* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Setting MPFR precision to 1344 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* r (/ (sin b) (cos (+ a b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (/ (* r (sin b)) (cos (+ b a))) * * [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 / 3 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (cos (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ a b)) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]taylor: Taking taylor expansion of (cos (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]taylor: Taking taylor expansion of (cos (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 1) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos b) 0) into (cos b) * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (sin b) 1) (* 0 0)) into (sin b) * [misc]backup-simplify: Simplify (- (sin b)) into (- (sin b)) * [misc]backup-simplify: Simplify (+ 0 (- (sin b))) into (- (sin b)) * [misc]taylor: Taking taylor expansion of (- (sin b)) in b * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (cos b) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos b))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (cos b))) 0) into (- (* 1/2 (cos b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (cos b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (cos b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* b a)) (+ (* -1/2 (pow (* 1 a) 2)) 1)) into (- 1 (+ (* 1/2 (pow a 2)) (* a b))) * [misc]approximate: Taking taylor expansion of (cos (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 a) (/ 1 b))) into (cos (+ (/ 1 a) (/ 1 b))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 a) (/ 1 b))) into (cos (+ (/ 1 a) (/ 1 b))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 a) (/ 1 b))) into (cos (+ (/ 1 a) (/ 1 b))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 a) (/ 1 b))) into (cos (+ (/ 1 a) (/ 1 b))) * [misc]backup-simplify: Simplify (cos (+ (/ 1 a) (/ 1 b))) into (cos (+ (/ 1 a) (/ 1 b))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (+ (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) into (cos (+ a b)) * [misc]approximate: Taking taylor expansion of (cos (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 (- a)) (/ 1 (- b)))) into (cos (- (+ (/ 1 a) (/ 1 b)))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 (- a)) (/ 1 (- b)))) into (cos (- (+ (/ 1 a) (/ 1 b)))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 (- a)) (/ 1 (- b)))) into (cos (- (+ (/ 1 a) (/ 1 b)))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 a) (/ 1 b)))) into (cos (- (+ (/ 1 a) (/ 1 b)))) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 a) (/ 1 b)))) into (cos (- (+ (/ 1 a) (/ 1 b)))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) into (cos (+ a b)) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (sin b) (cos (+ a b))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin b) (cos (+ a b))) in a * [misc]taylor: Taking taylor expansion of (sin b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]taylor: Taking taylor expansion of (cos (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 1) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos b) 0) into (cos b) * [misc]backup-simplify: Simplify (/ (sin b) (cos b)) into (/ (sin b) (cos b)) * [misc]taylor: Taking taylor expansion of (/ (sin b) (cos (+ a b))) in b * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (+ a b)) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (/ 1 (cos a)) into (/ 1 (cos a)) * [misc]taylor: Taking taylor expansion of (/ (sin b) (cos (+ a b))) in b * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (+ a b)) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (/ 1 (cos a)) into (/ 1 (cos a)) * [misc]taylor: Taking taylor expansion of (/ 1 (cos a)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (sin a) 1) (* 0 0)) into (sin a) * [misc]backup-simplify: Simplify (- (sin a)) into (- (sin a)) * [misc]backup-simplify: Simplify (+ 0 (- (sin a))) into (- (sin a)) * [misc]backup-simplify: Simplify (- (/ 0 (cos a)) (+ (* (/ 1 (cos a)) (/ (- (sin a)) (cos a))))) into (/ (sin a) (pow (cos a) 2)) * [misc]taylor: Taking taylor expansion of (/ (sin a) (pow (cos a) 2)) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (cos a) 2) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (cos a) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos a))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (cos a))) 0) into (- (* 1/2 (cos a))) * [misc]backup-simplify: Simplify (- (/ (- 1/6) (cos a)) (+ (* (/ 1 (cos a)) (/ (- (* 1/2 (cos a))) (cos a))) (* (/ (sin a) (pow (cos a) 2)) (/ (- (sin a)) (cos a))))) into (+ (* 1/3 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (cos a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (cos a)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ (pow (sin a) 2) (pow (cos a) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (sin a) 2) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]taylor: Taking taylor expansion of (pow (cos a) 3) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* a (pow b 2))) (+ (* 1/3 (pow (* 1 b) 3)) (* 1 (* 1 b)))) into (+ b (+ (* 1/3 (pow b 3)) (* a (pow b 2)))) * [misc]approximate: Taking taylor expansion of (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 a) (/ 1 b))) into (cos (+ (/ 1 a) (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) into (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 a) (/ 1 b))) into (cos (+ (/ 1 a) (/ 1 b))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) into (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 a) (/ 1 b))) into (cos (+ (/ 1 a) (/ 1 b))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) into (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 a) (/ 1 b))) into (cos (+ (/ 1 a) (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) into (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) into (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 a) (/ 1 b)))) (+ (* (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) (/ 0 (cos (+ (/ 1 a) (/ 1 b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]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 (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 a) (/ 1 b)))) (+ (* (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) (/ 0 (cos (+ (/ 1 a) (/ 1 b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 a) (/ 1 b)))) (+ (* (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) (/ 0 (cos (+ (/ 1 a) (/ 1 b))))) (* 0 (/ 0 (cos (+ (/ 1 a) (/ 1 b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 a) (/ 1 b)))) (+ (* (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) (/ 0 (cos (+ (/ 1 a) (/ 1 b))))) (* 0 (/ 0 (cos (+ (/ 1 a) (/ 1 b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 a) (/ 1 b)))) (+ (* (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) (/ 0 (cos (+ (/ 1 a) (/ 1 b))))) (* 0 (/ 0 (cos (+ (/ 1 a) (/ 1 b))))) (* 0 (/ 0 (cos (+ (/ 1 a) (/ 1 b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ 1 (/ 1 b))) (cos (+ (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) into (/ (sin b) (cos (+ a b))) * [misc]approximate: Taking taylor expansion of (/ (sin (/ 1 (- b))) (cos (+ (/ 1 (- a)) (/ 1 (- b))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- b))) (cos (+ (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 (- a)) (/ 1 (- b)))) into (cos (- (+ (/ 1 a) (/ 1 b)))) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) into (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- b))) (cos (+ (/ 1 (- a)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 (- a)) (/ 1 (- b)))) into (cos (- (+ (/ 1 a) (/ 1 b)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) into (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- b))) (cos (+ (/ 1 (- a)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 (- a)) (/ 1 (- b)))) into (cos (- (+ (/ 1 a) (/ 1 b)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) into (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (sin (/ -1 b)) in a * [misc]taylor: Taking taylor expansion of (/ -1 b) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1 b) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 a) (/ 1 b)))) into (cos (- (+ (/ 1 a) (/ 1 b)))) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) into (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) into (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 a) (/ 1 b))))) (+ (* (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) (/ 0 (cos (- (+ (/ 1 a) (/ 1 b)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]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 (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 a) (/ 1 b))))) (+ (* (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) (/ 0 (cos (- (+ (/ 1 a) (/ 1 b)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 a) (/ 1 b))))) (+ (* (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) (/ 0 (cos (- (+ (/ 1 a) (/ 1 b)))))) (* 0 (/ 0 (cos (- (+ (/ 1 a) (/ 1 b)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 a) (/ 1 b))))) (+ (* (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) (/ 0 (cos (- (+ (/ 1 a) (/ 1 b)))))) (* 0 (/ 0 (cos (- (+ (/ 1 a) (/ 1 b)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 a) (/ 1 b))))) (+ (* (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) (/ 0 (cos (- (+ (/ 1 a) (/ 1 b)))))) (* 0 (/ 0 (cos (- (+ (/ 1 a) (/ 1 b)))))) (* 0 (/ 0 (cos (- (+ (/ 1 a) (/ 1 b)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ -1 (/ 1 (- b)))) (cos (- (+ (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))))) into (/ (sin b) (cos (+ a b))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* r (/ (sin b) (cos (+ a b)))) in (r b a) around 0 * [misc]taylor: Taking taylor expansion of (* r (/ (sin b) (cos (+ a b)))) in a * [misc]taylor: Taking taylor expansion of r in a * [misc]backup-simplify: Simplify r into r * [misc]taylor: Taking taylor expansion of (/ (sin b) (cos (+ a b))) in a * [misc]taylor: Taking taylor expansion of (sin b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]taylor: Taking taylor expansion of (cos (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 1) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos b) 0) into (cos b) * [misc]backup-simplify: Simplify (/ (sin b) (cos b)) into (/ (sin b) (cos b)) * [misc]taylor: Taking taylor expansion of (* r (/ (sin b) (cos (+ a b)))) in b * [misc]taylor: Taking taylor expansion of r in b * [misc]backup-simplify: Simplify r into r * [misc]taylor: Taking taylor expansion of (/ (sin b) (cos (+ a b))) in b * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (+ a b)) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (/ 1 (cos a)) into (/ 1 (cos a)) * [misc]taylor: Taking taylor expansion of (* r (/ (sin b) (cos (+ a b)))) in r * [misc]taylor: Taking taylor expansion of r in r * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (sin b) (cos (+ a b))) in r * [misc]taylor: Taking taylor expansion of (sin b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]taylor: Taking taylor expansion of (cos (+ a b)) in r * [misc]taylor: Taking taylor expansion of (+ a b) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ a b) into (+ a b) * [misc]backup-simplify: Simplify (cos (+ a b)) into (cos (+ a b)) * [misc]backup-simplify: Simplify (sin (+ a b)) into (sin (+ a b)) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* (cos (+ a b)) 1) into (cos (+ a b)) * [misc]backup-simplify: Simplify (* (sin (+ a b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ a b)) 0) into (cos (+ a b)) * [misc]backup-simplify: Simplify (/ (sin b) (cos (+ a b))) into (/ (sin b) (cos (+ a b))) * [misc]taylor: Taking taylor expansion of (* r (/ (sin b) (cos (+ a b)))) in r * [misc]taylor: Taking taylor expansion of r in r * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (sin b) (cos (+ a b))) in r * [misc]taylor: Taking taylor expansion of (sin b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]taylor: Taking taylor expansion of (cos (+ a b)) in r * [misc]taylor: Taking taylor expansion of (+ a b) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ a b) into (+ a b) * [misc]backup-simplify: Simplify (cos (+ a b)) into (cos (+ a b)) * [misc]backup-simplify: Simplify (sin (+ a b)) into (sin (+ a b)) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* (cos (+ a b)) 1) into (cos (+ a b)) * [misc]backup-simplify: Simplify (* (sin (+ a b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ a b)) 0) into (cos (+ a b)) * [misc]backup-simplify: Simplify (/ (sin b) (cos (+ a b))) into (/ (sin b) (cos (+ a b))) * [misc]backup-simplify: Simplify (* 0 (/ (sin b) (cos (+ a b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]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 b) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ a b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ a b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ a b))) (+ (* (/ (sin b) (cos (+ a b))) (/ 0 (cos (+ a b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (/ (sin b) (cos (+ a b))))) into (/ (sin b) (cos (+ a b))) * [misc]taylor: Taking taylor expansion of (/ (sin b) (cos (+ a b))) in b * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (+ a b)) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (/ 1 (cos a)) into (/ 1 (cos a)) * [misc]taylor: Taking taylor expansion of (/ 1 (cos a)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [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]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ a b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ a b)) 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 (cos (+ a b))) (+ (* (/ (sin b) (cos (+ a b))) (/ 0 (cos (+ a b)))) (* 0 (/ 0 (cos (+ a b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin b) (cos (+ a b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (sin a) 1) (* 0 0)) into (sin a) * [misc]backup-simplify: Simplify (- (sin a)) into (- (sin a)) * [misc]backup-simplify: Simplify (+ 0 (- (sin a))) into (- (sin a)) * [misc]backup-simplify: Simplify (- (/ 0 (cos a)) (+ (* (/ 1 (cos a)) (/ (- (sin a)) (cos a))))) into (/ (sin a) (pow (cos a) 2)) * [misc]taylor: Taking taylor expansion of (/ (sin a) (pow (cos a) 2)) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (cos a) 2) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]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)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (* b r))) into (* r b) * [misc]approximate: Taking taylor expansion of (* (/ 1 r) (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b))))) in (r b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 r) (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 r) in a * [misc]taylor: Taking taylor expansion of r in a * [misc]backup-simplify: Simplify r into r * [misc]backup-simplify: Simplify (/ 1 r) into (/ 1 r) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 a) (/ 1 b))) into (cos (+ (/ 1 a) (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) into (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 r) (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 r) in b * [misc]taylor: Taking taylor expansion of r in b * [misc]backup-simplify: Simplify r into r * [misc]backup-simplify: Simplify (/ 1 r) into (/ 1 r) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 a) (/ 1 b))) into (cos (+ (/ 1 a) (/ 1 b))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) into (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 r) (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b))))) in r * [misc]taylor: Taking taylor expansion of (/ 1 r) in r * [misc]taylor: Taking taylor expansion of r in r * [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 (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) in r * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in r * [misc]taylor: Taking taylor expansion of (/ 1 b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 a) (/ 1 b))) in r * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in r * [misc]taylor: Taking taylor expansion of (/ 1 a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 a) (/ 1 b)) into (+ (/ 1 a) (/ 1 b)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 a) (/ 1 b))) into (cos (+ (/ 1 a) (/ 1 b))) * [misc]backup-simplify: Simplify (sin (+ (/ 1 a) (/ 1 b))) into (sin (+ (/ 1 a) (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (+ (/ 1 a) (/ 1 b))) 1) into (cos (+ (/ 1 a) (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (+ (/ 1 a) (/ 1 b))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (/ 1 a) (/ 1 b))) 0) into (cos (+ (/ 1 a) (/ 1 b))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) into (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 r) (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b))))) in r * [misc]taylor: Taking taylor expansion of (/ 1 r) in r * [misc]taylor: Taking taylor expansion of r in r * [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 (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) in r * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in r * [misc]taylor: Taking taylor expansion of (/ 1 b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 a) (/ 1 b))) in r * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in r * [misc]taylor: Taking taylor expansion of (/ 1 a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 a) (/ 1 b)) into (+ (/ 1 a) (/ 1 b)) * [misc]backup-simplify: Simplify (cos (+ (/ 1 a) (/ 1 b))) into (cos (+ (/ 1 a) (/ 1 b))) * [misc]backup-simplify: Simplify (sin (+ (/ 1 a) (/ 1 b))) into (sin (+ (/ 1 a) (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (+ (/ 1 a) (/ 1 b))) 1) into (cos (+ (/ 1 a) (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (+ (/ 1 a) (/ 1 b))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (/ 1 a) (/ 1 b))) 0) into (cos (+ (/ 1 a) (/ 1 b))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) into (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) * [misc]backup-simplify: Simplify (* 1 (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b))))) into (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 a) (/ 1 b))) into (cos (+ (/ 1 a) (/ 1 b))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) into (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 a) (/ 1 b))) into (cos (+ (/ 1 a) (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) into (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) into (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (/ 1 a) (/ 1 b))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (/ 1 a) (/ 1 b))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 a) (/ 1 b)))) (+ (* (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) (/ 0 (cos (+ (/ 1 a) (/ 1 b))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 a) (/ 1 b)))) (+ (* (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) (/ 0 (cos (+ (/ 1 a) (/ 1 b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]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 (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 a) (/ 1 b)))) (+ (* (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) (/ 0 (cos (+ (/ 1 a) (/ 1 b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (+ (/ 1 a) (/ 1 b))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (+ (/ 1 a) (/ 1 b))) 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 (cos (+ (/ 1 a) (/ 1 b)))) (+ (* (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) (/ 0 (cos (+ (/ 1 a) (/ 1 b))))) (* 0 (/ 0 (cos (+ (/ 1 a) (/ 1 b))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (+ (/ 1 a) (/ 1 b)))) (+ (* (/ (sin (/ 1 b)) (cos (+ (/ 1 a) (/ 1 b)))) (/ 0 (cos (+ (/ 1 a) (/ 1 b))))) (* 0 (/ 0 (cos (+ (/ 1 a) (/ 1 b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (sin (/ 1 (/ 1 b))) (cos (+ (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) (* 1 (* 1 (/ 1 (/ 1 r))))) into (/ (* (sin b) r) (cos (+ a b))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- r)) (/ (sin (/ 1 (- b))) (cos (+ (/ 1 (- a)) (/ 1 (- b)))))) in (r b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- r)) (/ (sin (/ 1 (- b))) (cos (+ (/ 1 (- a)) (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- r)) in a * [misc]taylor: Taking taylor expansion of (- r) in a * [misc]taylor: Taking taylor expansion of r in a * [misc]backup-simplify: Simplify r into r * [misc]backup-simplify: Simplify (- r) into (- r) * [misc]backup-simplify: Simplify (- r) into (- r) * [misc]backup-simplify: Simplify (/ 1 (- r)) into (/ -1 r) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- b))) (cos (+ (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 (- a)) (/ 1 (- b)))) into (cos (- (+ (/ 1 a) (/ 1 b)))) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) into (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- r)) (/ (sin (/ 1 (- b))) (cos (+ (/ 1 (- a)) (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- r)) in b * [misc]taylor: Taking taylor expansion of (- r) in b * [misc]taylor: Taking taylor expansion of r in b * [misc]backup-simplify: Simplify r into r * [misc]backup-simplify: Simplify (- r) into (- r) * [misc]backup-simplify: Simplify (- r) into (- r) * [misc]backup-simplify: Simplify (/ 1 (- r)) into (/ -1 r) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- b))) (cos (+ (/ 1 (- a)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (cos (+ (/ 1 (- a)) (/ 1 (- b)))) into (cos (- (+ (/ 1 a) (/ 1 b)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) into (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- r)) (/ (sin (/ 1 (- b))) (cos (+ (/ 1 (- a)) (/ 1 (- b)))))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- r)) in r * [misc]taylor: Taking taylor expansion of (- r) in r * [misc]taylor: Taking taylor expansion of r in r * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (/ (sin (/ 1 (- b))) (cos (+ (/ 1 (- a)) (/ 1 (- b))))) in r * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in r * [misc]taylor: Taking taylor expansion of (- b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 (- a)) (/ 1 (- b)))) in r * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in r * [misc]taylor: Taking taylor expansion of (- a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in r * [misc]taylor: Taking taylor expansion of (- b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (/ -1 a) (/ -1 b)) into (- (+ (/ 1 a) (/ 1 b))) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 a) (/ 1 b)))) into (cos (- (+ (/ 1 a) (/ 1 b)))) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 a) (/ 1 b)))) into (sin (- (+ (/ 1 a) (/ 1 b)))) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (- (+ (/ 1 a) (/ 1 b)))) 1) into (cos (- (+ (/ 1 a) (/ 1 b)))) * [misc]backup-simplify: Simplify (* (sin (- (+ (/ 1 a) (/ 1 b)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (+ (/ 1 a) (/ 1 b)))) 0) into (cos (- (+ (/ 1 a) (/ 1 b)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) into (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- r)) (/ (sin (/ 1 (- b))) (cos (+ (/ 1 (- a)) (/ 1 (- b)))))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- r)) in r * [misc]taylor: Taking taylor expansion of (- r) in r * [misc]taylor: Taking taylor expansion of r in r * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (/ (sin (/ 1 (- b))) (cos (+ (/ 1 (- a)) (/ 1 (- b))))) in r * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in r * [misc]taylor: Taking taylor expansion of (- b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 (- a)) (/ 1 (- b)))) in r * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in r * [misc]taylor: Taking taylor expansion of (- a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in r * [misc]taylor: Taking taylor expansion of (- b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (/ -1 a) (/ -1 b)) into (- (+ (/ 1 a) (/ 1 b))) * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 a) (/ 1 b)))) into (cos (- (+ (/ 1 a) (/ 1 b)))) * [misc]backup-simplify: Simplify (sin (- (+ (/ 1 a) (/ 1 b)))) into (sin (- (+ (/ 1 a) (/ 1 b)))) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (- (+ (/ 1 a) (/ 1 b)))) 1) into (cos (- (+ (/ 1 a) (/ 1 b)))) * [misc]backup-simplify: Simplify (* (sin (- (+ (/ 1 a) (/ 1 