 x)))) (+ (log (/ 1 cos)) (log (/ 1 x))))))) into (exp (* 1/3 (+ (log (/ 1 x)) (+ (log (cos (* 2 x))) (+ (log (/ 1 cos)) (log (/ 1 sin))))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in sin * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 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 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 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]backup-simplify: Simplify (log (* -1 (* (cos (/ -2 x)) (* x cos)))) into (log (* -1 (* (cos (/ -2 x)) (* x cos)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log sin)) (log (* -1 (* (cos (/ -2 x)) (* x cos))))) into (+ (log sin) (log (* -1 (* (cos (/ -2 x)) (* x cos))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log sin) (log (* -1 (* (cos (/ -2 x)) (* x cos)))))) into (* 1/3 (+ (log sin) (log (* -1 (* (cos (/ -2 x)) (* x cos)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log sin) (log (* -1 (* (cos (/ -2 x)) (* x cos))))))) into (exp (* 1/3 (+ (log sin) (log (* -1 (* (cos (/ -2 x)) (* x cos))))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in cos * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- 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 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 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]backup-simplify: Simplify (log (* -1 (* (cos (/ -2 x)) (* x sin)))) into (log (* -1 (* (cos (/ -2 x)) (* x sin)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log cos)) (log (* -1 (* (cos (/ -2 x)) (* x sin))))) into (+ (log cos) (log (* -1 (* (cos (/ -2 x)) (* x sin))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log cos) (log (* -1 (* (cos (/ -2 x)) (* x sin)))))) into (* 1/3 (+ (log cos) (log (* -1 (* (cos (/ -2 x)) (* x sin)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log cos) (log (* -1 (* (cos (/ -2 x)) (* x sin))))))) into (exp (* 1/3 (+ (log cos) (log (* -1 (* (cos (/ -2 x)) (* x sin))))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in x * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))))) 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)))) (* (* (/ 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]backup-simplify: Simplify (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) into (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* -1 (* (cos (/ -2 x)) (* cos sin))))) into (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x))) into (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) into (exp (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in x * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))))) 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)))) (* (* (/ 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]backup-simplify: Simplify (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) into (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* -1 (* (cos (/ -2 x)) (* cos sin))))) into (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x))) into (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) into (exp (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)) in cos * [misc]taylor: Taking taylor expansion of (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) in cos * [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 sin) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [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 (+ (* (cos (/ -2 x)) sin) (* 0 0)) into (* (cos (/ -2 x)) sin) * [misc]backup-simplify: Simplify (+ (* -1 (* (cos (/ -2 x)) sin)) (* 0 0)) into (- (* (cos (/ -2 x)) sin)) * [misc]backup-simplify: Simplify (log (- (* (cos (/ -2 x)) sin))) into (log (- (* (cos (/ -2 x)) sin))) * [misc]taylor: Taking taylor expansion of (log x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- -1) (log cos)) (log (- (* (cos (/ -2 x)) sin)))) into (+ (log (- (* (cos (/ -2 x)) sin))) (log cos)) * [misc]backup-simplify: Simplify (+ (+ (log (- (* (cos (/ -2 x)) sin))) (log cos)) (log x)) into (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x)))) into (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))))) into (exp (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x)))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))) in sin * [misc]taylor: Taking taylor expansion of (log (- (* (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)) sin) in sin * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ -2 x) in sin * [misc]taylor: Taking taylor expansion of -2 in sin * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 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 (log (- (cos (/ -2 x)))) into (log (- (cos (/ -2 x)))) * [misc]taylor: Taking taylor expansion of (+ (log cos) (log x)) in sin * [misc]taylor: Taking taylor expansion of (log cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]taylor: Taking taylor expansion of (log x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- -1) (log sin)) (log (- (cos (/ -2 x))))) into (+ (log sin) (log (- (cos (/ -2 x))))) * [misc]backup-simplify: Simplify (+ (log cos) (log x)) into (+ (log cos) (log x)) * [misc]backup-simplify: Simplify (+ (+ (log sin) (log (- (cos (/ -2 x))))) (+ (log cos) (log x))) into (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x))))) into (* 1/3 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x)))))) into (exp (* 1/3 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x)))))) into (exp (* 1/3 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (* (cos (/ -2 x)) (* cos sin))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* -1 (* (cos (/ -2 x)) (* cos sin))))) into (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) (+ (* (/ (pow 0 1) 1)))) 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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* (cos (/ -2 x)) sin)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))))) (+ (* (/ (pow 0 1) 1)))) 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 (- (cos (/ -2 x))) into (- (cos (/ -2 x))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (cos (/ -2 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow cos 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x)))))) (+ (* (/ (pow 0 1) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (* (cos (/ -2 x)) (* cos sin))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (* (cos (/ -2 x)) (* cos sin))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* -1 (* (cos (/ -2 x)) (* cos sin))))) into (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* (cos (/ -2 x)) sin)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* (cos (/ -2 x)) sin)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (exp (* 1/3 (+ (log (/ 1 (- sin))) (+ (log (/ 1 (- cos))) (+ (log (- (cos (/ -2 (/ 1 (- x)))))) (log (/ 1 (- x)))))))) into (exp (* 1/3 (+ (log (/ -1 sin)) (+ (log (/ -1 x)) (+ (log (/ -1 cos)) (log (- (cos (* 2 x))))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) in sin * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 x)) (* (* x cos) sin)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 x)) (* (* x cos) sin))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 x)) (* (* x cos) 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 (log (/ (cos (* 2 x)) (* (* 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]backup-simplify: Simplify (log (/ (cos (* 2 x)) (* x cos))) into (log (/ (cos (* 2 x)) (* x cos))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log sin)) (log (/ (cos (* 2 x)) (* x cos)))) into (- (log (/ (cos (* 2 x)) (* x cos))) (log sin)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ (cos (* 2 x)) (* x cos))) (log sin))) into (* 1/3 (- (log (/ (cos (* 2 x)) (* x cos))) (log sin))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ (cos (* 2 x)) (* x cos))) (log sin)))) into (exp (* 1/3 (- (log (/ (cos (* 2 x)) (* x cos))) (log sin)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) in cos * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 x)) (* (* x cos) sin)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 x)) (* (* x cos) sin))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 x)) (* (* x 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 (log (/ (cos (* 2 x)) (* (* 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]backup-simplify: Simplify (log (/ (cos (* 2 x)) (* x sin))) into (log (/ (cos (* 2 x)) (* x sin))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log cos)) (log (/ (cos (* 2 x)) (* x sin)))) into (- (log (/ (cos (* 2 x)) (* x sin))) (log cos)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ (cos (* 2 x)) (* x sin))) (log cos))) into (* 1/3 (- (log (/ (cos (* 2 x)) (* x sin))) (log cos))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ (cos (* 2 x)) (* x sin))) (log cos)))) into (exp (* 1/3 (- (log (/ (cos (* 2 x)) (* x sin))) (log cos)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) in x * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 x)) (* (* x cos) sin)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 x)) (* (* x cos) sin))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 x)) (* (* x cos) sin)))) 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)) (* (* 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]backup-simplify: Simplify (log (/ 1 (* cos sin))) into (log (/ 1 (* cos sin))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (/ 1 (* cos sin)))) into (- (log (/ 1 (* cos sin))) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1 (* cos sin))) (log x))) into (* 1/3 (- (log (/ 1 (* cos sin))) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) into (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) in x * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 x)) (* (* x cos) sin)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 x)) (* (* x cos) sin))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 x)) (* (* x cos) sin)))) 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)) (* (* 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]backup-simplify: Simplify (log (/ 1 (* cos sin))) into (log (/ 1 (* cos sin))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (/ 1 (* cos sin)))) into (- (log (/ 1 (* cos sin))) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1 (* cos sin))) (log x))) into (* 1/3 (- (log (/ 1 (* cos sin))) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) into (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (/ 1 (* cos sin))) (log x))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (* cos sin))) (log x)) in cos * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 sin)) into (log (/ 1 sin)) * [misc]taylor: Taking taylor expansion of (log x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log cos)) (log (/ 1 sin))) into (- (log (/ 1 sin)) (log cos)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log (/ 1 sin)) (log cos)) (- (log x))) into (- (log (/ 1 sin)) (+ (log cos) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))) into (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) into (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 sin)) (+ (log cos) (log x))) in sin * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (+ (log cos) (log x)) in sin * [misc]taylor: Taking taylor expansion of (log cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]taylor: Taking taylor expansion of (log x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log sin)) 0) into (- (log sin)) * [misc]backup-simplify: Simplify (+ (log cos) (log x)) into (+ (log cos) (log x)) * [misc]backup-simplify: Simplify (- (+ (log cos) (log x))) into (- (+ (log cos) (log x))) * [misc]backup-simplify: Simplify (+ (- (log sin)) (- (+ (log cos) (log x)))) into (- (+ (log sin) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (* 1/3 (- (+ (log sin) (+ (log cos) (log x))))) into (* -1/3 (+ (log sin) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) into (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) * [misc]backup-simplify: Simplify (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) into (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (* cos sin)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (/ 1 (* cos sin)))) into (- (log (/ 1 (* cos sin))) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 (* cos sin))) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) (+ (* (/ (pow 0 1) 1)))) 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 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 sin) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 sin)) (+ (log cos) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) (+ (* (/ (pow 0 1) 1)))) 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)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow cos 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (+ (log sin) (+ (log cos) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) (+ (* (/ (pow 0 1) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (* cos sin)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (* cos sin))))) 1)) (pow (/ 1 (* cos sin)) 1)))) 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (/ 1 (* cos sin)))) into (- (log (/ 1 (* cos sin))) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (+ (* 0 0) (* 0 (- (log (/ 1 (* cos sin))) (log x))))) into (- 2/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x))))) * [misc]taylor: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x))))) 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 (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (/ 1 (* cos sin))) (log x))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (* cos sin))) (log x)) in cos * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 sin)) into (log (/ 1 sin)) * [misc]taylor: Taking taylor expansion of (log x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log cos)) (log (/ 1 sin))) into (- (log (/ 1 sin)) (log cos)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log (/ 1 sin)) (log cos)) (- (log x))) into (- (log (/ 1 sin)) (+ (log cos) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))) into (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) into (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) * [misc]backup-simplify: Simplify (* -2/3 (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))))) into (* -2/3 (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))))) * [misc]taylor: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))))) 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 (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 sin)) (+ (log cos) (log x))) in sin * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (+ (log cos) (log x)) in sin * [misc]taylor: Taking taylor expansion of (log cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]taylor: Taking taylor expansion of (log x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log sin)) 0) into (- (log sin)) * [misc]backup-simplify: Simplify (+ (log cos) (log x)) into (+ (log cos) (log x)) * [misc]backup-simplify: Simplify (- (+ (log cos) (log x))) into (- (+ (log cos) (log x))) * [misc]backup-simplify: Simplify (+ (- (log sin)) (- (+ (log cos) (log x)))) into (- (+ (log sin) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (* 1/3 (- (+ (log sin) (+ (log cos) (log x))))) into (* -1/3 (+ (log sin) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) into (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) * [misc]backup-simplify: Simplify (* -2/3 (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))) into (* -2/3 (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))) * [misc]backup-simplify: Simplify (* -2/3 (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))) into (* -2/3 (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))) * [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 (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 sin) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 sin) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (/ 1 sin)) (+ (log cos) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow cos 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow cos 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log sin) (+ (log cos) (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (* cos sin)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 2 (/ 1 (* cos sin))))) 1)) (pow (/ 1 (* cos sin)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (* cos sin)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (/ 1 (* cos sin)))) into (- (log (/ 1 (* cos sin))) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -2) (+ (* 0 0) (* 0 (- (log (/ 1 (* cos sin))) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 2/3) 1) 1)) (* (/ (pow 0 1) 1)))) 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 (+ (* (* -2/3 (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))) (pow (* 1 (* 1 x)) 2)) (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))) into (- (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) (* 2/3 (* (pow x 2) (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in sin * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 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 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 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]backup-simplify: Simplify (log (* x (* cos (cos (/ 2 x))))) into (log (* x (* cos (cos (/ 2 x))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log sin)) (log (* x (* cos (cos (/ 2 x)))))) into (+ (log sin) (log (* x (* cos (cos (/ 2 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log sin) (log (* x (* cos (cos (/ 2 x))))))) into (* 1/3 (+ (log sin) (log (* x (* cos (cos (/ 2 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log sin) (log (* x (* cos (cos (/ 2 x)))))))) into (exp (* 1/3 (+ (log sin) (log (* x (* cos (cos (/ 2 x)))))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in cos * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 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 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 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]backup-simplify: Simplify (log (* x (* sin (cos (/ 2 x))))) into (log (* x (* sin (cos (/ 2 x))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log cos)) (log (* x (* sin (cos (/ 2 x)))))) into (+ (log (* x (* sin (cos (/ 2 x))))) (log cos)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* x (* sin (cos (/ 2 x))))) (log cos))) into (* 1/3 (+ (log (* x (* sin (cos (/ 2 x))))) (log cos))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* x (* sin (cos (/ 2 x))))) (log cos)))) into (exp (* 1/3 (+ (log (* x (* sin (cos (/ 2 x))))) (log cos)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in x * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))))) 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))) (* (* (/ 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]backup-simplify: Simplify (log (* cos (* sin (cos (/ 2 x))))) into (log (* cos (* sin (cos (/ 2 x))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* cos (* sin (cos (/ 2 x)))))) into (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x))) into (* 1/3 (+ (log x) (log (* cos (* sin (cos (/ 2 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log x) (log (* cos (* sin (cos (/ 2 x)))))))) into (exp (* 1/3 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in x * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))))) 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))) (* (* (/ 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]backup-simplify: Simplify (log (* cos (* sin (cos (/ 2 x))))) into (log (* cos (* sin (cos (/ 2 x))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* cos (* sin (cos (/ 2 x)))))) into (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x))) into (* 1/3 (+ (log x) (log (* cos (* sin (cos (/ 2 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log x) (log (* cos (* sin (cos (/ 2 x)))))))) into (exp (* 1/3 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)) in cos * [misc]taylor: Taking taylor expansion of (log (* cos (* sin (cos (/ 2 x))))) in cos * [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 (* (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 (cos (/ 2 x))) into (* sin (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 0 (* sin (cos (/ 2 x)))) 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 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* sin (cos (/ 2 x))))) into (* sin (cos (/ 2 x))) * [misc]backup-simplify: Simplify (log (* sin (cos (/ 2 x)))) into (log (* sin (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (log x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- -1) (log cos)) (log (* sin (cos (/ 2 x))))) into (+ (log (* sin (cos (/ 2 x)))) (log cos)) * [misc]backup-simplify: Simplify (+ (+ (log (* sin (cos (/ 2 x)))) (log cos)) (log x)) into (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x)))) into (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))))) into (exp (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x)))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))) in sin * [misc]taylor: Taking taylor expansion of (log (* sin (cos (/ 2 x)))) in sin * [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 (* (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 (cos (/ 2 x))) 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 (+ (* 0 0) (* 1 (cos (/ 2 x)))) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (+ (log cos) (log x)) in sin * [misc]taylor: Taking taylor expansion of (log cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]taylor: Taking taylor expansion of (log x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- -1) (log sin)) (log (cos (/ 2 x)))) into (+ (log sin) (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (+ (log cos) (log x)) into (+ (log cos) (log x)) * [misc]backup-simplify: Simplify (+ (+ (log sin) (log (cos (/ 2 x)))) (+ (log cos) (log x))) into (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x))))) into (* 1/3 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x)))))) into (exp (* 1/3 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x)))))) into (exp (* 1/3 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log 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 (/ (* (pow (* 1 0) 1)) (pow (* cos (* sin (cos (/ 2 x)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* cos (* sin (cos (/ 2 x)))))) into (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log x) (log (* cos (* sin (cos (/ 2 x)))))))) (+ (* (/ (pow 0 1) 1)))) 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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* sin (cos (/ 2 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 2 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow cos 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x)))))) (+ (* (/ (pow 0 1) 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 (- (/ 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 (/ (* (pow (* 1 0) 2)) (pow (* cos (* sin (cos (/ 2 x)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* cos (* sin (cos (/ 2 x)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* cos (* sin (cos (/ 2 x)))))) into (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log x) (log (* cos (* sin (cos (/ 2 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* sin (cos (/ 2 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* sin (cos (/ 2 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (exp (* 1/3 (+ (log (/ 1 sin)) (+ (log (cos (/ 2 (/ 1 x)))) (+ (log (/ 1 cos)) (log (/ 1 x))))))) into (exp (* 1/3 (+ (log (/ 1 x)) (+ (log (cos (* 2 x))) (+ (log (/ 1 cos)) (log (/ 1 sin))))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in sin * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 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 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 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]backup-simplify: Simplify (log (* -1 (* (cos (/ -2 x)) (* x cos)))) into (log (* -1 (* (cos (/ -2 x)) (* x cos)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log sin)) (log (* -1 (* (cos (/ -2 x)) (* x cos))))) into (+ (log sin) (log (* -1 (* (cos (/ -2 x)) (* x cos))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log sin) (log (* -1 (* (cos (/ -2 x)) (* x cos)))))) into (* 1/3 (+ (log sin) (log (* -1 (* (cos (/ -2 x)) (* x cos)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log sin) (log (* -1 (* (cos (/ -2 x)) (* x cos))))))) into (exp (* 1/3 (+ (log sin) (log (* -1 (* (cos (/ -2 x)) (* x cos))))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in cos * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- 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 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 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]backup-simplify: Simplify (log (* -1 (* (cos (/ -2 x)) (* x sin)))) into (log (* -1 (* (cos (/ -2 x)) (* x sin)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log cos)) (log (* -1 (* (cos (/ -2 x)) (* x sin))))) into (+ (log cos) (log (* -1 (* (cos (/ -2 x)) (* x sin))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log cos) (log (* -1 (* (cos (/ -2 x)) (* x sin)))))) into (* 1/3 (+ (log cos) (log (* -1 (* (cos (/ -2 x)) (* x sin)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log cos) (log (* -1 (* (cos (/ -2 x)) (* x sin))))))) into (exp (* 1/3 (+ (log cos) (log (* -1 (* (cos (/ -2 x)) (* x sin))))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in x * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))))) 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)))) (* (* (/ 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]backup-simplify: Simplify (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) into (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* -1 (* (cos (/ -2 x)) (* cos sin))))) into (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x))) into (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) into (exp (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in x * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))))) 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)))) (* (* (/ 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]backup-simplify: Simplify (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) into (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* -1 (* (cos (/ -2 x)) (* cos sin))))) into (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x))) into (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) into (exp (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)) in cos * [misc]taylor: Taking taylor expansion of (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) in cos * [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 sin) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [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 (+ (* (cos (/ -2 x)) sin) (* 0 0)) into (* (cos (/ -2 x)) sin) * [misc]backup-simplify: Simplify (+ (* -1 (* (cos (/ -2 x)) sin)) (* 0 0)) into (- (* (cos (/ -2 x)) sin)) * [misc]backup-simplify: Simplify (log (- (* (cos (/ -2 x)) sin))) into (log (- (* (cos (/ -2 x)) sin))) * [misc]taylor: Taking taylor expansion of (log x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- -1) (log cos)) (log (- (* (cos (/ -2 x)) sin)))) into (+ (log (- (* (cos (/ -2 x)) sin))) (log cos)) * [misc]backup-simplify: Simplify (+ (+ (log (- (* (cos (/ -2 x)) sin))) (log cos)) (log x)) into (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x)))) into (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))))) into (exp (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x)))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))) in sin * [misc]taylor: Taking taylor expansion of (log (- (* (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)) sin) in sin * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ -2 x) in sin * [misc]taylor: Taking taylor expansion of -2 in sin * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 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 (log (- (cos (/ -2 x)))) into (log (- (cos (/ -2 x)))) * [misc]taylor: Taking taylor expansion of (+ (log cos) (log x)) in sin * [misc]taylor: Taking taylor expansion of (log cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]taylor: Taking taylor expansion of (log x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- -1) (log sin)) (log (- (cos (/ -2 x))))) into (+ (log sin) (log (- (cos (/ -2 x))))) * [misc]backup-simplify: Simplify (+ (log cos) (log x)) into (+ (log cos) (log x)) * [misc]backup-simplify: Simplify (+ (+ (log sin) (log (- (cos (/ -2 x))))) (+ (log cos) (log x))) into (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x))))) into (* 1/3 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x)))))) into (exp (* 1/3 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x)))))) into (exp (* 1/3 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (* (cos (/ -2 x)) (* cos sin))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* -1 (* (cos (/ -2 x)) (* cos sin))))) into (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) (+ (* (/ (pow 0 1) 1)))) 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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* (cos (/ -2 x)) sin)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))))) (+ (* (/ (pow 0 1) 1)))) 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 (- (cos (/ -2 x))) into (- (cos (/ -2 x))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (cos (/ -2 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow cos 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x)))))) (+ (* (/ (pow 0 1) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (* (cos (/ -2 x)) (* cos sin))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (* (cos (/ -2 x)) (* cos sin))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* -1 (* (cos (/ -2 x)) (* cos sin))))) into (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* (cos (/ -2 x)) sin)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* (cos (/ -2 x)) sin)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (exp (* 1/3 (+ (log (/ 1 (- sin))) (+ (log (/ 1 (- cos))) (+ (log (- (cos (/ -2 (/ 1 (- x)))))) (log (/ 1 (- x)))))))) into (exp (* 1/3 (+ (log (/ -1 sin)) (+ (log (/ -1 x)) (+ (log (/ -1 cos)) (log (- (cos (* 2 x))))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) in sin * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 x)) (* (* x cos) sin)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 x)) (* (* x cos) sin))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 x)) (* (* x cos) 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 (log (/ (cos (* 2 x)) (* (* 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]backup-simplify: Simplify (log (/ (cos (* 2 x)) (* x cos))) into (log (/ (cos (* 2 x)) (* x cos))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log sin)) (log (/ (cos (* 2 x)) (* x cos)))) into (- (log (/ (cos (* 2 x)) (* x cos))) (log sin)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ (cos (* 2 x)) (* x cos))) (log sin))) into (* 1/3 (- (log (/ (cos (* 2 x)) (* x cos))) (log sin))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ (cos (* 2 x)) (* x cos))) (log sin)))) into (exp (* 1/3 (- (log (/ (cos (* 2 x)) (* x cos))) (log sin)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) in cos * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 x)) (* (* x cos) sin)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 x)) (* (* x cos) sin))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 x)) (* (* x 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 (log (/ (cos (* 2 x)) (* (* 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]backup-simplify: Simplify (log (/ (cos (* 2 x)) (* x sin))) into (log (/ (cos (* 2 x)) (* x sin))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log cos)) (log (/ (cos (* 2 x)) (* x sin)))) into (- (log (/ (cos (* 2 x)) (* x sin))) (log cos)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ (cos (* 2 x)) (* x sin))) (log cos))) into (* 1/3 (- (log (/ (cos (* 2 x)) (* x sin))) (log cos))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ (cos (* 2 x)) (* x sin))) (log cos)))) into (exp (* 1/3 (- (log (/ (cos (* 2 x)) (* x sin))) (log cos)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) in x * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 x)) (* (* x cos) sin)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 x)) (* (* x cos) sin))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 x)) (* (* x cos) sin)))) 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)) (* (* 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]backup-simplify: Simplify (log (/ 1 (* cos sin))) into (log (/ 1 (* cos sin))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (/ 1 (* cos sin)))) into (- (log (/ 1 (* cos sin))) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1 (* cos sin))) (log x))) into (* 1/3 (- (log (/ 1 (* cos sin))) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) into (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) in x * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 x)) (* (* x cos) sin)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 x)) (* (* x cos) sin))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 x)) (* (* x cos) sin)))) 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)) (* (* 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]backup-simplify: Simplify (log (/ 1 (* cos sin))) into (log (/ 1 (* cos sin))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (/ 1 (* cos sin)))) into (- (log (/ 1 (* cos sin))) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1 (* cos sin))) (log x))) into (* 1/3 (- (log (/ 1 (* cos sin))) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) into (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (/ 1 (* cos sin))) (log x))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (* cos sin))) (log x)) in cos * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 sin)) into (log (/ 1 sin)) * [misc]taylor: Taking taylor expansion of (log x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log cos)) (log (/ 1 sin))) into (- (log (/ 1 sin)) (log cos)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log (/ 1 sin)) (log cos)) (- (log x))) into (- (log (/ 1 sin)) (+ (log cos) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))) into (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) into (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 sin)) (+ (log cos) (log x))) in sin * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (+ (log cos) (log x)) in sin * [misc]taylor: Taking taylor expansion of (log cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]taylor: Taking taylor expansion of (log x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log sin)) 0) into (- (log sin)) * [misc]backup-simplify: Simplify (+ (log cos) (log x)) into (+ (log cos) (log x)) * [misc]backup-simplify: Simplify (- (+ (log cos) (log x))) into (- (+ (log cos) (log x))) * [misc]backup-simplify: Simplify (+ (- (log sin)) (- (+ (log cos) (log x)))) into (- (+ (log sin) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (* 1/3 (- (+ (log sin) (+ (log cos) (log x))))) into (* -1/3 (+ (log sin) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) into (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) * [misc]backup-simplify: Simplify (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) into (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 cos))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (* cos sin)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (/ 1 (* cos sin)))) into (- (log (/ 1 (* cos sin))) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 (* cos sin))) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) (+ (* (/ (pow 0 1) 1)))) 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 sin) (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 sin) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (/ 1 sin)) (+ (log cos) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) (+ (* (/ (pow 0 1) 1)))) 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)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow cos 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (+ (log sin) (+ (log cos) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) (+ (* (/ (pow 0 1) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (* cos sin)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 2 (/ 1 (* cos sin))))) 1)) (pow (/ 1 (* cos sin)) 1)))) 2) into -2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (/ 1 (* cos sin)))) into (- (log (/ 1 (* cos sin))) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (+ (* 0 0) (* 0 (- (log (/ 1 (* cos sin))) (log x))))) into (- 2/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- 2/3) 1) 1)))) into (* -2/3 (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x))))) * [misc]taylor: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x))))) 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 (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (/ 1 (* cos sin))) (log x))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 (* cos sin))) (log x)) in cos * [misc]taylor: Taking taylor expansion of (log (/ 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 (log (/ 1 sin)) into (log (/ 1 sin)) * [misc]taylor: Taking taylor expansion of (log x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log cos)) (log (/ 1 sin))) into (- (log (/ 1 sin)) (log cos)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (+ (- (log (/ 1 sin)) (log cos)) (- (log x))) into (- (log (/ 1 sin)) (+ (log cos) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))) into (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) into (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) * [misc]backup-simplify: Simplify (* -2/3 (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))))) into (* -2/3 (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))))) * [misc]taylor: Taking taylor expansion of (* -2/3 (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))))) 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 (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x)))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (/ 