b)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (+ (/ 1 a) (/ 1 b)))) 0) into (cos (- (+ (/ 1 a) (/ 1 b)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) into (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) * [misc]backup-simplify: Simplify (* -1 (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b)))))) into (* -1 (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b)))))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b)))))) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of (sin (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 a) (/ 1 b)))) into (cos (- (+ (/ 1 a) (/ 1 b)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) into (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) * [misc]backup-simplify: Simplify (* -1 (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b)))))) into (* -1 (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b)))))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b)))))) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (sin (/ -1 b)) in a * [misc]taylor: Taking taylor expansion of (/ -1 b) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1 b) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (cos (- (+ (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (cos (- (+ (/ 1 a) (/ 1 b)))) into (cos (- (+ (/ 1 a) (/ 1 b)))) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) into (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) * [misc]backup-simplify: Simplify (* -1 (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b)))))) into (* -1 (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b)))))) * [misc]backup-simplify: Simplify (* -1 (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b)))))) into (* -1 (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (+ (/ 1 a) (/ 1 b)))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (+ (/ 1 a) (/ 1 b)))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 a) (/ 1 b))))) (+ (* (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) (/ 0 (cos (- (+ (/ 1 a) (/ 1 b)))))))) 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 (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 a) (/ 1 b))))) (+ (* (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) (/ 0 (cos (- (+ (/ 1 a) (/ 1 b)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]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 (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 a) (/ 1 b))))) (+ (* (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) (/ 0 (cos (- (+ (/ 1 a) (/ 1 b)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (+ (/ 1 a) (/ 1 b)))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (+ (/ 1 a) (/ 1 b)))) 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 (cos (- (+ (/ 1 a) (/ 1 b))))) (+ (* (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) (/ 0 (cos (- (+ (/ 1 a) (/ 1 b)))))) (* 0 (/ 0 (cos (- (+ (/ 1 a) (/ 1 b)))))))) 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 (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (- (+ (/ 1 a) (/ 1 b))))) (+ (* (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b))))) (/ 0 (cos (- (+ (/ 1 a) (/ 1 b)))))) (* 0 (/ 0 (cos (- (+ (/ 1 a) (/ 1 b)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 b)) (cos (- (+ (/ 1 a) (/ 1 b)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (/ (sin (/ -1 (/ 1 (- b)))) (cos (- (+ (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))))) (* 1 (* 1 (/ 1 (/ 1 (- r)))))) into (/ (* (sin b) r) (cos (+ a b))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos a) (cos b)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos b) (cos a)) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))))) * * * * [misc]progress: [ 2 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sin b)) (log (cos (+ a b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (- (log (sin b)) (log (cos (+ a b)))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (exp (- (log (sin b)) (log (cos (+ a b))))))) * * * * [misc]progress: [ 11 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sin b) (sin b)) (sin b)) (* (* (cos (+ a b)) (cos (+ a b))) (cos (+ a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (pow (/ (sin b) (cos (+ b a))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (cbrt (pow (/ (sin b) (cos (+ b a))) 3)))) * * * * [misc]progress: [ 14 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin b)) (cbrt (sin b))) (* (cbrt (cos (+ a b))) (cbrt (cos (+ a b))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin b)) (cbrt (cos (+ b a)))) (/ (cbrt (sin b)) (cbrt (cos (+ b a))))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (* (* (/ (cbrt (sin b)) (cbrt (cos (+ b a)))) (/ (cbrt (sin b)) (cbrt (cos (+ b a))))) (/ (cbrt (sin b)) (cbrt (cos (+ a b))))))) * [enter]simplify: Simplifying (/ (cbrt (sin b)) (cbrt (cos (+ a b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin b)) (cbrt (cos (+ a b)))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (* (/ (* (cbrt (sin b)) (cbrt (sin b))) (* (cbrt (cos (+ a b))) (cbrt (cos (+ a b))))) (/ (cbrt (sin b)) (cbrt (cos (+ a b))))))) * * * * [misc]progress: [ 19 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin b)) (cbrt (sin b))) (sqrt (cos (+ a b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin b)) (cbrt (sin b))) (sqrt (cos (+ b a)))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (* (/ (* (cbrt (sin b)) (cbrt (sin b))) (sqrt (cos (+ b a)))) (/ (cbrt (sin b)) (sqrt (cos (+ a b))))))) * [enter]simplify: Simplifying (/ (cbrt (sin b)) (sqrt (cos (+ a b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin b)) (sqrt (cos (+ a b)))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (* (/ (* (cbrt (sin b)) (cbrt (sin b))) (sqrt (cos (+ a b)))) (/ (cbrt (sin b)) (sqrt (cos (+ a b))))))) * * * * [misc]progress: [ 20 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin b)) (cbrt (sin b))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (sin b)) (cbrt (sin b))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (* (* (cbrt (sin b)) (cbrt (sin b))) (/ (cbrt (sin b)) (cos (+ a b)))))) * [enter]simplify: Simplifying (/ (cbrt (sin b)) (cos (+ a b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin b)) (cos (+ a b))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (* (* (cbrt (sin b)) (cbrt (sin b))) (/ (cbrt (sin b)) (cos (+ a b)))))) * * * * [misc]progress: [ 21 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin b)) (* (cbrt (cos (+ a b))) (cbrt (cos (+ a b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin b)) (cbrt (cos (+ a b)))) (cbrt (cos (+ a b)))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (* (/ (/ (sqrt (sin b)) (cbrt (cos (+ a b)))) (cbrt (cos (+ a b)))) (/ (sqrt (sin b)) (cbrt (cos (+ a b))))))) * [enter]simplify: Simplifying (/ (sqrt (sin b)) (cbrt (cos (+ a b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin b)) (cbrt (cos (+ a b)))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (* (/ (sqrt (sin b)) (* (cbrt (cos (+ a b))) (cbrt (cos (+ a b))))) (/ (sqrt (sin b)) (cbrt (cos (+ a b))))))) * * * * [misc]progress: [ 22 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin b)) (sqrt (cos (+ a b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin b)) (sqrt (cos (+ a b)))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (* (/ (sqrt (sin b)) (sqrt (cos (+ a b)))) (/ (sqrt (sin b)) (sqrt (cos (+ a b))))))) * [enter]simplify: Simplifying (/ (sqrt (sin b)) (sqrt (cos (+ a b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin b)) (sqrt (cos (+ a b)))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (* (/ (sqrt (sin b)) (sqrt (cos (+ a b)))) (/ (sqrt (sin b)) (sqrt (cos (+ a b))))))) * * * * [misc]progress: [ 23 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin b)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (sin b)) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (* (sqrt (sin b)) (/ (sqrt (sin b)) (cos (+ a b)))))) * [enter]simplify: Simplifying (/ (sqrt (sin b)) (cos (+ a b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin b)) (cos (+ a b))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (* (sqrt (sin b)) (/ (sqrt (sin b)) (cos (+ a b)))))) * * * * [misc]progress: [ 24 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (cos (+ a b))) (cbrt (cos (+ a b))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (cos (+ a b))) (cbrt (cos (+ a b))))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (* (/ 1 (* (cbrt (cos (+ a b))) (cbrt (cos (+ a b))))) (/ (sin b) (cbrt (cos (+ a b))))))) * [enter]simplify: Simplifying (/ (sin b) (cbrt (cos (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sin b) (cbrt (cos (+ b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (* (/ 1 (* (cbrt (cos (+ a b))) (cbrt (cos (+ a b))))) (/ (sin b) (cbrt (cos (+ b a))))))) * * * * [misc]progress: [ 25 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (cos (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (cos (+ a b)))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (* (/ 1 (sqrt (cos (+ a b)))) (/ (sin b) (sqrt (cos (+ a b))))))) * [enter]simplify: Simplifying (/ (sin b) (sqrt (cos (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sin b) (sqrt (cos (+ b a)))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (* (/ 1 (sqrt (cos (+ a b)))) (/ (sin b) (sqrt (cos (+ b a))))))) * * * * [misc]progress: [ 26 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (* 1 (/ (sin b) (cos (+ a b)))))) * [enter]simplify: Simplifying (/ (sin b) (cos (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sin b) (cos (+ b a))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (* 1 (/ (sin b) (cos (+ b a)))))) * * * * [misc]progress: [ 27 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (+ a b))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cos (+ b a))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (/ (/ (sin b) (* (cbrt (cos (+ a b))) (cbrt (cos (+ a b))))) (cbrt (cos (+ b a)))))) * * * * [misc]progress: [ 31 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (+ a b))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cos (+ b a))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (/ (/ (sin b) (sqrt (cos (+ a b)))) (sqrt (cos (+ b a)))))) * * * * [misc]progress: [ 32 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (+ b a)) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (/ (/ (sin b) 1) (cos (+ b a))))) * * * * [misc]progress: [ 33 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin b)) (cbrt (sin b))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (sin b)) (cbrt (sin b))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (/ (* (cbrt (sin b)) (cbrt (sin b))) (/ (cos (+ a b)) (cbrt (sin b)))))) * * * * [misc]progress: [ 34 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin b)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin b)) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (/ (sqrt (sin b)) (/ (cos (+ a b)) (sqrt (sin b)))))) * * * * [misc]progress: [ 35 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sin b) (cos (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin b) (cos (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (* (cbrt (/ (sin b) (cos (+ a b)))) (cbrt (/ (sin b) (cos (+ a b)))))) (cbrt (/ (sin b) (cos (+ b a)))))) * * * * [misc]progress: [ 44 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sin b) (cos (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (sin b) (cos (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (sqrt (/ (sin b) (cos (+ a b))))) (sqrt (/ (sin b) (cos (+ b a)))))) * * * * [misc]progress: [ 45 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sin b)) (cbrt (cos (+ a b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin b)) (cbrt (cos (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (/ (* (cbrt (sin b)) (cbrt (sin b))) (* (cbrt (cos (+ a b))) (cbrt (cos (+ a b)))))) (/ (cbrt (sin b)) (cbrt (cos (+ a b)))))) * * * * [misc]progress: [ 46 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sin b)) (sqrt (cos (+ a b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin b)) (sqrt (cos (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (/ (* (cbrt (sin b)) (cbrt (sin b))) (sqrt (cos (+ a b))))) (/ (cbrt (sin b)) (sqrt (cos (+ a b)))))) * * * * [misc]progress: [ 47 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sin b)) (cos (+ a b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin b)) (cos (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (/ (* (cbrt (sin b)) (cbrt (sin b))) 1)) (/ (cbrt (sin b)) (cos (+ a b))))) * * * * [misc]progress: [ 48 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin b)) (cbrt (cos (+ a b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin b)) (cbrt (cos (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (/ (sqrt (sin b)) (* (cbrt (cos (+ a b))) (cbrt (cos (+ a b)))))) (/ (sqrt (sin b)) (cbrt (cos (+ a b)))))) * * * * [misc]progress: [ 49 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin b)) (sqrt (cos (+ a b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin b)) (sqrt (cos (+ a b)))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (/ (sqrt (sin b)) (sqrt (cos (+ a b))))) (/ (sqrt (sin b)) (sqrt (cos (+ a b)))))) * * * * [misc]progress: [ 50 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin b)) (cos (+ a b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin b)) (cos (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (/ (sqrt (sin b)) 1)) (/ (sqrt (sin b)) (cos (+ a b))))) * * * * [misc]progress: [ 51 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin b) (cbrt (cos (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sin b) (cbrt (cos (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (/ 1 (* (cbrt (cos (+ a b))) (cbrt (cos (+ a b)))))) (/ (sin b) (cbrt (cos (+ b a)))))) * * * * [misc]progress: [ 52 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin b) (sqrt (cos (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sin b) (sqrt (cos (+ b a)))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (/ 1 (sqrt (cos (+ a b))))) (/ (sin b) (sqrt (cos (+ b a)))))) * * * * [misc]progress: [ 53 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin b) (cos (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sin b) (cos (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (/ 1 1)) (/ (sin b) (cos (+ b a))))) * * * * [misc]progress: [ 54 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin b) (cos (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sin b) (cos (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r 1) (/ (sin b) (cos (+ b a))))) * * * * [misc]progress: [ 55 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cos (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (cos (+ a b))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (sin b)) (/ 1 (cos (+ a b))))) * * * * [misc]progress: [ 56 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (+ b a)) * [misc]simplify: Simplified (2 2) to (λ (r a b) (/ (* r (sin b)) (cos (+ b a)))) * * * * [misc]progress: [ 57 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* 1/2 (pow a 2)) (* a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (+ (- 1 (* b a)) (* (* a -1/2) a)) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (/ (sin b) (+ (- 1 (* b a)) (* (* a -1/2) a))))) * * * * [misc]progress: [ 59 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (+ b a)) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (/ (sin b) (cos (+ b a))))) * * * * [misc]progress: [ 60 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (+ a b)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (+ b a)) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (/ (sin b) (cos (+ b a))))) * * * * [misc]progress: [ 61 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b (+ (* 1/3 (pow b 3)) (* a (pow b 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (+ b (* (+ (* b 1/3) a) (* b b))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* r (+ b (* (+ (* b 1/3) a) (* b b))))) * * * * [misc]progress: [ 62 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin b) (cos (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sin b) (cos (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* r (/ (sin b) (cos (+ b a))))) * * * * [misc]progress: [ 63 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin b) (cos (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sin b) (cos (+ b a))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* r (/ (sin b) (cos (+ b a))))) * * * * [misc]progress: [ 64 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* r b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* r b) * [misc]simplify: Simplified (2) to (λ (r a b) (* r b)) * * * * [misc]progress: [ 65 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin b) r) (cos (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (/ (* r (sin b)) (cos (+ b a))) * [misc]simplify: Simplified (2) to (λ (r a b) (/ (* r (sin b)) (cos (+ b a)))) * * * * [misc]progress: [ 66 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin b) r) (cos (+ a b))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (/ (* r (sin b)) (cos (+ b a))) * [misc]simplify: Simplified (2) to (λ (r a b) (/ (* r (sin b)) (cos (+ b a)))) * * * [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) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) in a * [misc]taylor: Taking taylor expansion of (sin b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]taylor: Taking taylor expansion of (- (* (cos a) (cos b)) (* (sin a) (sin b))) in a * [misc]taylor: Taking taylor expansion of (* (cos a) (cos b)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 1) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos b) 0) into (cos b) * [misc]backup-simplify: Simplify (* 1 (cos b)) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* 0 (sin b)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos b) 0) into (cos b) * [misc]backup-simplify: Simplify (/ (sin b) (cos b)) into (/ (sin b) (cos b)) * [misc]taylor: Taking taylor expansion of (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) in b * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (cos a) (cos b)) (* (sin a) (sin b))) in b * [misc]taylor: Taking taylor expansion of (* (cos a) (cos b)) in b * [misc]taylor: Taking taylor expansion of (cos a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in b * [misc]taylor: Taking taylor expansion of (sin a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 1) into (sin a) * [misc]backup-simplify: Simplify (* (cos a) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin a) 0) into (sin a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (/ 1 (cos a)) into (/ 1 (cos a)) * [misc]taylor: Taking taylor expansion of (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) in b * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (cos a) (cos b)) (* (sin a) (sin b))) in b * [misc]taylor: Taking taylor expansion of (* (cos a) (cos b)) in b * [misc]taylor: Taking taylor expansion of (cos a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in b * [misc]taylor: Taking taylor expansion of (sin a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 1) into (sin a) * [misc]backup-simplify: Simplify (* (cos a) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin a) 0) into (sin a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (/ 1 (cos a)) into (/ 1 (cos a)) * [misc]taylor: Taking taylor expansion of (/ 1 (cos a)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 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 a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 1) (* 0 0)) into (sin a) * [misc]backup-simplify: Simplify (- (sin a)) into (- (sin a)) * [misc]backup-simplify: Simplify (+ 0 (- (sin a))) into (- (sin a)) * [misc]backup-simplify: Simplify (- (/ 0 (cos a)) (+ (* (/ 1 (cos a)) (/ (- (sin a)) (cos a))))) into (/ (sin a) (pow (cos a) 2)) * [misc]taylor: Taking taylor expansion of (/ (sin a) (pow (cos a) 2)) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (cos a) 2) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 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 a) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos a))) * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (cos a))) 0) into (- (* 1/2 (cos a))) * [misc]backup-simplify: Simplify (- (/ (- 1/6) (cos a)) (+ (* (/ 1 (cos a)) (/ (- (* 1/2 (cos a))) (cos a))) (* (/ (sin a) (pow (cos a) 2)) (/ (- (sin a)) (cos a))))) into (+ (* 1/3 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (cos a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (cos a)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ (pow (sin a) 2) (pow (cos a) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (sin a) 2) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]taylor: Taking taylor expansion of (pow (cos a) 3) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* a (pow b 2))) (+ (* 1/3 (pow (* 1 b) 3)) (* 1 (* 1 b)))) into (+ b (+ (* 1/3 (pow b 3)) (* a (pow b 2)))) * [misc]approximate: Taking taylor expansion of (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 1) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 b)) 0) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) (sin (/ 1 b))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 b)) (sin (/ 1 a)))) into (- (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) (cos (/ 1 b))) (- (* (sin (/ 1 b)) (sin (/ 1 a))))) into (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) into (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 1) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 a)) 0) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 1) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 a)) 0) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) (sin (/ 1 b))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 b)) (sin (/ 1 a)))) into (- (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) (cos (/ 1 b))) (- (* (sin (/ 1 b)) (sin (/ 1 a))))) into (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) into (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 1) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 a)) 0) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 1) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 a)) 0) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) (sin (/ 1 b))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 b)) (sin (/ 1 a)))) into (- (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) (cos (/ 1 b))) (- (* (sin (/ 1 b)) (sin (/ 1 a))))) into (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) into (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 b)) (sin (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 1) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 b)) 0) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) (sin (/ 1 a))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 b)) (sin (/ 1 a)))) into (- (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) (cos (/ 1 b))) (- (* (sin (/ 1 b)) (sin (/ 1 a))))) into (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) into (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) into (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 (cos (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 (sin (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (+ (* (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]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 (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 (cos (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 (sin (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (+ (* (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 (cos (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 (sin (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (+ (* (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))) (* 0 (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 (cos (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 (sin (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (+ (* (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))) (* 0 (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (+ (* (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))) (* 0 (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))) (* 0 (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ 1 (/ 1 b))) (- (* (cos (/ 1 (/ 1 a))) (cos (/ 1 (/ 1 b)))) (* (sin (/ 1 (/ 1 b))) (sin (/ 1 (/ 1 a)))))) into (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) * [misc]approximate: Taking taylor expansion of (/ (sin (/ 1 (- b))) (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- b))) (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 1) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 b)) 0) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 a)) (sin (/ -1 b)))) into (- (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (- (* (sin (/ -1 a)) (sin (/ -1 b))))) into (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) into (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- b))) (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- b))) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 1) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 a)) 0) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 1) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 a)) 0) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 a)) (sin (/ -1 b)))) into (- (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (- (* (sin (/ -1 a)) (sin (/ -1 b))))) into (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) into (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- b))) (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- b))) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 1) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 a)) 0) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 1) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 a)) 0) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 a)) (sin (/ -1 b)))) into (- (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (- (* (sin (/ -1 a)) (sin (/ -1 b))))) into (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) into (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) in a * [misc]taylor: Taking taylor expansion of (sin (/ -1 b)) in a * [misc]taylor: Taking taylor expansion of (/ -1 b) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1 b) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 a)) (cos (/ -1 b))) in a * [misc]taylor: Taking taylor expansion of (cos (/ -1 a)) in a * [misc]taylor: Taking taylor expansion of (/ -1 a) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ -1 b)) in a * [misc]taylor: Taking taylor expansion of (/ -1 b) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1 b) into (/ -1 b) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 a)) (sin (/ -1 b))) in a * [misc]taylor: Taking taylor expansion of (sin (/ -1 a)) in a * [misc]taylor: Taking taylor expansion of (/ -1 a) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 b)) in a * [misc]taylor: Taking taylor expansion of (/ -1 b) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1 b) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 1) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 b)) 0) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 a)) (sin (/ -1 b)))) into (- (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (- (* (sin (/ -1 a)) (sin (/ -1 b))))) into (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) into (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) into (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 (cos (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 (sin (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (+ (* (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]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 (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 (cos (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 (sin (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (+ (* (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 (cos (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 (sin (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (+ (* (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) (* 0 (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 (cos (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 (sin (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (+ (* (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) (* 0 (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (+ (* (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) (* 0 (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) (* 0 (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ -1 (/ 1 (- b)))) (- (* (cos (/ -1 (/ 1 (- a)))) (cos (/ -1 (/ 1 (- b))))) (* (sin (/ -1 (/ 1 (- a)))) (sin (/ -1 (/ 1 (- b))))))) into (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) in (r b a) around 0 * [misc]taylor: Taking taylor expansion of (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) in a * [misc]taylor: Taking taylor expansion of r in a * [misc]backup-simplify: Simplify r into r * [misc]taylor: Taking taylor expansion of (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) in a * [misc]taylor: Taking taylor expansion of (sin b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]taylor: Taking taylor expansion of (- (* (cos a) (cos b)) (* (sin a) (sin b))) in a * [misc]taylor: Taking taylor expansion of (* (cos a) (cos b)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 1) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos b) 0) into (cos b) * [misc]backup-simplify: Simplify (* 1 (cos b)) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* 0 (sin b)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos b) 0) into (cos b) * [misc]backup-simplify: Simplify (/ (sin b) (cos b)) into (/ (sin b) (cos b)) * [misc]taylor: Taking taylor expansion of (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) in b * [misc]taylor: Taking taylor expansion of r in b * [misc]backup-simplify: Simplify r into r * [misc]taylor: Taking taylor expansion of (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) in b * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (cos a) (cos b)) (* (sin a) (sin b))) in b * [misc]taylor: Taking taylor expansion of (* (cos a) (cos b)) in b * [misc]taylor: Taking taylor expansion of (cos a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in b * [misc]taylor: Taking taylor expansion of (sin a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 1) into (sin a) * [misc]backup-simplify: Simplify (* (cos a) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin a) 0) into (sin a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (/ 1 (cos a)) into (/ 1 (cos a)) * [misc]taylor: Taking taylor expansion of (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) in r * [misc]taylor: Taking taylor expansion of r in r * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) in r * [misc]taylor: Taking taylor expansion of (sin b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]taylor: Taking taylor expansion of (- (* (cos a) (cos b)) (* (sin a) (sin b))) in r * [misc]taylor: Taking taylor expansion of (* (cos a) (cos b)) in r * [misc]taylor: Taking taylor expansion of (cos a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]taylor: Taking taylor expansion of (cos b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in r * [misc]taylor: Taking taylor expansion of (sin a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]taylor: Taking taylor expansion of (sin b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (* (cos b) 1) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos b) 0) into (cos b) * [misc]backup-simplify: Simplify (* (cos a) (cos b)) into (* (cos a) (cos b)) * [misc]backup-simplify: Simplify (* (sin a) 1) into (sin a) * [misc]backup-simplify: Simplify (* (cos a) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin a) 0) into (sin a) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* (sin a) (sin b)) into (* (sin a) (sin b)) * [misc]backup-simplify: Simplify (- (* (sin a) (sin b))) into (- (* (sin a) (sin b))) * [misc]backup-simplify: Simplify (+ (* (cos a) (cos b)) (- (* (sin a) (sin b)))) into (- (* (cos a) (cos b)) (* (sin a) (sin b))) * [misc]backup-simplify: Simplify (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) into (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * [misc]taylor: Taking taylor expansion of (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) in r * [misc]taylor: Taking taylor expansion of r in r * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) in r * [misc]taylor: Taking taylor expansion of (sin b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]taylor: Taking taylor expansion of (- (* (cos a) (cos b)) (* (sin a) (sin b))) in r * [misc]taylor: Taking taylor expansion of (* (cos a) (cos b)) in r * [misc]taylor: Taking taylor expansion of (cos a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]taylor: Taking taylor expansion of (cos b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in r * [misc]taylor: Taking taylor expansion of (sin a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]taylor: Taking taylor expansion of (sin b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (* (cos b) 1) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos b) 0) into (cos b) * [misc]backup-simplify: Simplify (* (cos a) (cos b)) into (* (cos a) (cos b)) * [misc]backup-simplify: Simplify (* (sin a) 1) into (sin a) * [misc]backup-simplify: Simplify (* (cos a) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin a) 0) into (sin a) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* (sin a) (sin b)) into (* (sin a) (sin b)) * [misc]backup-simplify: Simplify (- (* (sin a) (sin b))) into (- (* (sin a) (sin b))) * [misc]backup-simplify: Simplify (+ (* (cos a) (cos b)) (- (* (sin a) (sin b)))) into (- (* (cos a) (cos b)) (* (sin a) (sin b))) * [misc]backup-simplify: Simplify (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) into (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * [misc]backup-simplify: Simplify (* 0 (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]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 b) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 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) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 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 a) 0) (* 0 (cos b))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (* 0 (sin b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (+ (* (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (/ 0 (- (* (cos a) (cos b)) (* (sin a) (sin b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) into (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * [misc]taylor: Taking taylor expansion of (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) in b * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (cos a) (cos b)) (* (sin a) (sin b))) in b * [misc]taylor: Taking taylor expansion of (* (cos a) (cos b)) in b * [misc]taylor: Taking taylor expansion of (cos a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in b * [misc]taylor: Taking taylor expansion of (sin a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 1) into (sin a) * [misc]backup-simplify: Simplify (* (cos a) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin a) 0) into (sin a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (/ 1 (cos a)) into (/ 1 (cos a)) * [misc]taylor: Taking taylor expansion of (/ 1 (cos a)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [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]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 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 a) 0) (+ (* 0 0) (* 0 (cos b)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (+ (* 0 0) (* 0 (sin b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (+ (* (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (/ 0 (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (* 0 (/ 0 (- (* (cos a) (cos b)) (* (sin a) (sin b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 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 a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 1) (* 0 0)) into (sin a) * [misc]backup-simplify: Simplify (- (sin a)) into (- (sin a)) * [misc]backup-simplify: Simplify (+ 0 (- (sin a))) into (- (sin a)) * [misc]backup-simplify: Simplify (- (/ 0 (cos a)) (+ (* (/ 1 (cos a)) (/ (- (sin a)) (cos a))))) into (/ (sin a) (pow (cos a) 2)) * [misc]taylor: Taking taylor expansion of (/ (sin a) (pow (cos a) 2)) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (cos a) 2) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]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)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* 1 (* b r))) into (* r b) * [misc]approximate: Taking taylor expansion of (* (/ 1 r) (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))))) in (r b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 r) (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 r) in a * [misc]taylor: Taking taylor expansion of r in a * [misc]backup-simplify: Simplify r into r * [misc]backup-simplify: Simplify (/ 1 r) into (/ 1 r) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 1) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 b)) 0) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) (sin (/ 1 b))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 b)) (sin (/ 1 a)))) into (- (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) (cos (/ 1 b))) (- (* (sin (/ 1 b)) (sin (/ 1 a))))) into (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) into (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 r) (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 r) in b * [misc]taylor: Taking taylor expansion of r in b * [misc]backup-simplify: Simplify r into r * [misc]backup-simplify: Simplify (/ 1 r) into (/ 1 r) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 1) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 a)) 0) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 1) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 a)) 0) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) (sin (/ 1 b))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 b)) (sin (/ 1 a)))) into (- (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) (cos (/ 1 b))) (- (* (sin (/ 1 b)) (sin (/ 1 a))))) into (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) into (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 r) (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))))) in r * [misc]taylor: Taking taylor expansion of (/ 1 r) in r * [misc]taylor: Taking taylor expansion of r in r * [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 (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b))))) in r * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in r * [misc]taylor: Taking taylor expansion of (/ 1 b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))) in r * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in r * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in r * [misc]taylor: Taking taylor expansion of (/ 1 a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in r * [misc]taylor: Taking taylor expansion of (/ 1 b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in r * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in r * [misc]taylor: Taking taylor expansion of (/ 1 a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in r * [misc]taylor: Taking taylor expansion of (/ 1 b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 1) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 a)) 0) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 1) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 b)) 0) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 1) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 a)) 0) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) (sin (/ 1 b))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 b)) (sin (/ 1 a)))) into (- (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) (cos (/ 1 b))) (- (* (sin (/ 1 b)) (sin (/ 1 a))))) into (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) into (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 r) (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))))) in r * [misc]taylor: Taking taylor expansion of (/ 1 r) in r * [misc]taylor: Taking taylor expansion of r in r * [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 (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b))))) in r * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in r * [misc]taylor: Taking taylor expansion of (/ 1 b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))) in r * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in r * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in r * [misc]taylor: Taking taylor expansion of (/ 1 a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in r * [misc]taylor: Taking taylor expansion of (/ 1 b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in r * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in r * [misc]taylor: Taking taylor expansion of (/ 1 a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in r * [misc]taylor: Taking taylor expansion of (/ 1 b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 1) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 a)) 0) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 1) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 b)) 0) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 1) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 a)) 0) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) (sin (/ 1 b))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 b)) (sin (/ 1 a)))) into (- (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) (cos (/ 1 b))) (- (* (sin (/ 1 b)) (sin (/ 1 a))))) into (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) into (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) * [misc]backup-simplify: Simplify (* 1 (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))) into (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 b)) (sin (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 1) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 a)) 0) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 1) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 a)) 0) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) (sin (/ 1 a))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 b)) (sin (/ 1 a)))) into (- (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) (cos (/ 1 b))) (- (* (sin (/ 1 b)) (sin (/ 1 a))))) into (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) into (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 b)) (sin (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 1) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 b)) 0) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) (sin (/ 1 a))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 b)) (sin (/ 1 a)))) into (- (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) (cos (/ 1 b))) (- (* (sin (/ 1 b)) (sin (/ 1 a))))) into (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) into (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) into (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 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) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 (cos (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 (sin (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (+ (* (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 (cos (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 (sin (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (+ (* (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]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 (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 (cos (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 (sin (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (+ (* (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 (cos (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 (sin (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (+ (* (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))) (* 0 (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 (cos (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 (sin (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (+ (* (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))) (* 0 (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (sin (/ 1 (/ 1 b))) (- (* (cos (/ 1 (/ 1 a))) (cos (/ 1 (/ 1 b)))) (* (sin (/ 1 (/ 1 b))) (sin (/ 1 (/ 1 a)))))) (* 1 (* 1 (/ 1 (/ 1 r))))) into (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- r)) (/ (sin (/ 1 (- b))) (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))))) in (r b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- r)) (/ (sin (/ 1 (- b))) (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- r)) in a * [misc]taylor: Taking taylor expansion of (- r) in a * [misc]taylor: Taking taylor expansion of r in a * [misc]backup-simplify: Simplify r into r * [misc]backup-simplify: Simplify (- r) into (- r) * [misc]backup-simplify: Simplify (- r) into (- r) * [misc]backup-simplify: Simplify (/ 1 (- r)) into (/ -1 r) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- b))) (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 1) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 b)) 0) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 a)) (sin (/ -1 b)))) into (- (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (- (* (sin (/ -1 a)) (sin (/ -1 b))))) into (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) into (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- r)) (/ (sin (/ 1 (- b))) (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- r)) in b * [misc]taylor: Taking taylor expansion of (- r) in b * [misc]taylor: Taking taylor expansion of r in b * [misc]backup-simplify: Simplify r into r * [misc]backup-simplify: Simplify (- r) into (- r) * [misc]backup-simplify: Simplify (- r) into (- r) * [misc]backup-simplify: Simplify (/ 1 (- r)) into (/ -1 r) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- b))) (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- b))) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 1) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 a)) 0) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 1) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 a)) 0) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 a)) (sin (/ -1 b)))) into (- (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (- (* (sin (/ -1 a)) (sin (/ -1 b))))) into (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) into (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- r)) (/ (sin (/ 1 (- b))) (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- r)) in r * [misc]taylor: Taking taylor expansion of (- r) in r * [misc]taylor: Taking taylor expansion of r in r * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (/ (sin (/ 1 (- b))) (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))))) in r * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in r * [misc]taylor: Taking taylor expansion of (- b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))) in r * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) in r * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in r * [misc]taylor: Taking taylor expansion of (- a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in r * [misc]taylor: Taking taylor expansion of (- b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in r * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in r * [misc]taylor: Taking taylor expansion of (- a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in r * [misc]taylor: Taking taylor expansion of (- b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 1) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 a)) 0) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 1) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 b)) 0) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 1) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 a)) 0) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 a)) (sin (/ -1 b)))) into (- (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (- (* (sin (/ -1 a)) (sin (/ -1 b))))) into (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) into (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- r)) (/ (sin (/ 1 (- b))) (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- r)) in r * [misc]taylor: Taking taylor expansion of (- r) in r * [misc]taylor: Taking taylor expansion of r in r * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (/ (sin (/ 1 (- b))) (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))))) in r * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in r * [misc]taylor: Taking taylor expansion of (- b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))) in r * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) in r * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in r * [misc]taylor: Taking taylor expansion of (- a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in r * [misc]taylor: Taking taylor expansion of (- b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in r * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in r * [misc]taylor: Taking taylor expansion of (- a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in r * [misc]taylor: Taking taylor expansion of (- b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 1) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 a)) 0) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 1) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 b)) 0) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 1) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 a)) 0) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 a)) (sin (/ -1 b)))) into (- (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (- (* (sin (/ -1 a)) (sin (/ -1 b))))) into (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) into (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) * [misc]backup-simplify: Simplify (* -1 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) into (* -1 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) in b * [misc]taylor: Taking taylor expansion of (sin (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 a)) (cos (/ -1 b))) in b * [misc]taylor: Taking taylor expansion of (cos (/ -1 a)) in b * [misc]taylor: Taking taylor expansion of (/ -1 a) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ -1 a) into (/ -1 a) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 a)) (sin (/ -1 b))) in b * [misc]taylor: Taking taylor expansion of (sin (/ -1 a)) in b * [misc]taylor: Taking taylor expansion of (/ -1 a) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ -1 a) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 1) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 a)) 0) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 1) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 a)) 0) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 a)) (sin (/ -1 b)))) into (- (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (- (* (sin (/ -1 a)) (sin (/ -1 b))))) into (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) into (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) * [misc]backup-simplify: Simplify (* -1 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) into (* -1 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) in a * [misc]taylor: Taking taylor expansion of (sin (/ -1 b)) in a * [misc]taylor: Taking taylor expansion of (/ -1 b) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1 b) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 a)) (cos (/ -1 b))) in a * [misc]taylor: Taking taylor expansion of (cos (/ -1 a)) in a * [misc]taylor: Taking taylor expansion of (/ -1 a) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ -1 b)) in a * [misc]taylor: Taking taylor expansion of (/ -1 b) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1 b) into (/ -1 b) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 a)) (sin (/ -1 b))) in a * [misc]taylor: Taking taylor expansion of (sin (/ -1 a)) in a * [misc]taylor: Taking taylor expansion of (/ -1 a) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 b)) in a * [misc]taylor: Taking taylor expansion of (/ -1 b) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1 b) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 1) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 b)) 0) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 a)) (sin (/ -1 b)))) into (- (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (- (* (sin (/ -1 a)) (sin (/ -1 b))))) into (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) into (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) * [misc]backup-simplify: Simplify (* -1 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) into (* -1 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) * [misc]backup-simplify: Simplify (* -1 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) into (* -1 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 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) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 (cos (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 (sin (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (+ (* (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))))) 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 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 (cos (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 (sin (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (+ (* (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]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 (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 (cos (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 (sin (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (+ (* (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 (cos (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 (sin (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (+ (* (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) (* 0 (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))))) 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 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 (cos (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 (sin (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (+ (* (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) (* 0 (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (/ (sin (/ -1 (/ 1 (- b)))) (- (* (cos (/ -1 (/ 1 (- a)))) (cos (/ -1 (/ 1 (- b))))) (* (sin (/ -1 (/ 1 (- a)))) (sin (/ -1 (/ 1 (- b)))))))) (* 1 (* 1 (/ 1 (/ 1 (- r)))))) into (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 2) * [misc]approximate: Taking taylor expansion of (* (sin a) (sin b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in b * [misc]taylor: Taking taylor expansion of (sin a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* 0 (sin b)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]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 b) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin b))) into (sin b) * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (sin b))))) into (- (* 1/6 (sin b))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (sin b))) in b * [misc]taylor: Taking taylor expansion of (* 1/6 (sin b)) in b * [misc]taylor: Taking taylor expansion of 1/6 in b * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/6) 0) (* 0 (sin b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* b a)) into (* a b) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) (sin (/ 1 b))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 b)) (sin (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 1) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 a)) 0) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) (sin (/ 1 a))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) (sin (/ 1 a))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 (sin (/ 1 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]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 (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 (sin (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 (sin (/ 1 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 (sin (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 (/ 1 b))) (sin (/ 1 (/ 1 a)))) into (* (sin b) (sin a)) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 a)) (sin (/ -1 b))) in b * [misc]taylor: Taking taylor expansion of (sin (/ -1 a)) in b * [misc]taylor: Taking taylor expansion of (/ -1 a) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ -1 a) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 1) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 a)) 0) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 (sin (/ -1 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]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 (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 (sin (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 (sin (/ -1 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 (sin (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 (/ 1 (- a)))) (sin (/ -1 (/ 1 (- b))))) into (* (sin a) (sin b)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (- (* (cos a) (cos b)) (* (sin a) (sin b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (cos a) (cos b)) (* (sin a) (sin b))) in b * [misc]taylor: Taking taylor expansion of (* (cos a) (cos b)) in b * [misc]taylor: Taking taylor expansion of (cos a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in b * [misc]taylor: Taking taylor expansion of (sin a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (cos a) (cos b)) (* (sin a) (sin b))) in a * [misc]taylor: Taking taylor expansion of (* (cos a) (cos b)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]taylor: Taking taylor expansion of (- (* (cos a) (cos b)) (* (sin a) (sin b))) in a * [misc]taylor: Taking taylor expansion of (* (cos a) (cos b)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (* (cos b) 1) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos b) 0) into (cos b) * [misc]backup-simplify: Simplify (* 1 (cos b)) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* 0 (sin b)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos b) 0) into (cos b) * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 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) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos b))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin b))) into (sin b) * [misc]backup-simplify: Simplify (- (sin b)) into (- (sin b)) * [misc]backup-simplify: Simplify (+ 0 (- (sin b))) into (- (sin b)) * [misc]taylor: Taking taylor expansion of (- (sin b)) in b * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (cos b)))) into (- (* 1/2 (cos b))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (cos b))) 0) into (- (* 1/2 (cos b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (cos b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (cos b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* b a)) (+ (* -1/2 (pow (* 1 a) 2)) 1)) into (- 1 (+ (* 1/2 (pow a 2)) (* a b))) * [misc]approximate: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 1) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 b)) 0) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) (sin (/ 1 b))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 b)) (sin (/ 1 a)))) into (- (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) (cos (/ 1 b))) (- (* (sin (/ 1 b)) (sin (/ 1 a))))) into (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 b)) (sin (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 1) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 a)) 0) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 1) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 a)) 0) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) (sin (/ 1 a))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 b)) (sin (/ 1 a)))) into (- (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) (cos (/ 1 b))) (- (* (sin (/ 1 b)) (sin (/ 1 a))))) into (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) into (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 (cos (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 (sin (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 (cos (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 (sin (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 (cos (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 (sin (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 (cos (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 (sin (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (* (cos (/ 1 (/ 1 a))) (cos (/ 1 (/ 1 b)))) (* (sin (/ 1 (/ 1 b))) (sin (/ 1 (/ 1 a))))) into (- (* (cos a) (cos b)) (* (sin b) (sin a))) * [misc]approximate: Taking taylor expansion of (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- b))) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 1) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 b)) 0) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 a)) (sin (/ -1 b)))) into (- (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (- (* (sin (/ -1 a)) (sin (/ -1 b))))) into (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 a)) (cos (/ -1 b))) in b * [misc]taylor: Taking taylor expansion of (cos (/ -1 a)) in b * [misc]taylor: Taking taylor expansion of (/ -1 a) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ -1 a) into (/ -1 a) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 a)) (sin (/ -1 b))) in b * [misc]taylor: Taking taylor expansion of (sin (/ -1 a)) in b * [misc]taylor: Taking taylor expansion of (/ -1 a) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ -1 a) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 1) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 a)) 0) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 1) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 a)) 0) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 a)) (sin (/ -1 b)))) into (- (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (- (* (sin (/ -1 a)) (sin (/ -1 b))))) into (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) into (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 (cos (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 (sin (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 (cos (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 (sin (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 (cos (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 (sin (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 (cos (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 (sin (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (* (cos (/ -1 (/ 1 (- a)))) (cos (/ -1 (/ 1 (- b))))) (* (sin (/ -1 (/ 1 (- a)))) (sin (/ -1 (/ 1 (- b)))))) into (- (* (cos a) (cos b)) (* (sin a) (sin b))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sin b)) (log (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (- (log (sin b)) (log (- (* (cos a) (cos b)) (* (sin b) (sin a))))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (exp (- (log (sin b)) (log (- (* (cos a) (cos b)) (* (sin b) (sin a)))))))) * * * * [misc]progress: [ 3 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sin b) (sin b)) (sin b)) (* (* (- (* (cos a) (cos b)) (* (sin a) (sin b))) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * [exit]simplify: Simplified to (pow (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (cbrt (pow (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) 3)))) * * * * [misc]progress: [ 6 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin b)) (cbrt (sin b))) (* (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin b)) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (/ (cbrt (sin b)) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (* (* (/ (cbrt (sin b)) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (/ (cbrt (sin b)) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) (/ (cbrt (sin b)) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))))) * [enter]simplify: Simplifying (/ (cbrt (sin b)) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin b)) (cbrt (- (* (cos a) (cos b)) (* (sin b) (sin a))))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (* (/ (* (cbrt (sin b)) (cbrt (sin b))) (* (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) (/ (cbrt (sin b)) (cbrt (- (* (cos a) (cos b)) (* (sin b) (sin a)))))))) * * * * [misc]progress: [ 11 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin b)) (cbrt (sin b))) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin b)) (cbrt (sin b))) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (* (/ (* (cbrt (sin b)) (cbrt (sin b))) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (/ (cbrt (sin b)) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))))) * [enter]simplify: Simplifying (/ (cbrt (sin b)) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin b)) (sqrt (- (* (cos a) (cos b)) (* (sin b) (sin a))))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (* (/ (* (cbrt (sin b)) (cbrt (sin b))) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (/ (cbrt (sin b)) (sqrt (- (* (cos a) (cos b)) (* (sin b) (sin a)))))))) * * * * [misc]progress: [ 12 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin b)) (cbrt (sin b))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (sin b)) (cbrt (sin b))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (* (* (cbrt (sin b)) (cbrt (sin b))) (/ (cbrt (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))) * [enter]simplify: Simplifying (/ (cbrt (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin b)) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (* (* (cbrt (sin b)) (cbrt (sin b))) (/ (cbrt (sin b)) (- (* (cos a) (cos b)) (* (sin b) (sin a))))))) * * * * [misc]progress: [ 13 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin b)) (* (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin b)) (* (cbrt (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (cbrt (- (* (cos a) (cos b)) (* (sin b) (sin a)))))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (* (/ (sqrt (sin b)) (* (cbrt (- (* (cos a) (cos b)) (* (sin b) (sin a)))) (cbrt (- (* (cos a) (cos b)) (* (sin b) (sin a)))))) (/ (sqrt (sin b)) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))))) * [enter]simplify: Simplifying (/ (sqrt (sin b)) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin b)) (cbrt (- (* (cos a) (cos b)) (* (sin b) (sin a))))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (* (/ (sqrt (sin b)) (* (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) (/ (sqrt (sin b)) (cbrt (- (* (cos a) (cos b)) (* (sin b) (sin a)))))))) * * * * [misc]progress: [ 14 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin b)) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin b)) (sqrt (- (* (cos a) (cos b)) (* (sin b) (sin a))))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (* (/ (sqrt (sin b)) (sqrt (- (* (cos a) (cos b)) (* (sin b) (sin a))))) (/ (sqrt (sin b)) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))))) * [enter]simplify: Simplifying (/ (sqrt (sin b)) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin b)) (sqrt (- (* (cos a) (cos b)) (* (sin b) (sin a))))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (* (/ (sqrt (sin b)) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (/ (sqrt (sin b)) (sqrt (- (* (cos a) (cos b)) (* (sin b) (sin a)))))))) * * * * [misc]progress: [ 15 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin b)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (sin b)) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (* (sqrt (sin b)) (/ (sqrt (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))) * [enter]simplify: Simplifying (/ (sqrt (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin b)) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (* (sqrt (sin b)) (/ (sqrt (sin b)) (- (* (cos a) (cos b)) (* (sin b) (sin a))))))) * * * * [misc]progress: [ 16 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (cbrt (- (* (cos b) (cos a)) (* (sin b) (sin a))))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (* (/ (/ 1 (cbrt (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (cbrt (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/ (sin b) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))))) * [enter]simplify: Simplifying (/ (sin b) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sin b) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (* (/ 1 (* (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) (/ (sin b) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))))) * * * * [misc]progress: [ 17 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (* (cos b) (cos a)) (* (sin b) (sin a))))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (* (/ 1 (sqrt (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/ (sin b) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))))) * [enter]simplify: Simplifying (/ (sin b) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sin b) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (* (/ 1 (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (/ (sin b) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))))) * * * * [misc]progress: [ 18 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (* 1 (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))) * [enter]simplify: Simplifying (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (* 1 (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))) * * * * [misc]progress: [ 19 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (cbrt (- (* (cos b) (cos a)) (* (sin a) (sin b)))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (/ (/ (sin b) (* (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) (cbrt (- (* (cos b) (cos a)) (* (sin a) (sin b))))))) * * * * [misc]progress: [ 23 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (sqrt (- (* (cos b) (cos a)) (* (sin a) (sin b)))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (/ (/ (sin b) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (sqrt (- (* (cos b) (cos a)) (* (sin a) (sin b))))))) * * * * [misc]progress: [ 24 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cos a) (cos b)) (* (sin a) (sin b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (- (* (cos b) (cos a)) (* (sin a) (sin b))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (/ (/ (sin b) 1) (- (* (cos b) (cos a)) (* (sin a) (sin b)))))) * * * * [misc]progress: [ 25 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin b)) (cbrt (sin b))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (sin b)) (cbrt (sin b))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (/ (* (cbrt (sin b)) (cbrt (sin b))) (/ (- (* (cos a) (cos b)) (* (sin a) (sin b))) (cbrt (sin b)))))) * * * * [misc]progress: [ 26 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin b)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin b)) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* r (/ (sqrt (sin b)) (/ (- (* (cos a) (cos b)) (* (sin a) (sin b))) (sqrt (sin b)))))) * * * * [misc]progress: [ 27 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (* (/ (sin b) (- (* (+ (cos (+ a b)) (cos (- a b))) 2) (* 2 (- (cos (- a b)) (cos (+ a b)))))) 4))) * * * * [misc]progress: [ 30 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (cos a) (cos b)) (* (cos a) (cos b))) (+ (* (* (sin a) (sin b)) (* (sin a) (sin b))) (* (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (* (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a))))))) * * * * [misc]progress: [ 31 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cos a) (cos b)) (* (sin a) (sin b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ (* (sin a) (sin b)) (* (cos b) (cos a))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (* (/ (sin b) (- (* (* (cos a) (cos b)) (* (cos a) (cos b))) (* (* (sin a) (sin b)) (* (sin a) (sin b))))) (+ (* (sin a) (sin b)) (* (cos b) (cos a)))))) * * * * [misc]progress: [ 32 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (* (cbrt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (cbrt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))) (cbrt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))) * * * * [misc]progress: [ 40 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (sqrt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (sqrt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) (sqrt (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))))) * * * * [misc]progress: [ 41 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sin b)) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin b)) (cbrt (- (* (cos a) (cos b)) (* (sin b) (sin a))))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (/ (* (cbrt (sin b)) (cbrt (sin b))) (* (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))))) (/ (cbrt (sin b)) (cbrt (- (* (cos a) (cos b)) (* (sin b) (sin a))))))) * * * * [misc]progress: [ 42 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sin b)) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin b)) (sqrt (- (* (cos a) (cos b)) (* (sin b) (sin a))))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (/ (* (cbrt (sin b)) (cbrt (sin b))) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) (/ (cbrt (sin b)) (sqrt (- (* (cos a) (cos b)) (* (sin b) (sin a))))))) * * * * [misc]progress: [ 43 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin b)) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (/ (* (cbrt (sin b)) (cbrt (sin b))) 1)) (/ (cbrt (sin b)) (- (* (cos a) (cos b)) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 44 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin b)) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin b)) (cbrt (- (* (cos a) (cos b)) (* (sin b) (sin a))))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (/ (sqrt (sin b)) (* (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))))) (/ (sqrt (sin b)) (cbrt (- (* (cos a) (cos b)) (* (sin b) (sin a))))))) * * * * [misc]progress: [ 45 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin b)) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin b)) (sqrt (- (* (cos a) (cos b)) (* (sin b) (sin a))))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (/ (sqrt (sin b)) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) (/ (sqrt (sin b)) (sqrt (- (* (cos a) (cos b)) (* (sin b) (sin a))))))) * * * * [misc]progress: [ 46 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin b)) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (/ (sqrt (sin b)) 1)) (/ (sqrt (sin b)) (- (* (cos a) (cos b)) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 47 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin b) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sin b) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (/ 1 (* (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))))) (/ (sin b) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))))) * * * * [misc]progress: [ 48 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin b) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sin b) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (/ 1 (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) (/ (sin b) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))))) * * * * [misc]progress: [ 49 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (/ 1 1)) (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) * * * * [misc]progress: [ 50 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r 1) (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) * * * * [misc]progress: [ 51 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ 1 (- (* (cos b) (cos a)) (* (sin b) (sin a)))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (sin b)) (/ 1 (- (* (cos b) (cos a)) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 52 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (/ (sin b) (- (* (+ (cos (+ a b)) (cos (- a b))) 2) (* 2 (- (cos (- a b)) (cos (+ a b))))))) 4)) * * * * [misc]progress: [ 54 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (cos a) (cos b)) (* (cos a) (cos b))) (+ (* (* (sin a) (sin b)) (* (sin a) (sin b))) (* (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 55 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cos a) (cos b)) (* (sin a) (sin b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ (* (sin a) (sin b)) (* (cos b) (cos a))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (* r (/ (sin b) (- (* (* (cos a) (cos b)) (* (cos a) (cos b))) (* (* (sin a) (sin b)) (* (sin a) (sin b)))))) (+ (* (sin a) (sin b)) (* (cos b) (cos a))))) * * * * [misc]progress: [ 56 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cos a) (cos b)) (* (sin a) (sin b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (- (* (cos b) (cos a)) (* (sin a) (sin b))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) * * * * [misc]progress: [ 57 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- a b)) (cos (+ a b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (cos (- a b)) (cos (+ b a))) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (r a b) (* r (/ (sin b) (- (* (cos a) (cos b)) (/ (- (cos (- a b)) (cos (+ b a))) 2))))) * * * * [misc]progress: [ 59 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin a) (sin b)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin b) (sin a)) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (r a b) (* r (/ (sin b) (- (* (cos a) (cos b)) (pow (* (sin b) (sin a)) 1))))) * * * * [misc]progress: [ 60 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin a)) (log (sin b))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ (log (sin b)) (log (sin a))) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (r a b) (* r (/ (sin b) (- (* (cos a) (cos b)) (exp (+ (log (sin b)) (log (sin a)))))))) * * * * [misc]progress: [ 62 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin a) (sin a)) (sin a)) (* (* (sin b) (sin b)) (sin b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (pow (* (sin b) (sin a)) 3) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (r a b) (* r (/ (sin b) (- (* (cos a) (cos b)) (cbrt (pow (* (sin b) (sin a)) 3)))))) * * * * [misc]progress: [ 65 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin b)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sin b)) * [misc]simplify: Simplified (2 2 2 2 2) to (λ (r a b) (* r (/ (sin b) (- (* (cos a) (cos b)) (* (* (sin a) (* (cbrt (sin b)) (cbrt (sin b)))) (cbrt (sin b))))))) * * * * [misc]progress: [ 70 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin b)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin b)) * [misc]simplify: Simplified (2 2 2 2 2) to (λ (r a b) (* r (/ (sin b) (- (* (cos a) (cos b)) (* (* (sin a) (sqrt (sin b))) (sqrt (sin b))))))) * * * * [misc]progress: [ 71 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sin b) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin b) * [misc]simplify: Simplified (2 2 2 2 2) to (λ (r a b) (* r (/ (sin b) (- (* (cos a) (cos b)) (* (* (sin a) 1) (sin b)))))) * * * * [misc]progress: [ 72 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin a)) (cbrt (sin a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (sin a)) (cbrt (sin a))) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (r a b) (* r (/ (sin b) (- (* (cos a) (cos b)) (* (* (cbrt (sin a)) (cbrt (sin a))) (* (cbrt (sin a)) (sin b))))))) * * * * [misc]progress: [ 73 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin a)) * [misc]simplify: Simplified (2 2 2 2 1) to (λ (r a b) (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sqrt (sin a)) (* (sqrt (sin a)) (sin b))))))) * * * * [misc]progress: [ 74 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* (cos a) (cos b))) (exp (* (sin a) (sin b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (exp (- (* (cos b) (cos a)) (* (sin b) (sin a)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (* r (/ (sin b) (log (exp (- (* (cos b) (cos a)) (* (sin b) (sin a)))))))) * * * * [misc]progress: [ 77 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (cos (+ a b)) (cos (- a b))) (- (cos (- a b)) (cos (+ a b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * [exit]simplify: Simplified to (+ (cos (+ b a)) (cos (+ b a))) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (* r (/ (sin b) (/ (+ (cos (+ b a)) (cos (+ b a))) 2)))) * * * * [misc]progress: [ 84 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (cos (+ a b)) (cos (- a b))) 2) (* 2 (- (cos (- a b)) (cos (+ a b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (* (cos (+ b a)) 4) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (* r (/ (sin b) (/ (* (cos (+ b a)) 4) (* 2 2))))) * [enter]simplify: Simplifying (* 2 2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 2 2 2) to (λ (r a b) (* r (/ (sin b) (/ (* (cos (+ b a)) 4) 4)))) * * * * [misc]progress: [ 85 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b (+ (* 1/3 (pow b 3)) (* a (pow b 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (+ b (* (+ (* b 1/3) a) (* b b))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* r (+ b (* (+ (* b 1/3) a) (* b b))))) * * * * [misc]progress: [ 91 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) * * * * [misc]progress: [ 92 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) * * * * [misc]progress: [ 93 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* r b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* r b) * [misc]simplify: Simplified (2) to (λ (r a b) (* r b)) * * * * [misc]progress: [ 94 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * [misc]simplify: Simplified (2) to (λ (r a b) (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * * * [misc]progress: [ 95 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * [misc]simplify: Simplified (2) to (λ (r a b) (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * * * [misc]progress: [ 96 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 2 2 2) to (λ (r a b) (* r (/ (sin b) (- (* (cos a) (cos b)) (* a b))))) * * * * [misc]progress: [ 97 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin b) (sin a)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin a) (sin b)) * [misc]simplify: Simplified (2 2 2 2) to (λ (r a b) (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) * * * * [misc]progress: [ 98 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin a) (sin b)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin b) (sin a)) * [misc]simplify: Simplified (2 2 2 2) to (λ (r a b) (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 99 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* 1/2 (pow a 2)) (* a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (+ (- 1 (* b a)) (* (* a -1/2) a)) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (/ (sin b) (+ (- 1 (* b a)) (* (* a -1/2) a))))) * * * * [misc]progress: [ 100 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cos a) (cos b)) (* (sin b) (sin a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (- (* (cos b) (cos a)) (* (sin b) (sin a))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 101 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cos a) (cos b)) (* (sin a) (sin b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (- (* (cos b) (cos a)) (* (sin a) (sin b))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* r (/ (sin b) (- (* (cos b) (cos a)) (* (sin a) (sin b)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* (sin a) (sin b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in b * [misc]taylor: Taking taylor expansion of (sin a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* 0 (sin b)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]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 b) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin b))) into (sin b) * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (sin b))))) into (- (* 1/6 (sin b))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (sin b))) in b * [misc]taylor: Taking taylor expansion of (* 1/6 (sin b)) in b * [misc]taylor: Taking taylor expansion of 1/6 in b * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/6 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/6) 0) (* 0 (sin b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* b a)) into (* a b) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) (sin (/ 1 b))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 b)) (sin (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 1) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 a)) 0) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) (sin (/ 1 a))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) (sin (/ 1 a))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 (sin (/ 1 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]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 (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 (sin (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 (sin (/ 1 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 (sin (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 (/ 1 b))) (sin (/ 1 (/ 1 a)))) into (* (sin b) (sin a)) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 a)) (sin (/ -1 b))) in b * [misc]taylor: Taking taylor expansion of (sin (/ -1 a)) in b * [misc]taylor: Taking taylor expansion of (/ -1 a) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ -1 a) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 1) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 a)) 0) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 (sin (/ -1 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]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 (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 (sin (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 (sin (/ -1 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 (sin (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 (/ 1 (- a)))) (sin (/ -1 (/ 1 (- b))))) into (* (sin a) (sin b)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) in (r b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) in a * [misc]taylor: Taking taylor expansion of (* r (sin b)) in a * [misc]taylor: Taking taylor expansion of r in a * [misc]backup-simplify: Simplify r into r * [misc]taylor: Taking taylor expansion of (sin b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]taylor: Taking taylor expansion of (- (* (cos a) (cos b)) (* (sin a) (sin b))) in a * [misc]taylor: Taking taylor expansion of (* (cos a) (cos b)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* r (sin b)) into (* (sin b) r) * [misc]backup-simplify: Simplify (* (cos b) 1) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos b) 0) into (cos b) * [misc]backup-simplify: Simplify (* 1 (cos b)) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* 0 (sin b)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos b) 0) into (cos b) * [misc]backup-simplify: Simplify (/ (* (sin b) r) (cos b)) into (/ (* (sin b) r) (cos b)) * [misc]taylor: Taking taylor expansion of (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) in b * [misc]taylor: Taking taylor expansion of (* r (sin b)) in b * [misc]taylor: Taking taylor expansion of r in b * [misc]backup-simplify: Simplify r into r * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (cos a) (cos b)) (* (sin a) (sin b))) in b * [misc]taylor: Taking taylor expansion of (* (cos a) (cos b)) in b * [misc]taylor: Taking taylor expansion of (cos a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in b * [misc]taylor: Taking taylor expansion of (sin a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* r 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* r 1) (* 0 0)) into r * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 1) into (sin a) * [misc]backup-simplify: Simplify (* (cos a) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin a) 0) into (sin a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (/ r (cos a)) into (/ r (cos a)) * [misc]taylor: Taking taylor expansion of (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) in r * [misc]taylor: Taking taylor expansion of (* r (sin b)) in r * [misc]taylor: Taking taylor expansion of r in r * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]taylor: Taking taylor expansion of (- (* (cos a) (cos b)) (* (sin a) (sin b))) in r * [misc]taylor: Taking taylor expansion of (* (cos a) (cos b)) in r * [misc]taylor: Taking taylor expansion of (cos a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]taylor: Taking taylor expansion of (cos b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in r * [misc]taylor: Taking taylor expansion of (sin a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]taylor: Taking taylor expansion of (sin b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* 0 (sin b)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin b))) into (sin b) * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (* (cos b) 1) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos b) 0) into (cos b) * [misc]backup-simplify: Simplify (* (cos a) (cos b)) into (* (cos a) (cos b)) * [misc]backup-simplify: Simplify (* (sin a) 1) into (sin a) * [misc]backup-simplify: Simplify (* (cos a) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin a) 0) into (sin a) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* (sin a) (sin b)) into (* (sin a) (sin b)) * [misc]backup-simplify: Simplify (- (* (sin a) (sin b))) into (- (* (sin a) (sin b))) * [misc]backup-simplify: Simplify (+ (* (cos a) (cos b)) (- (* (sin a) (sin b)))) into (- (* (cos a) (cos b)) (* (sin a) (sin b))) * [misc]backup-simplify: Simplify (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) into (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * [misc]taylor: Taking taylor expansion of (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) in r * [misc]taylor: Taking taylor expansion of (* r (sin b)) in r * [misc]taylor: Taking taylor expansion of r in r * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]taylor: Taking taylor expansion of (- (* (cos a) (cos b)) (* (sin a) (sin b))) in r * [misc]taylor: Taking taylor expansion of (* (cos a) (cos b)) in r * [misc]taylor: Taking taylor expansion of (cos a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]taylor: Taking taylor expansion of (cos b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in r * [misc]taylor: Taking taylor expansion of (sin a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]taylor: Taking taylor expansion of (sin b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* 0 (sin b)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin b))) into (sin b) * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (* (cos b) 1) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos b) 0) into (cos b) * [misc]backup-simplify: Simplify (* (cos a) (cos b)) into (* (cos a) (cos b)) * [misc]backup-simplify: Simplify (* (sin a) 1) into (sin a) * [misc]backup-simplify: Simplify (* (cos a) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin a) 0) into (sin a) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* (sin a) (sin b)) into (* (sin a) (sin b)) * [misc]backup-simplify: Simplify (- (* (sin a) (sin b))) into (- (* (sin a) (sin b))) * [misc]backup-simplify: Simplify (+ (* (cos a) (cos b)) (- (* (sin a) (sin b)))) into (- (* (cos a) (cos b)) (* (sin a) (sin b))) * [misc]backup-simplify: Simplify (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) into (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * [misc]taylor: Taking taylor expansion of (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) in b * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (cos a) (cos b)) (* (sin a) (sin b))) in b * [misc]taylor: Taking taylor expansion of (* (cos a) (cos b)) in b * [misc]taylor: Taking taylor expansion of (cos a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in b * [misc]taylor: Taking taylor expansion of (sin a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 1) into (sin a) * [misc]backup-simplify: Simplify (* (cos a) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin a) 0) into (sin a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (/ 1 (cos a)) into (/ 1 (cos a)) * [misc]taylor: Taking taylor expansion of (/ 1 (cos a)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 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) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 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 a) 0) (* 0 (cos b))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (* 0 (sin b))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (+ (* (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (/ 0 (- (* (cos a) (cos b)) (* (sin a) (sin b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 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 a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 1) (* 0 0)) into (sin a) * [misc]backup-simplify: Simplify (- (sin a)) into (- (sin a)) * [misc]backup-simplify: Simplify (+ 0 (- (sin a))) into (- (sin a)) * [misc]backup-simplify: Simplify (- (/ 0 (cos a)) (+ (* (/ 1 (cos a)) (/ (- (sin a)) (cos a))))) into (/ (sin a) (pow (cos a) 2)) * [misc]taylor: Taking taylor expansion of (/ (sin a) (pow (cos a) 2)) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (cos a) 2) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 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 a) 0) (+ (* 0 0) (* 0 (cos b)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (+ (* 0 0) (* 0 (sin b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (+ (* (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (/ 0 (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (* 0 (/ 0 (- (* (cos a) (cos b)) (* (sin a) (sin b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 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 a) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos a))) * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (cos a))) 0) into (- (* 1/2 (cos a))) * [misc]backup-simplify: Simplify (- (/ (- 1/6) (cos a)) (+ (* (/ 1 (cos a)) (/ (- (* 1/2 (cos a))) (cos a))) (* (/ (sin a) (pow (cos a) 2)) (/ (- (sin a)) (cos a))))) into (+ (* 1/3 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))) * [misc]taylor: Taking taylor expansion of (+ (* 1/3 (/ 1 (cos a))) (/ (pow (sin a) 2) (pow (cos a) 3))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (/ 1 (cos a))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ 1 (cos a)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 (/ (pow (sin a) 2) (pow (cos a) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (sin a) 2) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]taylor: Taking taylor expansion of (pow (cos a) 3) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [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 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/3 1) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 0) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* a (* (pow b 2) r))) (+ (* 1/3 (* 1 (* (pow b 3) r))) (* 1 (* 1 (* b r))))) into (+ (* a (* r (pow b 2))) (+ (* 1/3 (* r (pow b 3))) (* r b))) * [misc]approximate: Taking taylor expansion of (/ (* (/ 1 r) (sin (/ 1 b))) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b))))) in (r b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 r) (sin (/ 1 b))) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 r) (sin (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 r) in a * [misc]taylor: Taking taylor expansion of r in a * [misc]backup-simplify: Simplify r into r * [misc]backup-simplify: Simplify (/ 1 r) into (/ 1 r) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (/ 1 r) (sin (/ 1 b))) into (/ (sin (/ 1 b)) r) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 1) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 b)) 0) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) (sin (/ 1 b))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 b)) (sin (/ 1 a)))) into (- (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) (cos (/ 1 b))) (- (* (sin (/ 1 b)) (sin (/ 1 a))))) into (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (/ (/ (sin (/ 1 b)) r) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) into (/ (sin (/ 1 b)) (* r (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 r) (sin (/ 1 b))) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 