1 sin)) (+ (log cos) (log x))) in sin * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (+ (log cos) (log x)) in sin * [misc]taylor: Taking taylor expansion of (log cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]taylor: Taking taylor expansion of (log x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- 1) (log sin)) 0) into (- (log sin)) * [misc]backup-simplify: Simplify (+ (log cos) (log x)) into (+ (log cos) (log x)) * [misc]backup-simplify: Simplify (- (+ (log cos) (log x))) into (- (+ (log cos) (log x))) * [misc]backup-simplify: Simplify (+ (- (log sin)) (- (+ (log cos) (log x)))) into (- (+ (log sin) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (* 1/3 (- (+ (log sin) (+ (log cos) (log x))))) into (* -1/3 (+ (log sin) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) into (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) * [misc]backup-simplify: Simplify (* -2/3 (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))) into (* -2/3 (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))) * [misc]backup-simplify: Simplify (* -2/3 (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))) into (* -2/3 (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))) * [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 (- (+ (* (/ 1 sin) (/ 0 sin)) (* 0 (/ 0 sin)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 sin) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 sin) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (/ 1 sin)) (+ (log cos) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 1 sin)) (+ (log cos) (log x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow cos 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow cos 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log sin) (+ (log cos) (log x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 (* cos sin)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 2 (/ 1 (* cos sin))))) 1)) (pow (/ 1 (* cos sin)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 (* cos sin)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (/ 1 (* cos sin)))) into (- (log (/ 1 (* cos sin))) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -2) (+ (* 0 0) (* 0 (- (log (/ 1 (* cos sin))) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (/ 1 (* cos sin))) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- 2/3) 1) 1)) (* (/ (pow 0 1) 1)))) 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 (+ (* (* -2/3 (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))) (pow (* 1 (* 1 x)) 2)) (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))) into (- (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) (* 2/3 (* (pow x 2) (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in sin * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 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 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 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]backup-simplify: Simplify (log (* x (* cos (cos (/ 2 x))))) into (log (* x (* cos (cos (/ 2 x))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log sin)) (log (* x (* cos (cos (/ 2 x)))))) into (+ (log sin) (log (* x (* cos (cos (/ 2 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log sin) (log (* x (* cos (cos (/ 2 x))))))) into (* 1/3 (+ (log sin) (log (* x (* cos (cos (/ 2 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log sin) (log (* x (* cos (cos (/ 2 x)))))))) into (exp (* 1/3 (+ (log sin) (log (* x (* cos (cos (/ 2 x)))))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in cos * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 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 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 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]backup-simplify: Simplify (log (* x (* sin (cos (/ 2 x))))) into (log (* x (* sin (cos (/ 2 x))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log cos)) (log (* x (* sin (cos (/ 2 x)))))) into (+ (log (* x (* sin (cos (/ 2 x))))) (log cos)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* x (* sin (cos (/ 2 x))))) (log cos))) into (* 1/3 (+ (log (* x (* sin (cos (/ 2 x))))) (log cos))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* x (* sin (cos (/ 2 x))))) (log cos)))) into (exp (* 1/3 (+ (log (* x (* sin (cos (/ 2 x))))) (log cos)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in x * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))))) 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))) (* (* (/ 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]backup-simplify: Simplify (log (* cos (* sin (cos (/ 2 x))))) into (log (* cos (* sin (cos (/ 2 x))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* cos (* sin (cos (/ 2 x)))))) into (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x))) into (* 1/3 (+ (log x) (log (* cos (* sin (cos (/ 2 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log x) (log (* cos (* sin (cos (/ 2 x)))))))) into (exp (* 1/3 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))) in x * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 x))) (* (* (/ 1 x) (/ 1 cos)) (/ 1 sin))))) 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))) (* (* (/ 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]backup-simplify: Simplify (log (* cos (* sin (cos (/ 2 x))))) into (log (* cos (* sin (cos (/ 2 x))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* cos (* sin (cos (/ 2 x)))))) into (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x))) into (* 1/3 (+ (log x) (log (* cos (* sin (cos (/ 2 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log x) (log (* cos (* sin (cos (/ 2 x)))))))) into (exp (* 1/3 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)) in cos * [misc]taylor: Taking taylor expansion of (log (* cos (* sin (cos (/ 2 x))))) in cos * [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 (* (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 (cos (/ 2 x))) into (* sin (cos (/ 2 x))) * [misc]backup-simplify: Simplify (* 0 (* sin (cos (/ 2 x)))) 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 (cos (/ 2 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* sin (cos (/ 2 x))))) into (* sin (cos (/ 2 x))) * [misc]backup-simplify: Simplify (log (* sin (cos (/ 2 x)))) into (log (* sin (cos (/ 2 x)))) * [misc]taylor: Taking taylor expansion of (log x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- -1) (log cos)) (log (* sin (cos (/ 2 x))))) into (+ (log (* sin (cos (/ 2 x)))) (log cos)) * [misc]backup-simplify: Simplify (+ (+ (log (* sin (cos (/ 2 x)))) (log cos)) (log x)) into (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x)))) into (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))))) into (exp (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x)))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))) in sin * [misc]taylor: Taking taylor expansion of (log (* sin (cos (/ 2 x)))) in sin * [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 (* (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 (cos (/ 2 x))) 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 (+ (* 0 0) (* 1 (cos (/ 2 x)))) into (cos (/ 2 x)) * [misc]backup-simplify: Simplify (log (cos (/ 2 x))) into (log (cos (/ 2 x))) * [misc]taylor: Taking taylor expansion of (+ (log cos) (log x)) in sin * [misc]taylor: Taking taylor expansion of (log cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]taylor: Taking taylor expansion of (log x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- -1) (log sin)) (log (cos (/ 2 x)))) into (+ (log sin) (log (cos (/ 2 x)))) * [misc]backup-simplify: Simplify (+ (log cos) (log x)) into (+ (log cos) (log x)) * [misc]backup-simplify: Simplify (+ (+ (log sin) (log (cos (/ 2 x)))) (+ (log cos) (log x))) into (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x))))) into (* 1/3 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x)))))) into (exp (* 1/3 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x)))))) into (exp (* 1/3 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log 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 (/ (* (pow (* 1 0) 1)) (pow (* cos (* sin (cos (/ 2 x)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* cos (* sin (cos (/ 2 x)))))) into (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log x) (log (* cos (* sin (cos (/ 2 x)))))))) (+ (* (/ (pow 0 1) 1)))) 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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* sin (cos (/ 2 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 2 x)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow cos 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log sin) (+ (log (cos (/ 2 x))) (+ (log cos) (log x)))))) (+ (* (/ (pow 0 1) 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 (- (/ 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 (/ (* (pow (* 1 0) 2)) (pow (* cos (* sin (cos (/ 2 x)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* cos (* sin (cos (/ 2 x)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* cos (* sin (cos (/ 2 x)))))) into (+ (log (* cos (* sin (cos (/ 2 x))))) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (* cos (* sin (cos (/ 2 x))))) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log x) (log (* cos (* sin (cos (/ 2 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* sin (cos (/ 2 x))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* sin (cos (/ 2 x))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* sin (cos (/ 2 x)))) (+ (log cos) (log