r) (sin (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 r) in b * [misc]taylor: Taking taylor expansion of r in b * [misc]backup-simplify: Simplify r into r * [misc]backup-simplify: Simplify (/ 1 r) into (/ 1 r) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (/ 1 r) (sin (/ 1 b))) into (/ (sin (/ 1 b)) r) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 1) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 a)) 0) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 1) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 a)) 0) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) (sin (/ 1 b))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 b)) (sin (/ 1 a)))) into (- (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) (cos (/ 1 b))) (- (* (sin (/ 1 b)) (sin (/ 1 a))))) into (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (/ (/ (sin (/ 1 b)) r) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) into (/ (sin (/ 1 b)) (* r (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 r) (sin (/ 1 b))) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b))))) in r * [misc]taylor: Taking taylor expansion of (* (/ 1 r) (sin (/ 1 b))) in r * [misc]taylor: Taking taylor expansion of (/ 1 r) in r * [misc]taylor: Taking taylor expansion of r in r * [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 (sin (/ 1 b)) in r * [misc]taylor: Taking taylor expansion of (/ 1 b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))) in r * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in r * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in r * [misc]taylor: Taking taylor expansion of (/ 1 a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in r * [misc]taylor: Taking taylor expansion of (/ 1 b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in r * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in r * [misc]taylor: Taking taylor expansion of (/ 1 a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in r * [misc]taylor: Taking taylor expansion of (/ 1 b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* 1 (sin (/ 1 b))) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 1) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 a)) 0) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 1) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 b)) 0) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 1) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 a)) 0) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) (sin (/ 1 b))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 b)) (sin (/ 1 a)))) into (- (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) (cos (/ 1 b))) (- (* (sin (/ 1 b)) (sin (/ 1 a))))) into (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) into (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 r) (sin (/ 1 b))) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b))))) in r * [misc]taylor: Taking taylor expansion of (* (/ 1 r) (sin (/ 1 b))) in r * [misc]taylor: Taking taylor expansion of (/ 1 r) in r * [misc]taylor: Taking taylor expansion of r in r * [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 (sin (/ 1 b)) in r * [misc]taylor: Taking taylor expansion of (/ 1 b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))) in r * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in r * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in r * [misc]taylor: Taking taylor expansion of (/ 1 a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in r * [misc]taylor: Taking taylor expansion of (/ 1 b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in r * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in r * [misc]taylor: Taking taylor expansion of (/ 1 a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in r * [misc]taylor: Taking taylor expansion of (/ 1 b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* 1 (sin (/ 1 b))) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 1) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 a)) 0) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 1) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 b)) 0) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 1) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 a)) 0) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) (sin (/ 1 b))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 b)) (sin (/ 1 a)))) into (- (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) (cos (/ 1 b))) (- (* (sin (/ 1 b)) (sin (/ 1 a))))) into (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) into (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 b)) (sin (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 1) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 a)) 0) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 1) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 a)) 0) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) (sin (/ 1 a))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 b)) (sin (/ 1 a)))) into (- (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) (cos (/ 1 b))) (- (* (sin (/ 1 b)) (sin (/ 1 a))))) into (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) into (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 b)) (sin (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 1) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 b)) 0) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) (sin (/ 1 a))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 b)) (sin (/ 1 a)))) into (- (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) (cos (/ 1 b))) (- (* (sin (/ 1 b)) (sin (/ 1 a))))) into (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) into (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) into (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sin (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 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) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 (cos (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 (sin (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (+ (* (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 (cos (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 (sin (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (+ (* (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]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 (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 (cos (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 (sin (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (+ (* (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 (cos (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 (sin (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (+ (* (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))) (* 0 (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 (cos (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 (sin (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (+ (* (/ (sin (/ 1 b)) (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a))))) (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))) (* 0 (/ 0 (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (sin (/ 1 (/ 1 b))) (- (* (cos (/ 1 (/ 1 a))) (cos (/ 1 (/ 1 b)))) (* (sin (/ 1 (/ 1 b))) (sin (/ 1 (/ 1 a)))))) (* 1 (* 1 (/ 1 (/ 1 r))))) into (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) * [misc]approximate: Taking taylor expansion of (/ (* (/ 1 (- r)) (sin (/ 1 (- b)))) (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))))) in (r b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- r)) (sin (/ 1 (- b)))) (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (* (/ 1 (- r)) (sin (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- r)) in a * [misc]taylor: Taking taylor expansion of (- r) in a * [misc]taylor: Taking taylor expansion of r in a * [misc]backup-simplify: Simplify r into r * [misc]backup-simplify: Simplify (- r) into (- r) * [misc]backup-simplify: Simplify (- r) into (- r) * [misc]backup-simplify: Simplify (/ 1 (- r)) into (/ -1 r) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (/ -1 r) (sin (/ -1 b))) into (* -1 (/ (sin (/ -1 b)) r)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 1) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 b)) 0) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 a)) (sin (/ -1 b)))) into (- (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (- (* (sin (/ -1 a)) (sin (/ -1 b))))) into (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (/ (* -1 (/ (sin (/ -1 b)) r)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) into (* -1 (/ (sin (/ -1 b)) (* r (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))))) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- r)) (sin (/ 1 (- b)))) (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of (* (/ 1 (- r)) (sin (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- r)) in b * [misc]taylor: Taking taylor expansion of (- r) in b * [misc]taylor: Taking taylor expansion of r in b * [misc]backup-simplify: Simplify r into r * [misc]backup-simplify: Simplify (- r) into (- r) * [misc]backup-simplify: Simplify (- r) into (- r) * [misc]backup-simplify: Simplify (/ 1 (- r)) into (/ -1 r) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- b))) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (/ -1 r) (sin (/ -1 b))) into (* -1 (/ (sin (/ -1 b)) r)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 1) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 a)) 0) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 1) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 a)) 0) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 a)) (sin (/ -1 b)))) into (- (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (- (* (sin (/ -1 a)) (sin (/ -1 b))))) into (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (/ (* -1 (/ (sin (/ -1 b)) r)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) into (* -1 (/ (sin (/ -1 b)) (* r (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))))) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- r)) (sin (/ 1 (- b)))) (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))))) in r * [misc]taylor: Taking taylor expansion of (* (/ 1 (- r)) (sin (/ 1 (- b)))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- r)) in r * [misc]taylor: Taking taylor expansion of (- r) in r * [misc]taylor: Taking taylor expansion of r in r * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- b))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in r * [misc]taylor: Taking taylor expansion of (- b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))) in r * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) in r * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in r * [misc]taylor: Taking taylor expansion of (- a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in r * [misc]taylor: Taking taylor expansion of (- b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in r * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in r * [misc]taylor: Taking taylor expansion of (- a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in r * [misc]taylor: Taking taylor expansion of (- b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* -1 (sin (/ -1 b))) into (* -1 (sin (/ -1 b))) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 1) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 a)) 0) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 1) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 b)) 0) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 1) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 a)) 0) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 a)) (sin (/ -1 b)))) into (- (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (- (* (sin (/ -1 a)) (sin (/ -1 b))))) into (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (/ (* -1 (sin (/ -1 b))) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) into (* -1 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- r)) (sin (/ 1 (- b)))) (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))))) in r * [misc]taylor: Taking taylor expansion of (* (/ 1 (- r)) (sin (/ 1 (- b)))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- r)) in r * [misc]taylor: Taking taylor expansion of (- r) in r * [misc]taylor: Taking taylor expansion of r in r * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- b))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in r * [misc]taylor: Taking taylor expansion of (- b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))) in r * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) in r * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in r * [misc]taylor: Taking taylor expansion of (- a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in r * [misc]taylor: Taking taylor expansion of (- b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in r * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in r * [misc]taylor: Taking taylor expansion of (- a) in r * [misc]taylor: Taking taylor expansion of a in r * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in r * [misc]taylor: Taking taylor expansion of (- b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* -1 (sin (/ -1 b))) into (* -1 (sin (/ -1 b))) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 1) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 a)) 0) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 1) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 b)) 0) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 1) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 a)) 0) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 a)) (sin (/ -1 b)))) into (- (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (- (* (sin (/ -1 a)) (sin (/ -1 b))))) into (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (/ (* -1 (sin (/ -1 b))) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) into (* -1 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) in b * [misc]taylor: Taking taylor expansion of (sin (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 a)) (cos (/ -1 b))) in b * [misc]taylor: Taking taylor expansion of (cos (/ -1 a)) in b * [misc]taylor: Taking taylor expansion of (/ -1 a) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ -1 a) into (/ -1 a) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 a)) (sin (/ -1 b))) in b * [misc]taylor: Taking taylor expansion of (sin (/ -1 a)) in b * [misc]taylor: Taking taylor expansion of (/ -1 a) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ -1 a) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 1) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 a)) 0) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 1) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 a)) 0) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 a)) (sin (/ -1 b)))) into (- (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (- (* (sin (/ -1 a)) (sin (/ -1 b))))) into (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) into (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) * [misc]backup-simplify: Simplify (* -1 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) into (* -1 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) in a * [misc]taylor: Taking taylor expansion of (sin (/ -1 b)) in a * [misc]taylor: Taking taylor expansion of (/ -1 b) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1 b) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 a)) (cos (/ -1 b))) in a * [misc]taylor: Taking taylor expansion of (cos (/ -1 a)) in a * [misc]taylor: Taking taylor expansion of (/ -1 a) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ -1 b)) in a * [misc]taylor: Taking taylor expansion of (/ -1 b) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1 b) into (/ -1 b) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 a)) (sin (/ -1 b))) in a * [misc]taylor: Taking taylor expansion of (sin (/ -1 a)) in a * [misc]taylor: Taking taylor expansion of (/ -1 a) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 b)) in a * [misc]taylor: Taking taylor expansion of (/ -1 b) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1 b) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 1) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 b)) 0) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 a)) (sin (/ -1 b)))) into (- (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (- (* (sin (/ -1 a)) (sin (/ -1 b))))) into (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) into (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) * [misc]backup-simplify: Simplify (* -1 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) into (* -1 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) * [misc]backup-simplify: Simplify (* -1 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) into (* -1 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (sin (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 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) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 (cos (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 (sin (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (+ (* (* -1 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 (cos (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 (sin (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (+ (* (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]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 (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 (cos (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 (sin (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (+ (* (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (sin (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 (cos (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 (sin (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (+ (* (* -1 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) (* 0 (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 (cos (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 (sin (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (+ (* (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) (* 0 (/ 0 (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (sin (/ -1 b)) (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (/ (sin (/ -1 (/ 1 (- b)))) (- (* (cos (/ -1 (/ 1 (- a)))) (cos (/ -1 (/ 1 (- b))))) (* (sin (/ -1 (/ 1 (- a)))) (sin (/ -1 (/ 1 (- b)))))))) (* 1 (* 1 (/ 1 (/ 1 (- r)))))) into (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (- (* (cos a) (cos b)) (* (sin a) (sin b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (cos a) (cos b)) (* (sin a) (sin b))) in b * [misc]taylor: Taking taylor expansion of (* (cos a) (cos b)) in b * [misc]taylor: Taking taylor expansion of (cos a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in b * [misc]taylor: Taking taylor expansion of (sin a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* (cos a) (cos b)) (* (sin a) (sin b))) in a * [misc]taylor: Taking taylor expansion of (* (cos a) (cos b)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]taylor: Taking taylor expansion of (- (* (cos a) (cos b)) (* (sin a) (sin b))) in a * [misc]taylor: Taking taylor expansion of (* (cos a) (cos b)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (* (cos b) 1) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos b) 0) into (cos b) * [misc]backup-simplify: Simplify (* 1 (cos b)) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* 0 (sin b)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos b) 0) into (cos b) * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 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) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos b))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin b))) into (sin b) * [misc]backup-simplify: Simplify (- (sin b)) into (- (sin b)) * [misc]backup-simplify: Simplify (+ 0 (- (sin b))) into (- (sin b)) * [misc]taylor: Taking taylor expansion of (- (sin b)) in b * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (cos b)))) into (- (* 1/2 (cos b))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/2 (cos b))) 0) into (- (* 1/2 (cos b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (cos b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (cos b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* b a)) (+ (* -1/2 (pow (* 1 a) 2)) 1)) into (- 1 (+ (* 1/2 (pow a 2)) (* a b))) * [misc]approximate: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 a)) (sin (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 1) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 b)) 0) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) (sin (/ 1 b))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 b)) (sin (/ 1 a)))) into (- (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) (cos (/ 1 b))) (- (* (sin (/ 1 b)) (sin (/ 1 a))))) into (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 b)) (sin (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 1) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 a)) 0) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 1) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 a)) 0) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) (sin (/ 1 a))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (* (sin (/ 1 b)) (sin (/ 1 a)))) into (- (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) (cos (/ 1 b))) (- (* (sin (/ 1 b)) (sin (/ 1 a))))) into (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) into (- (* (cos (/ 1 a)) (cos (/ 1 b))) (* (sin (/ 1 b)) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 (cos (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 (sin (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 (cos (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 (sin (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 (cos (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 (sin (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 (cos (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 (sin (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (* (cos (/ 1 (/ 1 a))) (cos (/ 1 (/ 1 b)))) (* (sin (/ 1 (/ 1 b))) (sin (/ 1 (/ 1 a))))) into (- (* (cos a) (cos b)) (* (sin b) (sin a))) * [misc]approximate: Taking taylor expansion of (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- b))) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) (* (sin (/ 1 (- a))) (sin (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 1) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 b)) 0) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 a)) (sin (/ -1 b)))) into (- (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (- (* (sin (/ -1 a)) (sin (/ -1 b))))) into (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]taylor: Taking taylor expansion of (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 a)) (cos (/ -1 b))) in b * [misc]taylor: Taking taylor expansion of (cos (/ -1 a)) in b * [misc]taylor: Taking taylor expansion of (/ -1 a) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ -1 a) into (/ -1 a) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 a)) (sin (/ -1 b))) in b * [misc]taylor: Taking taylor expansion of (sin (/ -1 a)) in b * [misc]taylor: Taking taylor expansion of (/ -1 a) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ -1 a) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 1) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 a)) 0) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 1) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 a)) 0) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (- (* (sin (/ -1 a)) (sin (/ -1 b)))) into (- (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (- (* (sin (/ -1 a)) (sin (/ -1 b))))) into (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) into (- (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 (cos (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 (sin (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 (cos (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 (sin (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 (cos (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 (sin (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 (cos (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 (sin (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (* (cos (/ -1 (/ 1 (- a)))) (cos (/ -1 (/ 1 (- b))))) (* (sin (/ -1 (/ 1 (- a)))) (sin (/ -1 (/ 1 (- b)))))) into (- (* (cos a) (cos b)) (* (sin a) (sin b))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* r (sin b)) in (r b) around 0 * [misc]taylor: Taking taylor expansion of (* r (sin b)) in b * [misc]taylor: Taking taylor expansion of r in b * [misc]backup-simplify: Simplify r into r * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* r (sin b)) in r * [misc]taylor: Taking taylor expansion of r in r * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]taylor: Taking taylor expansion of (* r (sin b)) in r * [misc]taylor: Taking taylor expansion of r in r * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* 0 (sin b)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]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 b) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin b))) into (sin b) * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (* b r)) into (* r b) * [misc]approximate: Taking taylor expansion of (* (/ 1 r) (sin (/ 1 b))) in (r b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 r) (sin (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 r) in b * [misc]taylor: Taking taylor expansion of r in b * [misc]backup-simplify: Simplify r into r * [misc]backup-simplify: Simplify (/ 1 r) into (/ 1 r) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 r) (sin (/ 1 b))) in r * [misc]taylor: Taking taylor expansion of (/ 1 r) in r * [misc]taylor: Taking taylor expansion of r in r * [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 (sin (/ 1 b)) in r * [misc]taylor: Taking taylor expansion of (/ 1 b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 r) (sin (/ 1 b))) in r * [misc]taylor: Taking taylor expansion of (/ 1 r) in r * [misc]taylor: Taking taylor expansion of r in r * [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 (sin (/ 1 b)) in r * [misc]taylor: Taking taylor expansion of (/ 1 b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* 1 (sin (/ 1 b))) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sin (/ 1 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ 1 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (sin (/ 1 b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 (/ 1 b))) (* 1 (/ 1 (/ 1 r)))) into (* (sin b) r) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- r)) (sin (/ 1 (- b)))) in (r b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- r)) (sin (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- r)) in b * [misc]taylor: Taking taylor expansion of (- r) in b * [misc]taylor: Taking taylor expansion of r in b * [misc]backup-simplify: Simplify r into r * [misc]backup-simplify: Simplify (- r) into (- r) * [misc]backup-simplify: Simplify (- r) into (- r) * [misc]backup-simplify: Simplify (/ 1 (- r)) into (/ -1 r) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- r)) (sin (/ 1 (- b)))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- r)) in r * [misc]taylor: Taking taylor expansion of (- r) in r * [misc]taylor: Taking taylor expansion of r in r * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- b))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in r * [misc]taylor: Taking taylor expansion of (- b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- r)) (sin (/ 1 (- b)))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- r)) in r * [misc]taylor: Taking taylor expansion of (- r) in r * [misc]taylor: Taking taylor expansion of r in r * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (sin (/ 1 (- b))) in r * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in r * [misc]taylor: Taking taylor expansion of (- b) in r * [misc]taylor: Taking taylor expansion of b in r * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* -1 (sin (/ -1 b))) into (* -1 (sin (/ -1 b))) * [misc]taylor: Taking taylor expansion of (* -1 (sin (/ -1 b))) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (sin (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* -1 (sin (/ -1 b))) into (* -1 (sin (/ -1 b))) * [misc]backup-simplify: Simplify (* -1 (sin (/ -1 b))) into (* -1 (sin (/ -1 b))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (sin (/ -1 b)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (sin (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (sin (/ -1 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]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 (sin (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (sin (/ -1 (/ 1 (- b))))) (* 1 (/ 1 (/ 1 (- r))))) into (* (sin b) r) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- a b)) (cos (+ a b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- (cos (- a b)) (cos (+ b a))) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (/ (* r (sin b)) (- (* (cos a) (cos b)) (/ (- (cos (- a b)) (cos (+ b a))) 2)))) * * * * [misc]progress: [ 2 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin a) (sin b)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin b) (sin a)) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (/ (* r (sin b)) (- (* (cos a) (cos b)) (pow (* (sin b) (sin a)) 1)))) * * * * [misc]progress: [ 3 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin a)) (log (sin b))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ (log (sin b)) (log (sin a))) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (/ (* r (sin b)) (- (* (cos a) (cos b)) (exp (+ (log (sin b)) (log (sin a))))))) * * * * [misc]progress: [ 5 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin a) (sin a)) (sin a)) (* (* (sin b) (sin b)) (sin b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (pow (* (sin b) (sin a)) 3) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (/ (* r (sin b)) (- (* (cos a) (cos b)) (cbrt (pow (* (sin b) (sin a)) 3))))) * * * * [misc]progress: [ 8 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin b)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sin b)) * [misc]simplify: Simplified (2 2 2 2) to (λ (r a b) (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (* (sin a) (* (cbrt (sin b)) (cbrt (sin b)))) (cbrt (sin b)))))) * * * * [misc]progress: [ 13 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin b)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin b)) * [misc]simplify: Simplified (2 2 2 2) to (λ (r a b) (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (* (sin a) (sqrt (sin b))) (sqrt (sin b)))))) * * * * [misc]progress: [ 14 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sin b) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin b) * [misc]simplify: Simplified (2 2 2 2) to (λ (r a b) (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (* (sin a) 1) (sin b))))) * * * * [misc]progress: [ 15 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin a)) (cbrt (sin a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (sin a)) (cbrt (sin a))) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (* (cbrt (sin a)) (cbrt (sin a))) (* (cbrt (sin a)) (sin b)))))) * * * * [misc]progress: [ 16 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin a)) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sqrt (sin a)) (* (sqrt (sin a)) (sin b)))))) * * * * [misc]progress: [ 17 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* r (sin b))) (log (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (- (log (* r (sin b))) (log (- (* (cos b) (cos a)) (* (sin b) (sin a))))) * [misc]simplify: Simplified (2 1) to (λ (r a b) (exp (- (log (* r (sin b))) (log (- (* (cos b) (cos a)) (* (sin b) (sin a))))))) * * * * [misc]progress: [ 21 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* r (sin b)) (* r (sin b))) (* r (sin b))) (* (* (- (* (cos a) (cos b)) (* (sin a) (sin b))) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * [exit]simplify: Simplified to (pow (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) 3) * [misc]simplify: Simplified (2 1) to (λ (r a b) (cbrt (pow (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) 3))) * * * * [misc]progress: [ 24 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ r (* (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * [exit]simplify: Simplified to (/ r (* (cbrt (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (cbrt (- (* (cos b) (cos a)) (* (sin b) (sin a)))))) * [misc]simplify: Simplified (2 1) to (λ (r a b) (* (/ r (* (cbrt (- (* (cos b) (cos a)) (* (sin b) (sin a)))) (cbrt (- (* (cos b) (cos a)) (* (sin b) (sin a)))))) (/ (sin b) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))))) * [enter]simplify: Simplifying (/ (sin b) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sin b) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (/ r (* (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) (/ (sin b) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))))) * * * * [misc]progress: [ 29 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ r (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ r (sqrt (- (* (cos b) (cos a)) (* (sin b) (sin a))))) * [misc]simplify: Simplified (2 1) to (λ (r a b) (* (/ r (sqrt (- (* (cos b) (cos a)) (* (sin b) (sin a))))) (/ (sin b) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))))) * [enter]simplify: Simplifying (/ (sin b) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sin b) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (/ r (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (/ (sin b) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))))) * * * * [misc]progress: [ 30 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ r 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to r * [misc]simplify: Simplified (2 1) to (λ (r a b) (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) * [enter]simplify: Simplifying (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) * * * * [misc]progress: [ 31 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (cbrt (- (* (cos b) (cos a)) (* (sin a) (sin b)))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (/ (/ (* r (sin b)) (* (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))) (cbrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))))) (cbrt (- (* (cos b) (cos a)) (* (sin a) (sin b)))))) * * * * [misc]progress: [ 35 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (sqrt (- (* (cos b) (cos a)) (* (sin a) (sin b)))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (/ (/ (* r (sin b)) (sqrt (- (* (cos a) (cos b)) (* (sin a) (sin b))))) (sqrt (- (* (cos b) (cos a)) (* (sin a) (sin b)))))) * * * * [misc]progress: [ 36 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cos a) (cos b)) (* (sin a) (sin b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (- (* (cos b) (cos a)) (* (sin a) (sin b))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (/ (/ (* r (sin b)) 1) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) * * * * [misc]progress: [ 37 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* 2 2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (/ (* r (sin b)) (- (* (+ (cos (+ a b)) (cos (- a b))) 2) (* 2 (- (cos (- a b)) (cos (+ a b)))))) 4)) * * * * [misc]progress: [ 40 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (cos a) (cos b)) (* (cos a) (cos b))) (+ (* (* (sin a) (sin b)) (* (sin a) (sin b))) (* (* (cos a) (cos b)) (* (sin a) (sin b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (/ (* r (sin b)) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 41 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cos a) (cos b)) (* (sin a) (sin b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (+ (* (sin a) (sin b)) (* (cos b) (cos a))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (* (/ (* r (sin b)) (- (* (* (cos a) (cos b)) (* (cos a) (cos b))) (* (* (sin a) (sin b)) (* (sin a) (sin b))))) (+ (* (sin a) (sin b)) (* (cos b) (cos a))))) * * * * [misc]progress: [ 42 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* (cos a) (cos b))) (exp (* (sin a) (sin b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (exp (- (* (cos b) (cos a)) (* (sin b) (sin a)))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (/ (* r (sin b)) (log (exp (- (* (cos b) (cos a)) (* (sin b) (sin a))))))) * * * * [misc]progress: [ 43 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (cos (+ a b)) (cos (- a b))) (- (cos (- a b)) (cos (+ a b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * [exit]simplify: Simplified to (+ (cos (+ b a)) (cos (+ b a))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (/ (* r (sin b)) (/ (+ (cos (+ b a)) (cos (+ b a))) 2))) * * * * [misc]progress: [ 50 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (cos (+ a b)) (cos (- a b))) 2) (* 2 (- (cos (- a b)) (cos (+ a b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (* (cos (+ b a)) 4) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (/ (* r (sin b)) (/ (* (cos (+ b a)) 4) (* 2 2)))) * [enter]simplify: Simplifying (* 2 2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (/ (* r (sin b)) (/ (* (cos (+ b a)) 4) 4))) * * * * [misc]progress: [ 51 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin b)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sin b)) * [misc]simplify: Simplified (2 1 2) to (λ (r a b) (/ (* (* r (* (cbrt (sin b)) (cbrt (sin b)))) (cbrt (sin b))) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * * * [misc]progress: [ 64 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin b)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin b)) * [misc]simplify: Simplified (2 1 2) to (λ (r a b) (/ (* (* r (sqrt (sin b))) (sqrt (sin b))) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * * * [misc]progress: [ 65 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (sin b) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin b) * [misc]simplify: Simplified (2 1 2) to (λ (r a b) (/ (* (* r 1) (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * * * [misc]progress: [ 66 / 78 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* a b) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (/ (* r (sin b)) (- (* (cos a) (cos b)) (* a b)))) * * * * [misc]progress: [ 68 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin b) (sin a)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin a) (sin b)) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * * * [misc]progress: [ 69 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin a) (sin b)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin b) (sin a)) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin b) (sin a))))) * * * * [misc]progress: [ 70 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a (* r (pow b 2))) (+ (* 1/3 (* r (pow b 3))) (* r b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (+ (* (* r (* b b)) (+ a (* 1/3 b))) (* b r)) * [misc]simplify: Simplified (2) to (λ (r a b) (+ (* (* r (* b b)) (+ a (* 1/3 b))) (* b r))) * * * * [misc]progress: [ 71 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin b) (sin a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * [misc]simplify: Simplified (2) to (λ (r a b) (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * * * [misc]progress: [ 72 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin b) r) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b)))) * [misc]simplify: Simplified (2) to (λ (r a b) (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * * * [misc]progress: [ 73 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* 1/2 (pow a 2)) (* a b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (+ (- 1 (* b a)) (* (* a -1/2) a)) * [misc]simplify: Simplified (2 2) to (λ (r a b) (/ (* r (sin b)) (+ (- 1 (* b a)) (* (* a -1/2) a)))) * * * * [misc]progress: [ 74 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cos a) (cos b)) (* (sin b) (sin a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (- (* (cos b) (cos a)) (* (sin b) (sin a))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin b) (sin a))))) * * * * [misc]progress: [ 75 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cos a) (cos b)) (* (sin a) (sin b))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (- (* (cos b) (cos a)) (* (sin a) (sin b))) * [misc]simplify: Simplified (2 2) to (λ (r a b) (/ (* r (sin b)) (- (* (cos b) (cos a)) (* (sin a) (sin b))))) * * * * [misc]progress: [ 76 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* r b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* r b) * [misc]simplify: Simplified (2 1) to (λ (r a b) (/ (* r b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * * * [misc]progress: [ 77 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin b) r) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* r (sin b)) * [misc]simplify: Simplified (2 1) to (λ (r a b) (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * * * [misc]progress: [ 78 / 78 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin b) r) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* r (sin b)) * [misc]simplify: Simplified (2 1) to (λ (r a b) (/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))) * * * [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 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2 1) * [misc]approximate: Taking taylor expansion of (pow (* (cos a) (cos b)) 3) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (pow (* (cos a) (cos b)) 3) in b * [misc]taylor: Taking taylor expansion of (* (cos a) (cos b)) in b * [misc]taylor: Taking taylor expansion of (cos a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]taylor: Taking taylor expansion of (pow (* (cos a) (cos b)) 3) in a * [misc]taylor: Taking taylor expansion of (* (cos a) (cos b)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 1) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos b) 0) into (cos b) * [misc]backup-simplify: Simplify (* 1 (cos b)) into (cos b) * [misc]taylor: Taking taylor expansion of (pow (* (cos a) (cos b)) 3) in a * [misc]taylor: Taking taylor expansion of (* (cos a) (cos b)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 1) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos b) 0) into (cos b) * [misc]backup-simplify: Simplify (* 1 (cos b)) into (cos b) * [misc]backup-simplify: Simplify (* (cos b) (cos b)) into (pow (cos b) 2) * [misc]backup-simplify: Simplify (* (cos b) (pow (cos b) 2)) into (pow (cos b) 3) * [misc]taylor: Taking taylor expansion of (pow (cos b) 3) in b * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (+ (* (cos b) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 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) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos b))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (* 0 (cos b))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (* 0 (pow (cos b) 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]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 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) 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 b) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (cos b)))) into (- (* 1/2 (cos b))) * [misc]backup-simplify: Simplify (+ (* (cos b) (- (* 1/2 (cos b)))) (+ (* 0 0) (* (- (* 1/2 (cos b))) (cos b)))) into (- (pow (cos b) 2)) * [misc]backup-simplify: Simplify (+ (* (cos b) (- (pow (cos b) 2))) (+ (* 0 0) (* (- (* 1/2 (cos b))) (pow (cos b) 2)))) into (- (* 3/2 (pow (cos b) 3))) * [misc]taylor: Taking taylor expansion of (- (* 3/2 (pow (cos b) 3))) in b * [misc]taylor: Taking taylor expansion of (* 3/2 (pow (cos b) 3)) in b * [misc]taylor: Taking taylor expansion of 3/2 in b * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]taylor: Taking taylor expansion of (pow (cos b) 3) in b * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [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 (* 3/2 1) into 3/2 * [misc]backup-simplify: Simplify (- 3/2) into -3/2 * [misc]backup-simplify: Simplify -3/2 into -3/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 (- 1/2)) (+ (* 0 0) (* (- 1/2) 1))) into -1 * [misc]backup-simplify: Simplify (+ (* 1 -1) (+ (* 0 0) (* (- 1/2) 1))) into -3/2 * [misc]backup-simplify: Simplify -3/2 into -3/2 * [misc]backup-simplify: Simplify (+ (* -3/2 (pow (* b 1) 2)) (+ (* -3/2 (pow (* 1 a) 2)) 1)) into (- 1 (+ (* 3/2 (pow a 2)) (* 3/2 (pow b 2)))) * [misc]approximate: Taking taylor expansion of (pow (* (cos (/ 1 a)) (cos (/ 1 b))) 3) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (pow (* (cos (/ 1 a)) (cos (/ 1 b))) 3) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 1) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 a)) 0) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]taylor: Taking taylor expansion of (pow (* (cos (/ 1 a)) (cos (/ 1 b))) 3) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 1) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 b)) 0) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]taylor: Taking taylor expansion of (pow (* (cos (/ 1 a)) (cos (/ 1 b))) 3) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 1) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 b)) 0) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (* (cos (/ 1 a)) (cos (/ 1 b))) (* (cos (/ 1 a)) (cos (/ 1 b)))) into (* (pow (cos (/ 1 a)) 2) (pow (cos (/ 1 b)) 2)) * [misc]backup-simplify: Simplify (* (* (cos (/ 1 a)) (cos (/ 1 b))) (* (pow (cos (/ 1 a)) 2) (pow (cos (/ 1 b)) 2))) into (* (pow (cos (/ 1 a)) 3) (pow (cos (/ 1 b)) 3)) * [misc]taylor: Taking taylor expansion of (* (pow (cos (/ 1 a)) 3) (pow (cos (/ 1 b)) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 a)) 3) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 1) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 a)) 0) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 b)) 3) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 a))) into (pow (cos (/ 1 a)) 2) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (pow (cos (/ 1 a)) 2)) into (pow (cos (/ 1 a)) 3) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) (cos (/ 1 b))) into (pow (cos (/ 1 b)) 2) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) (pow (cos (/ 1 b)) 2)) into (pow (cos (/ 1 b)) 3) * [misc]backup-simplify: Simplify (* (pow (cos (/ 1 a)) 3) (pow (cos (/ 1 b)) 3)) into (* (pow (cos (/ 1 a)) 3) (pow (cos (/ 1 b)) 3)) * [misc]backup-simplify: Simplify (* (pow (cos (/ 1 a)) 3) (pow (cos (/ 1 b)) 3)) into (* (pow (cos (/ 1 a)) 3) (pow (cos (/ 1 b)) 3)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 (cos (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (cos (/ 1 a)) (cos (/ 1 b))) 0) (* 0 (* (cos (/ 1 a)) (cos (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (cos (/ 1 a)) (cos (/ 1 b))) 0) (* 0 (* (pow (cos (/ 1 a)) 2) (pow (cos (/ 1 b)) 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 (cos (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 (pow (cos (/ 1 b)) 2))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 (cos (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 (pow (cos (/ 1 a)) 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ 1 a)) 3) 0) (* 0 (pow (cos (/ 1 b)) 3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 (cos (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (cos (/ 1 a)) (cos (/ 1 b))) 0) (+ (* 0 0) (* 0 (* (cos (/ 1 a)) (cos (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (cos (/ 1 a)) (cos (/ 1 b))) 0) (+ (* 0 0) (* 0 (* (pow (cos (/ 1 a)) 2) (pow (cos (/ 1 b)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 (cos (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 b)) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 (cos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 a)) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ 1 a)) 3) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 b)) 3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (cos (/ 1 a)) (cos (/ 1 b))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 a)) (cos (/ 1 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (cos (/ 1 a)) (cos (/ 1 b))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (cos (/ 1 a)) 2) (pow (cos (/ 1 b)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow (cos (/ 1 (/ 1 