x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (exp (* 1/3 (+ (log (/ 1 sin)) (+ (log (cos (/ 2 (/ 1 x)))) (+ (log (/ 1 cos)) (log (/ 1 x))))))) into (exp (* 1/3 (+ (log (/ 1 x)) (+ (log (cos (* 2 x))) (+ (log (/ 1 cos)) (log (/ 1 sin))))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in (x cos sin) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in sin * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 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 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 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]backup-simplify: Simplify (log (* -1 (* (cos (/ -2 x)) (* x cos)))) into (log (* -1 (* (cos (/ -2 x)) (* x cos)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log sin)) (log (* -1 (* (cos (/ -2 x)) (* x cos))))) into (+ (log sin) (log (* -1 (* (cos (/ -2 x)) (* x cos))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log sin) (log (* -1 (* (cos (/ -2 x)) (* x cos)))))) into (* 1/3 (+ (log sin) (log (* -1 (* (cos (/ -2 x)) (* x cos)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log sin) (log (* -1 (* (cos (/ -2 x)) (* x cos))))))) into (exp (* 1/3 (+ (log sin) (log (* -1 (* (cos (/ -2 x)) (* x cos))))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in cos * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- 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 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 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]backup-simplify: Simplify (log (* -1 (* (cos (/ -2 x)) (* x sin)))) into (log (* -1 (* (cos (/ -2 x)) (* x sin)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log cos)) (log (* -1 (* (cos (/ -2 x)) (* x sin))))) into (+ (log cos) (log (* -1 (* (cos (/ -2 x)) (* x sin))))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log cos) (log (* -1 (* (cos (/ -2 x)) (* x sin)))))) into (* 1/3 (+ (log cos) (log (* -1 (* (cos (/ -2 x)) (* x sin)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log cos) (log (* -1 (* (cos (/ -2 x)) (* x sin))))))) into (exp (* 1/3 (+ (log cos) (log (* -1 (* (cos (/ -2 x)) (* x sin))))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in x * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))))) 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)))) (* (* (/ 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]backup-simplify: Simplify (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) into (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* -1 (* (cos (/ -2 x)) (* cos sin))))) into (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x))) into (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) into (exp (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))) in x * [misc]taylor: Rewrote expression to (pow (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (cos (* 2 (/ 1 (- x)))) (* (* (/ 1 (- x)) (/ 1 (- cos))) (/ 1 (- sin)))))) 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)))) (* (* (/ 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]backup-simplify: Simplify (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) into (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* -1 (* (cos (/ -2 x)) (* cos sin))))) into (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x))) into (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) into (exp (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) in cos * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x))) in cos * [misc]taylor: Taking taylor expansion of 1/3 in cos * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)) in cos * [misc]taylor: Taking taylor expansion of (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) in cos * [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 sin) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [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 (+ (* (cos (/ -2 x)) sin) (* 0 0)) into (* (cos (/ -2 x)) sin) * [misc]backup-simplify: Simplify (+ (* -1 (* (cos (/ -2 x)) sin)) (* 0 0)) into (- (* (cos (/ -2 x)) sin)) * [misc]backup-simplify: Simplify (log (- (* (cos (/ -2 x)) sin))) into (log (- (* (cos (/ -2 x)) sin))) * [misc]taylor: Taking taylor expansion of (log x) in cos * [misc]taylor: Taking taylor expansion of x in cos * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- -1) (log cos)) (log (- (* (cos (/ -2 x)) sin)))) into (+ (log (- (* (cos (/ -2 x)) sin))) (log cos)) * [misc]backup-simplify: Simplify (+ (+ (log (- (* (cos (/ -2 x)) sin))) (log cos)) (log x)) into (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x)))) into (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))))) into (exp (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))))) in sin * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x)))) in sin * [misc]taylor: Taking taylor expansion of 1/3 in sin * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))) in sin * [misc]taylor: Taking taylor expansion of (log (- (* (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)) sin) in sin * [misc]taylor: Taking taylor expansion of (cos (/ -2 x)) in sin * [misc]taylor: Taking taylor expansion of (/ -2 x) in sin * [misc]taylor: Taking taylor expansion of -2 in sin * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (/ -2 x) into (/ -2 x) * [misc]backup-simplify: Simplify (cos (/ -2 x)) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (sin (/ -2 x)) into (sin (/ -2 x)) * [misc]taylor: Taking taylor expansion of sin in sin * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 1) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (sin (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -2 x)) 0) into (cos (/ -2 x)) * [misc]backup-simplify: Simplify (* (cos (/ -2 x)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 x) (+ (* (/ -2 x) (/ 0 x)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -2 x)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -2 x)) 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 (log (- (cos (/ -2 x)))) into (log (- (cos (/ -2 x)))) * [misc]taylor: Taking taylor expansion of (+ (log cos) (log x)) in sin * [misc]taylor: Taking taylor expansion of (log cos) in sin * [misc]taylor: Taking taylor expansion of cos in sin * [misc]backup-simplify: Simplify cos into cos * [misc]backup-simplify: Simplify (log cos) into (log cos) * [misc]taylor: Taking taylor expansion of (log x) in sin * [misc]taylor: Taking taylor expansion of x in sin * [misc]backup-simplify: Simplify x into x * [misc]backup-simplify: Simplify (log x) into (log x) * [misc]backup-simplify: Simplify (+ (* (- -1) (log sin)) (log (- (cos (/ -2 x))))) into (+ (log sin) (log (- (cos (/ -2 x))))) * [misc]backup-simplify: Simplify (+ (log cos) (log x)) into (+ (log cos) (log x)) * [misc]backup-simplify: Simplify (+ (+ (log sin) (log (- (cos (/ -2 x))))) (+ (log cos) (log x))) into (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x)))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x))))) into (* 1/3 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x)))))) into (exp (* 1/3 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x)))))) into (exp (* 1/3 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 (* (cos (/ -2 x)) (* cos sin))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* -1 (* (cos (/ -2 x)) (* cos sin))))) into (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) (+ (* (/ (pow 0 1) 1)))) 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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* (cos (/ -2 x)) sin)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))))) (+ (* (/ (pow 0 1) 1)))) 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 (- (cos (/ -2 x))) into (- (cos (/ -2 x))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (cos (/ -2 x))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow cos 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log sin) (+ (log cos) (+ (log (- (cos (/ -2 x)))) (log x)))))) (+ (* (/ (pow 0 1) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 (* (cos (/ -2 x)) (* cos sin))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 (* (cos (/ -2 x)) (* cos sin))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log (* -1 (* (cos (/ -2 x)) (* cos sin))))) into (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (* -1 (* (cos (/ -2 x)) (* cos sin)))) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* (cos (/ -2 x)) sin)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* (cos (/ -2 x)) sin)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (- (* (cos (/ -2 x)) sin))) (+ (log cos) (log x))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (exp (* 1/3 (+ (log (/ 1 (- sin))) (+ (log (/ 1 (- cos))) (+ (log (- (cos (/ -2 (/ 1 (- x)))))) (log (/ 1 (- x)))))))) into (exp (* 1/3 (+ (log (/ -1 sin)) (+ (log (/ -1 x)) (+ (log (/ -1 cos)) (log (- (cos (* 2 x))))))))) * * * * [misc]progress: [ 4 / 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: simplifying candidates * * * * [misc]progress: [ 1 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 170 * * [misc]simplify: Extracting #7: cost 9 inf + 213 * * [misc]simplify: Extracting #8: cost 7 inf + 357 * * [misc]simplify: Extracting #9: cost 2 inf + 1353 * * [misc]simplify: Extracting #10: cost 0 inf + 2121 * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (cos (* 2 x)) (* x (* sin cos)))) (cbrt (/ (cos (* 2 x)) (* x (* sin cos)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (cbrt (* (cbrt (/ (cos (* 2 x)) (* x (* sin cos)))) (cbrt (/ (cos (* 2 x)) (* x (* sin cos)))))) (cbrt (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))))) (* (* x cos) sin))) * * * * [misc]progress: [ 6 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 212 * * [misc]simplify: Extracting #6: cost 8 inf + 213 * * [misc]simplify: Extracting #7: cost 3 inf + 825 * * [misc]simplify: Extracting #8: cost 1 inf + 1313 * * [misc]simplify: Extracting #9: cost 0 inf + 1657 * [exit]simplify: Simplified to (cbrt (sqrt (/ (/ (cos (* 2 x)) (* x cos)) sin))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (cbrt (sqrt (/ (/ (cos (* 2 x)) (* x cos)) sin))) (cbrt (sqrt (/ (cos (* 2 x)) (* (* x cos) sin)))))) (* (* x cos) sin))) * * * * [misc]progress: [ 7 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* x cos))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 44 * * [misc]simplify: Extracting #4: cost 14 inf + 44 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 14 inf + 45 * * [misc]simplify: Extracting #7: cost 12 inf + 189 * * [misc]simplify: Extracting #8: cost 2 inf + 2534 * * [misc]simplify: Extracting #9: cost 0 inf + 3220 * [exit]simplify: Simplified to (cbrt (/ (/ (cbrt (cos (* 2 x))) x) (/ cos (cbrt (cos (* 2 x)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (cbrt (/ (/ (cbrt (cos (* 2 x))) x) (/ cos (cbrt (cos (* 2 x)))))) (cbrt (/ (cbrt (cos (* 2 x))) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 8 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (cos (* 2 x))) (* x cos))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 44 * * [misc]simplify: Extracting #5: cost 7 inf + 44 * * [misc]simplify: Extracting #6: cost 6 inf + 45 * * [misc]simplify: Extracting #7: cost 0 inf + 1039 * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos (* 2 x))) (* cos x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (cbrt (/ (sqrt (cos (* 2 x))) (* cos x))) (cbrt (/ (sqrt (cos (* 2 x))) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 9 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* x cos))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 333 * [exit]simplify: Simplified to (cbrt (/ 1 (* cos x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (cbrt (/ 1 (* cos x))) (cbrt (/ (cos (* 2 x)) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 10 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* 1 (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))))) (* (* x cos) sin))) * * * * [misc]progress: [ 11 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (* 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 328 * [exit]simplify: Simplified to (cbrt (cos (* 2 x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (cbrt (cos (* 2 x))) (cbrt (/ 1 (* (* x cos) sin))))) (* (* x cos) sin))) * * * * [misc]progress: [ 12 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (* 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 328 * [exit]simplify: Simplified to (cbrt (cos (* 2 x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (/ (cbrt (cos (* 2 x))) (cbrt (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 13 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 170 * * [misc]simplify: Extracting #7: cost 9 inf + 213 * * [misc]simplify: Extracting #8: cost 7 inf + 357 * * [misc]simplify: Extracting #9: cost 2 inf + 1353 * * [misc]simplify: Extracting #10: cost 0 inf + 2121 * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (cos (* 2 x)) (* x (* sin cos)))) (cbrt (/ (cos (* 2 x)) (* x (* sin cos)))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (* (cbrt (* (cbrt (/ (cos (* 2 x)) (* x (* sin cos)))) (cbrt (/ (cos (* 2 x)) (* x (* sin cos)))))) (cbrt (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 22 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 212 * * [misc]simplify: Extracting #6: cost 8 inf + 213 * * [misc]simplify: Extracting #7: cost 3 inf + 825 * * [misc]simplify: Extracting #8: cost 1 inf + 1313 * * [misc]simplify: Extracting #9: cost 0 inf + 1657 * [exit]simplify: Simplified to (cbrt (sqrt (/ (/ (cos (* 2 x)) (* x cos)) sin))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (* (cbrt (sqrt (/ (/ (cos (* 2 x)) (* x cos)) sin))) (cbrt (sqrt (/ (cos (* 2 x)) (* (* x cos) sin)))))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 23 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* x cos))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 44 * * [misc]simplify: Extracting #4: cost 14 inf + 44 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 14 inf + 45 * * [misc]simplify: Extracting #7: cost 12 inf + 189 * * [misc]simplify: Extracting #8: cost 2 inf + 2534 * * [misc]simplify: Extracting #9: cost 0 inf + 3220 * [exit]simplify: Simplified to (cbrt (/ (/ (cbrt (cos (* 2 x))) x) (/ cos (cbrt (cos (* 2 x)))))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (* (cbrt (/ (/ (cbrt (cos (* 2 x))) x) (/ cos (cbrt (cos (* 2 x)))))) (cbrt (/ (cbrt (cos (* 2 x))) sin)))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 24 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (cos (* 2 x))) (* x cos))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 44 * * [misc]simplify: Extracting #5: cost 7 inf + 44 * * [misc]simplify: Extracting #6: cost 6 inf + 45 * * [misc]simplify: Extracting #7: cost 0 inf + 1039 * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos (* 2 x))) (* cos x))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (* (cbrt (/ (sqrt (cos (* 2 x))) (* cos x))) (cbrt (/ (sqrt (cos (* 2 x))) sin)))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 25 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* x cos))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 333 * [exit]simplify: Simplified to (cbrt (/ 1 (* cos x))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (* (cbrt (/ 1 (* cos x))) (cbrt (/ (cos (* 2 x)) sin)))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 26 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (* 1 (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 27 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (* 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 328 * [exit]simplify: Simplified to (cbrt (cos (* 2 x))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (* (cbrt (cos (* 2 x))) (cbrt (/ 1 (* (* x cos) sin))))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 28 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (* 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 328 * [exit]simplify: Simplified to (cbrt (cos (* 2 x))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (/ (cbrt (cos (* 2 x))) (cbrt (* (* x cos) sin)))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 29 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 8 inf + 0 * * [misc]simplify: Extracting #5: cost 15 inf + 1 * * [misc]simplify: Extracting #6: cost 11 inf + 170 * * [misc]simplify: Extracting #7: cost 9 inf + 213 * * [misc]simplify: Extracting #8: cost 7 inf + 357 * * [misc]simplify: Extracting #9: cost 2 inf + 1353 * * [misc]simplify: Extracting #10: cost 0 inf + 2121 * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (cos (* 2 x)) (* x (* sin cos)))) (cbrt (/ (cos (* 2 x)) (* x (* sin cos)))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x cos sin) (/ (* (* (* (cbrt (* (cbrt (/ (cos (* 2 x)) (* x (* sin cos)))) (cbrt (/ (cos (* 2 x)) (* x (* sin cos)))))) (cbrt (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 38 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 1 * * [misc]simplify: Extracting #5: cost 9 inf + 212 * * [misc]simplify: Extracting #6: cost 8 inf + 213 * * [misc]simplify: Extracting #7: cost 3 inf + 825 * * [misc]simplify: Extracting #8: cost 1 inf + 1313 * * [misc]simplify: Extracting #9: cost 0 inf + 1657 * [exit]simplify: Simplified to (cbrt (sqrt (/ (/ (cos (* 2 x)) (* x cos)) sin))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x cos sin) (/ (* (* (* (cbrt (sqrt (/ (/ (cos (* 2 x)) (* x cos)) sin))) (cbrt (sqrt (/ (cos (* 2 x)) (* (* x cos) sin))))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 39 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (cos (* 2 x))) (cbrt (cos (* 2 x)))) (* x cos))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 15 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 44 * * [misc]simplify: Extracting #4: cost 14 inf + 44 * * [misc]simplify: Extracting #5: cost 15 inf + 44 * * [misc]simplify: Extracting #6: cost 14 inf + 45 * * [misc]simplify: Extracting #7: cost 12 inf + 189 * * [misc]simplify: Extracting #8: cost 2 inf + 2534 * * [misc]simplify: Extracting #9: cost 0 inf + 3220 * [exit]simplify: Simplified to (cbrt (/ (/ (cbrt (cos (* 2 x))) x) (/ cos (cbrt (cos (* 2 x)))))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x cos sin) (/ (* (* (* (cbrt (/ (/ (cbrt (cos (* 2 x))) x) (/ cos (cbrt (cos (* 2 x)))))) (cbrt (/ (cbrt (cos (* 2 x))) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 40 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (cos (* 2 x))) (* x cos))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 1 * * [misc]simplify: Extracting #4: cost 6 inf + 44 * * [misc]simplify: Extracting #5: cost 7 inf + 44 * * [misc]simplify: Extracting #6: cost 6 inf + 45 * * [misc]simplify: Extracting #7: cost 0 inf + 1039 * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos (* 2 x))) (* cos x))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x cos sin) (/ (* (* (* (cbrt (/ (sqrt (cos (* 2 x))) (* cos x))) (cbrt (/ (sqrt (cos (* 2 x))) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 41 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* x cos))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 333 * [exit]simplify: Simplified to (cbrt (/ 1 (* cos x))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x cos sin) (/ (* (* (* (cbrt (/ 1 (* cos x))) (cbrt (/ (cos (* 2 x)) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 42 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x cos sin) (/ (* (* (* 1 (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 43 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (* 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 328 * [exit]simplify: Simplified to (cbrt (cos (* 2 x))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x cos sin) (/ (* (* (* (cbrt (cos (* 2 x))) (cbrt (/ 1 (* (* x cos) sin)))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 44 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (* 2 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 328 * [exit]simplify: Simplified to (cbrt (cos (* 2 x))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (x cos sin) (/ (* (* (/ (cbrt (cos (* 2 x))) (cbrt (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 45 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 69 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) (* 2/3 (* (pow x 2) (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (455 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 32 inf + 0 * * [misc]simplify: Extracting #2: cost 138 inf + 0 * * [misc]simplify: Extracting #3: cost 207 inf + 1562 * * [misc]simplify: Extracting #4: cost 101 inf + 35745 * * [misc]simplify: Extracting #5: cost 6 inf + 69127 * * [misc]simplify: Extracting #6: cost 0 inf + 68060 * [exit]simplify: Simplified to (- (pow (* (* sin x) cos) -1/3) (* (* (pow (* (* sin x) cos) -1/3) (* x x)) 2/3)) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (- (pow (* (* sin x) cos) -1/3) (* (* (pow (* (* sin x) cos) -1/3) (* x x)) 2/3))) (* (* x cos) sin))) * * * * [misc]progress: [ 59 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log (/ 1 x)) (+ (log (cos (* 2 x))) (+ (log (/ 1 cos)) (log (/ 1 sin))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (343 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 28 inf + 0 * * [misc]simplify: Extracting #2: cost 164 inf + 1 * * [misc]simplify: Extracting #3: cost 252 inf + 542 * * [misc]simplify: Extracting #4: cost 227 inf + 4313 * * [misc]simplify: Extracting #5: cost 146 inf + 26919 * * [misc]simplify: Extracting #6: cost 25 inf + 73647 * * [misc]simplify: Extracting #7: cost 1 inf + 82789 * * [misc]simplify: Extracting #8: cost 0 inf + 83064 * [exit]simplify: Simplified to (exp (* 1/3 (- (- (- (log (cos (* x 2))) (log sin)) (log x)) (log cos)))) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (exp (* 1/3 (- (- (- (log (cos (* x 2))) (log sin)) (log x)) (log cos))))) (* (* x cos) sin))) * * * * [misc]progress: [ 60 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log (/ -1 sin)) (+ (log (/ -1 x)) (+ (log (/ -1 cos)) (log (- (cos (* 2 x))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 200 inf + 72 * * [misc]simplify: Extracting #3: cost 410 inf + 72 * * [misc]simplify: Extracting #4: cost 367 inf + 8553 * * [misc]simplify: Extracting #5: cost 259 inf + 38811 * * [misc]simplify: Extracting #6: cost 152 inf + 85206 * * [misc]simplify: Extracting #7: cost 12 inf + 162716 * * [misc]simplify: Extracting #8: cost 0 inf + 169059 * [exit]simplify: Simplified to (cbrt (* (/ -1 sin) (exp (+ (log (- (cos (* x 2)))) (+ (log (/ -1 x)) (log (/ -1 cos))))))) * [misc]simplify: Simplified (2 1 2) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (cbrt (* (/ -1 sin) (exp (+ (log (- (cos (* x 2)))) (+ (log (/ -1 x)) (log (/ -1 cos)))))))) (* (* x cos) sin))) * * * * [misc]progress: [ 61 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) (* 2/3 (* (pow x 2) (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (455 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 32 inf + 0 * * [misc]simplify: Extracting #2: cost 138 inf + 0 * * [misc]simplify: Extracting #3: cost 207 inf + 1562 * * [misc]simplify: Extracting #4: cost 101 inf + 35745 * * [misc]simplify: Extracting #5: cost 6 inf + 69127 * * [misc]simplify: Extracting #6: cost 0 inf + 68060 * [exit]simplify: Simplified to (- (pow (* (* sin x) cos) -1/3) (* (* (pow (* (* sin x) cos) -1/3) (* x x)) 2/3)) * [misc]simplify: Simplified (2 1 1 2) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (- (pow (* (* sin x) cos) -1/3) (* (* (pow (* (* sin x) cos) -1/3) (* x x)) 2/3))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 62 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log (/ 1 x)) (+ (log (cos (* 2 x))) (+ (log (/ 1 cos)) (log (/ 1 sin))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (343 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 28 inf + 0 * * [misc]simplify: Extracting #2: cost 164 inf + 1 * * [misc]simplify: Extracting #3: cost 252 inf + 542 * * [misc]simplify: Extracting #4: cost 227 inf + 4313 * * [misc]simplify: Extracting #5: cost 146 inf + 26919 * * [misc]simplify: Extracting #6: cost 25 inf + 73647 * * [misc]simplify: Extracting #7: cost 1 inf + 82789 * * [misc]simplify: Extracting #8: cost 0 inf + 83064 * [exit]simplify: Simplified to (exp (* 1/3 (- (- (- (log (cos (* x 2))) (log sin)) (log x)) (log cos)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (exp (* 1/3 (- (- (- (log (cos (* x 2))) (log sin)) (log x)) (log cos))))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 63 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log (/ -1 sin)) (+ (log (/ -1 x)) (+ (log (/ -1 cos)) (log (- (cos (* 2 x))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 200 inf + 72 * * [misc]simplify: Extracting #3: cost 410 inf + 72 * * [misc]simplify: Extracting #4: cost 367 inf + 8553 * * [misc]simplify: Extracting #5: cost 259 inf + 38811 * * [misc]simplify: Extracting #6: cost 152 inf + 85206 * * [misc]simplify: Extracting #7: cost 12 inf + 162716 * * [misc]simplify: Extracting #8: cost 0 inf + 169059 * [exit]simplify: Simplified to (cbrt (* (/ -1 sin) (exp (+ (log (- (cos (* x 2)))) (+ (log (/ -1 x)) (log (/ -1 cos))))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (* (/ -1 sin) (exp (+ (log (- (cos (* x 2)))) (+ (log (/ -1 x)) (log (/ -1 cos)))))))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 64 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* -1/3 (+ (log sin) (+ (log cos) (log x))))) (* 2/3 (* (pow x 2) (exp (* -1/3 (+ (log sin) (+ (log cos) (log x)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (455 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 32 inf + 0 * * [misc]simplify: Extracting #2: cost 138 inf + 0 * * [misc]simplify: Extracting #3: cost 207 inf + 1562 * * [misc]simplify: Extracting #4: cost 101 inf + 35745 * * [misc]simplify: Extracting #5: cost 6 inf + 69127 * * [misc]simplify: Extracting #6: cost 0 inf + 68060 * [exit]simplify: Simplified to (- (pow (* (* sin x) cos) -1/3) (* (* (pow (* (* sin x) cos) -1/3) (* x x)) 2/3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (/ (* (* (- (pow (* (* sin x) cos) -1/3) (* (* (pow (* (* sin x) cos) -1/3) (* x x)) 2/3)) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 65 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log (/ 1 x)) (+ (log (cos (* 2 x))) (+ (log (/ 1 cos)) (log (/ 1 sin))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (343 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 28 inf + 0 * * [misc]simplify: Extracting #2: cost 164 inf + 1 * * [misc]simplify: Extracting #3: cost 252 inf + 542 * * [misc]simplify: Extracting #4: cost 227 inf + 4313 * * [misc]simplify: Extracting #5: cost 146 inf + 26919 * * [misc]simplify: Extracting #6: cost 25 inf + 73647 * * [misc]simplify: Extracting #7: cost 1 inf + 82789 * * [misc]simplify: Extracting #8: cost 0 inf + 83064 * [exit]simplify: Simplified to (exp (* 1/3 (- (- (- (log (cos (* x 2))) (log sin)) (log x)) (log cos)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (/ (* (* (exp (* 1/3 (- (- (- (log (cos (* x 2))) (log sin)) (log x)) (log cos)))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 66 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (+ (log (/ -1 sin)) (+ (log (/ -1 x)) (+ (log (/ -1 cos)) (log (- (cos (* 2 x))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 24 inf + 0 * * [misc]simplify: Extracting #2: cost 200 inf + 72 * * [misc]simplify: Extracting #3: cost 410 inf + 72 * * [misc]simplify: Extracting #4: cost 367 inf + 8553 * * [misc]simplify: Extracting #5: cost 259 inf + 38811 * * [misc]simplify: Extracting #6: cost 152 inf + 85206 * * [misc]simplify: Extracting #7: cost 12 inf + 162716 * * [misc]simplify: Extracting #8: cost 0 inf + 169059 * [exit]simplify: Simplified to (cbrt (* (/ -1 sin) (exp (+ (log (- (cos (* x 2)))) (+ (log (/ -1 x)) (log (/ -1 cos))))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (x cos sin) (/ (* (* (cbrt (* (/ -1 sin) (exp (+ (log (- (cos (* x 2)))) (+ (log (/ -1 x)) (log (/ -1 cos))))))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* x cos) sin))) * * * * [misc]progress: [ 67 / 69 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) 0)) * * * * [misc]progress: [ 68 / 69 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* cos sin) x))) * * * * [misc]progress: [ 69 / 69 ] 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) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 45 * * [misc]simplify: Extracting #3: cost 0 inf + 212 * [exit]simplify: Simplified to (* (* cos sin) x) * [misc]simplify: Simplified (2 2) to (λ (x cos sin) (/ (* (* (cbrt (/ (cos (* 2 x)) (* (* x cos) sin))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (cbrt (/ (cos (* 2 x)) (* (* x cos) sin)))) (* (* cos sin) x))) * * * [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: #