a))) 3) (pow (cos (/ 1 (/ 1 b))) 3)) into (* (pow (cos a) 3) (pow (cos b) 3)) * [misc]approximate: Taking taylor expansion of (pow (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) 3) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (pow (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) 3) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- b))) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 1) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 a)) 0) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]taylor: Taking taylor expansion of (pow (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) 3) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 1) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 b)) 0) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]taylor: Taking taylor expansion of (pow (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) 3) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- a))) (cos (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 1) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 b)) 0) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (* (cos (/ -1 a)) (cos (/ -1 b))) (* (cos (/ -1 a)) (cos (/ -1 b)))) into (* (pow (cos (/ -1 a)) 2) (pow (cos (/ -1 b)) 2)) * [misc]backup-simplify: Simplify (* (* (cos (/ -1 a)) (cos (/ -1 b))) (* (pow (cos (/ -1 a)) 2) (pow (cos (/ -1 b)) 2))) into (* (pow (cos (/ -1 a)) 3) (pow (cos (/ -1 b)) 3)) * [misc]taylor: Taking taylor expansion of (* (pow (cos (/ -1 a)) 3) (pow (cos (/ -1 b)) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1 a)) 3) in b * [misc]taylor: Taking taylor expansion of (cos (/ -1 a)) in b * [misc]taylor: Taking taylor expansion of (/ -1 a) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ -1 a) into (/ -1 a) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 1) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 a)) 0) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1 b)) 3) in b * [misc]taylor: Taking taylor expansion of (cos (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 a))) into (pow (cos (/ -1 a)) 2) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (pow (cos (/ -1 a)) 2)) into (pow (cos (/ -1 a)) 3) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) (cos (/ -1 b))) into (pow (cos (/ -1 b)) 2) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) (pow (cos (/ -1 b)) 2)) into (pow (cos (/ -1 b)) 3) * [misc]backup-simplify: Simplify (* (pow (cos (/ -1 a)) 3) (pow (cos (/ -1 b)) 3)) into (* (pow (cos (/ -1 a)) 3) (pow (cos (/ -1 b)) 3)) * [misc]backup-simplify: Simplify (* (pow (cos (/ -1 a)) 3) (pow (cos (/ -1 b)) 3)) into (* (pow (cos (/ -1 a)) 3) (pow (cos (/ -1 b)) 3)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 (cos (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (cos (/ -1 a)) (cos (/ -1 b))) 0) (* 0 (* (cos (/ -1 a)) (cos (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (cos (/ -1 a)) (cos (/ -1 b))) 0) (* 0 (* (pow (cos (/ -1 a)) 2) (pow (cos (/ -1 b)) 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 (cos (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 (pow (cos (/ -1 b)) 2))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 (cos (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 (pow (cos (/ -1 a)) 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1 a)) 3) 0) (* 0 (pow (cos (/ -1 b)) 3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 (cos (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (cos (/ -1 a)) (cos (/ -1 b))) 0) (+ (* 0 0) (* 0 (* (cos (/ -1 a)) (cos (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (cos (/ -1 a)) (cos (/ -1 b))) 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1 a)) 2) (pow (cos (/ -1 b)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 (cos (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 b)) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 (cos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 a)) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1 a)) 3) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 b)) 3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (cos (/ -1 a)) (cos (/ -1 b))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ -1 a)) (cos (/ -1 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (cos (/ -1 a)) (cos (/ -1 b))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (cos (/ -1 a)) 2) (pow (cos (/ -1 b)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow (cos (/ -1 (/ 1 (- a)))) 3) (pow (cos (/ -1 (/ 1 (- b)))) 3)) into (* (pow (cos a) 3) (pow (cos b) 3)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (* (cos b) (cos a)) (* (cos b) (cos a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (cos b) (cos a)) (* (cos b) (cos a))) in a * [misc]taylor: Taking taylor expansion of (* (cos b) (cos a)) in a * [misc]taylor: Taking taylor expansion of (cos b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (cos b) (cos a)) in a * [misc]taylor: Taking taylor expansion of (cos b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (cos b) (cos a)) (* (cos b) (cos a))) in b * [misc]taylor: Taking taylor expansion of (* (cos b) (cos a)) in b * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]taylor: Taking taylor expansion of (* (cos b) (cos a)) in b * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]taylor: Taking taylor expansion of (* (* (cos b) (cos a)) (* (cos b) (cos a))) in b * [misc]taylor: Taking taylor expansion of (* (cos b) (cos a)) in b * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]taylor: Taking taylor expansion of (* (cos b) (cos a)) in b * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (* 1 (cos a)) into (cos a) * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (* 1 (cos a)) into (cos a) * [misc]backup-simplify: Simplify (* (cos a) (cos a)) into (pow (cos a) 2) * [misc]taylor: Taking taylor expansion of (pow (cos a) 2) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 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) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos a))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 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) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos a))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (* 0 (cos a))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]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 1)) 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 a) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (cos a)))) into (- (* 1/2 (cos a))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (cos a)))) into (- (* 1/2 (cos a))) * [misc]backup-simplify: Simplify (+ (* (cos a) (- (* 1/2 (cos a)))) (+ (* 0 0) (* (- (* 1/2 (cos a))) (cos a)))) into (- (pow (cos a) 2)) * [misc]taylor: Taking taylor expansion of (- (pow (cos a) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (cos a) 2) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 (- 1/2)) (+ (* 0 0) (* (- 1/2) 1))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (pow (* a 1) 2)) (+ (* -1 (pow (* 1 b) 2)) 1)) into (- 1 (+ (pow a 2) (pow b 2))) * [misc]approximate: Taking taylor expansion of (* (* (cos (/ 1 b)) (cos (/ 1 a))) (* (cos (/ 1 b)) (cos (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (cos (/ 1 b)) (cos (/ 1 a))) (* (cos (/ 1 b)) (cos (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 b)) (cos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 b)) (cos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (* (cos (/ 1 b)) (cos (/ 1 a))) (* (cos (/ 1 b)) (cos (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 b)) (cos (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 b)) (cos (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (* (cos (/ 1 b)) (cos (/ 1 a))) (* (cos (/ 1 b)) (cos (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 b)) (cos (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 b)) (cos (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 1) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 a)) 0) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) (cos (/ 1 a))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 1) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 a)) 0) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) (cos (/ 1 a))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (* (* (cos (/ 1 a)) (cos (/ 1 b))) (* (cos (/ 1 a)) (cos (/ 1 b)))) into (* (pow (cos (/ 1 a)) 2) (pow (cos (/ 1 b)) 2)) * [misc]taylor: Taking taylor expansion of (* (pow (cos (/ 1 a)) 2) (pow (cos (/ 1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 1) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 b)) 0) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 a))) into (pow (cos (/ 1 a)) 2) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) (cos (/ 1 b))) into (pow (cos (/ 1 b)) 2) * [misc]backup-simplify: Simplify (* (pow (cos (/ 1 a)) 2) (pow (cos (/ 1 b)) 2)) into (* (pow (cos (/ 1 a)) 2) (pow (cos (/ 1 b)) 2)) * [misc]backup-simplify: Simplify (* (pow (cos (/ 1 a)) 2) (pow (cos (/ 1 b)) 2)) into (* (pow (cos (/ 1 a)) 2) (pow (cos (/ 1 b)) 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 (cos (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 (cos (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (cos (/ 1 a)) (cos (/ 1 b))) 0) (* 0 (* (cos (/ 1 a)) (cos (/ 1 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 (cos (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 (cos (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ 1 a)) 2) 0) (* 0 (pow (cos (/ 1 b)) 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 (cos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 (cos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (cos (/ 1 a)) (cos (/ 1 b))) 0) (+ (* 0 0) (* 0 (* (cos (/ 1 a)) (cos (/ 1 b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 (cos (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 (cos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ 1 a)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ 1 b)) 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (cos (/ 1 a)) (cos (/ 1 b))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 a)) (cos (/ 1 b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow (cos (/ 1 (/ 1 a))) 2) (pow (cos (/ 1 (/ 1 b))) 2)) into (* (pow (cos a) 2) (pow (cos b) 2)) * [misc]approximate: Taking taylor expansion of (* (* (cos (/ 1 (- b))) (cos (/ 1 (- a)))) (* (cos (/ 1 (- b))) (cos (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (cos (/ 1 (- b))) (cos (/ 1 (- a)))) (* (cos (/ 1 (- b))) (cos (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- b))) (cos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- b))) (cos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (* (cos (/ 1 (- b))) (cos (/ 1 (- a)))) (* (cos (/ 1 (- b))) (cos (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- b))) (cos (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- b))) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- b))) (cos (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- b))) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (* (cos (/ 1 (- b))) (cos (/ 1 (- a)))) (* (cos (/ 1 (- b))) (cos (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- b))) (cos (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- b))) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- b))) (cos (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- b))) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 1) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 a)) 0) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) (cos (/ -1 a))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 1) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 a)) 0) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) (cos (/ -1 a))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (* (cos (/ -1 a)) (cos (/ -1 b))) (* (cos (/ -1 a)) (cos (/ -1 b)))) into (* (pow (cos (/ -1 a)) 2) (pow (cos (/ -1 b)) 2)) * [misc]taylor: Taking taylor expansion of (* (pow (cos (/ -1 a)) 2) (pow (cos (/ -1 b)) 2)) in a * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1 a)) 2) in a * [misc]taylor: Taking taylor expansion of (cos (/ -1 a)) in a * [misc]taylor: Taking taylor expansion of (/ -1 a) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (pow (cos (/ -1 b)) 2) in a * [misc]taylor: Taking taylor expansion of (cos (/ -1 b)) in a * [misc]taylor: Taking taylor expansion of (/ -1 b) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1 b) into (/ -1 b) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 1) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 b)) 0) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 a))) into (pow (cos (/ -1 a)) 2) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) (cos (/ -1 b))) into (pow (cos (/ -1 b)) 2) * [misc]backup-simplify: Simplify (* (pow (cos (/ -1 a)) 2) (pow (cos (/ -1 b)) 2)) into (* (pow (cos (/ -1 a)) 2) (pow (cos (/ -1 b)) 2)) * [misc]backup-simplify: Simplify (* (pow (cos (/ -1 a)) 2) (pow (cos (/ -1 b)) 2)) into (* (pow (cos (/ -1 a)) 2) (pow (cos (/ -1 b)) 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 (cos (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 (cos (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (cos (/ -1 a)) (cos (/ -1 b))) 0) (* 0 (* (cos (/ -1 a)) (cos (/ -1 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 (cos (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 (cos (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1 a)) 2) 0) (* 0 (pow (cos (/ -1 b)) 2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 (cos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 (cos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (cos (/ -1 a)) (cos (/ -1 b))) 0) (+ (* 0 0) (* 0 (* (cos (/ -1 a)) (cos (/ -1 b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 (cos (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 (cos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (cos (/ -1 a)) 2) 0) (+ (* 0 0) (* 0 (pow (cos (/ -1 b)) 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (cos (/ -1 a)) (cos (/ -1 b))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ -1 a)) (cos (/ -1 b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow (cos (/ -1 (/ 1 (- a)))) 2) (pow (cos (/ -1 (/ 1 (- b)))) 2)) into (* (pow (cos a) 2) (pow (cos b) 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 2 2) * [misc]approximate: Taking taylor expansion of (pow (* (sin a) (sin b)) 3) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (pow (* (sin a) (sin b)) 3) in b * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in b * [misc]taylor: Taking taylor expansion of (sin a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin a) 1) into (sin a) * [misc]backup-simplify: Simplify (* (cos a) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin a) 0) into (sin a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 1) (* 0 0)) into (sin a) * [misc]taylor: Taking taylor expansion of (pow (* (sin a) (sin b)) 3) in a * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* 0 (sin b)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin b))) into (sin b) * [misc]taylor: Taking taylor expansion of (pow (* (sin a) (sin b)) 3) in a * [misc]taylor: Taking taylor expansion of (* (sin a) (sin b)) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (* (sin b) 1) into (sin b) * [misc]backup-simplify: Simplify (* (cos b) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin b) 0) into (sin b) * [misc]backup-simplify: Simplify (* 0 (sin b)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin b))) into (sin b) * [misc]backup-simplify: Simplify (* (sin b) (sin b)) into (pow (sin b) 2) * [misc]backup-simplify: Simplify (* (sin b) (pow (sin b) 2)) into (pow (sin b) 3) * [misc]taylor: Taking taylor expansion of (pow (sin b) 3) in b * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (* 0 (sin b))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (* 0 (pow (sin b) 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (sin b))))) into (- (* 1/6 (sin b))) * [misc]backup-simplify: Simplify (+ (* (sin b) (- (* 1/6 (sin b)))) (+ (* 0 0) (* (- (* 1/6 (sin b))) (sin b)))) into (- (* 1/3 (pow (sin b) 2))) * [misc]backup-simplify: Simplify (+ (* (sin b) (- (* 1/3 (pow (sin b) 2)))) (+ (* 0 0) (* (- (* 1/6 (sin b))) (pow (sin b) 2)))) into (- (* 1/2 (pow (sin b) 3))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (pow (sin b) 3))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (pow (sin b) 3)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow (sin b) 3) in b * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 1 (- 1/6)) (+ (* 0 0) (* (- 1/6) 1))) into -1/3 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (+ (* 0 0) (* (- 1/6) 1))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* (pow b 5) (pow a 3))) (+ (* -1/2 (* (pow b 3) (pow a 5))) (* 1 (pow (* b a) 3)))) into (- (* (pow a 3) (pow b 3)) (+ (* 1/2 (* (pow a 5) (pow b 3))) (* 1/2 (* (pow a 3) (pow b 5))))) * [misc]approximate: Taking taylor expansion of (pow (* (sin (/ 1 a)) (sin (/ 1 b))) 3) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (pow (* (sin (/ 1 a)) (sin (/ 1 b))) 3) in b * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 1) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 a)) 0) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) (sin (/ 1 b))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]taylor: Taking taylor expansion of (pow (* (sin (/ 1 a)) (sin (/ 1 b))) 3) in a * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) (sin (/ 1 b))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]taylor: Taking taylor expansion of (pow (* (sin (/ 1 a)) (sin (/ 1 b))) 3) in a * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (sin (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) (sin (/ 1 b))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (* (* (sin (/ 1 b)) (sin (/ 1 a))) (* (sin (/ 1 b)) (sin (/ 1 a)))) into (* (pow (sin (/ 1 b)) 2) (pow (sin (/ 1 a)) 2)) * [misc]backup-simplify: Simplify (* (* (sin (/ 1 b)) (sin (/ 1 a))) (* (pow (sin (/ 1 b)) 2) (pow (sin (/ 1 a)) 2))) into (* (pow (sin (/ 1 b)) 3) (pow (sin (/ 1 a)) 3)) * [misc]taylor: Taking taylor expansion of (* (pow (sin (/ 1 b)) 3) (pow (sin (/ 1 a)) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 b)) 3) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (pow (sin (/ 1 a)) 3) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 1) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 a)) 0) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) (sin (/ 1 b))) into (pow (sin (/ 1 b)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) (pow (sin (/ 1 b)) 2)) into (pow (sin (/ 1 b)) 3) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) (sin (/ 1 a))) into (pow (sin (/ 1 a)) 2) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) (pow (sin (/ 1 a)) 2)) into (pow (sin (/ 1 a)) 3) * [misc]backup-simplify: Simplify (* (pow (sin (/ 1 b)) 3) (pow (sin (/ 1 a)) 3)) into (* (pow (sin (/ 1 b)) 3) (pow (sin (/ 1 a)) 3)) * [misc]backup-simplify: Simplify (* (pow (sin (/ 1 b)) 3) (pow (sin (/ 1 a)) 3)) into (* (pow (sin (/ 1 b)) 3) (pow (sin (/ 1 a)) 3)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 (sin (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 b)) (sin (/ 1 a))) 0) (* 0 (* (sin (/ 1 b)) (sin (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 b)) (sin (/ 1 a))) 0) (* 0 (* (pow (sin (/ 1 b)) 2) (pow (sin (/ 1 a)) 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]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 (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 (sin (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 (pow (sin (/ 1 a)) 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 (sin (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 (pow (sin (/ 1 b)) 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sin (/ 1 b)) 3) 0) (* 0 (pow (sin (/ 1 a)) 3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 (sin (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 b)) (sin (/ 1 a))) 0) (+ (* 0 0) (* 0 (* (sin (/ 1 b)) (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 b)) (sin (/ 1 a))) 0) (+ (* 0 0) (* 0 (* (pow (sin (/ 1 b)) 2) (pow (sin (/ 1 a)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 (sin (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 a)) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 (sin (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 b)) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sin (/ 1 b)) 3) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 a)) 3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 b)) (sin (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 b)) (sin (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 b)) (sin (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (sin (/ 1 b)) 2) (pow (sin (/ 1 a)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow (sin (/ 1 (/ 1 b))) 3) (pow (sin (/ 1 (/ 1 a))) 3)) into (* (pow (sin b) 3) (pow (sin a) 3)) * [misc]approximate: Taking taylor expansion of (pow (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) 3) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (pow (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) 3) in b * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 1) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 a)) 0) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]taylor: Taking taylor expansion of (pow (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) 3) in a * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]taylor: Taking taylor expansion of (pow (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) 3) in a * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- a))) (sin (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (* (* (sin (/ -1 a)) (sin (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) into (* (pow (sin (/ -1 a)) 2) (pow (sin (/ -1 b)) 2)) * [misc]backup-simplify: Simplify (* (* (sin (/ -1 a)) (sin (/ -1 b))) (* (pow (sin (/ -1 a)) 2) (pow (sin (/ -1 b)) 2))) into (* (pow (sin (/ -1 a)) 3) (pow (sin (/ -1 b)) 3)) * [misc]taylor: Taking taylor expansion of (* (pow (sin (/ -1 a)) 3) (pow (sin (/ -1 b)) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (sin (/ -1 a)) 3) in b * [misc]taylor: Taking taylor expansion of (sin (/ -1 a)) in b * [misc]taylor: Taking taylor expansion of (/ -1 a) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ -1 a) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 1) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 a)) 0) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (pow (sin (/ -1 b)) 3) in b * [misc]taylor: Taking taylor expansion of (sin (/ -1 b)) in b * [misc]taylor: Taking taylor expansion of (/ -1 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 a))) into (pow (sin (/ -1 a)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (pow (sin (/ -1 a)) 2)) into (pow (sin (/ -1 a)) 3) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) (sin (/ -1 b))) into (pow (sin (/ -1 b)) 2) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) (pow (sin (/ -1 b)) 2)) into (pow (sin (/ -1 b)) 3) * [misc]backup-simplify: Simplify (* (pow (sin (/ -1 a)) 3) (pow (sin (/ -1 b)) 3)) into (* (pow (sin (/ -1 a)) 3) (pow (sin (/ -1 b)) 3)) * [misc]backup-simplify: Simplify (* (pow (sin (/ -1 a)) 3) (pow (sin (/ -1 b)) 3)) into (* (pow (sin (/ -1 a)) 3) (pow (sin (/ -1 b)) 3)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 (sin (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ -1 a)) (sin (/ -1 b))) 0) (* 0 (* (sin (/ -1 a)) (sin (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ -1 a)) (sin (/ -1 b))) 0) (* 0 (* (pow (sin (/ -1 a)) 2) (pow (sin (/ -1 b)) 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 (sin (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 (pow (sin (/ -1 b)) 2))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 (sin (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 (pow (sin (/ -1 a)) 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sin (/ -1 a)) 3) 0) (* 0 (pow (sin (/ -1 b)) 3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 (sin (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ -1 a)) (sin (/ -1 b))) 0) (+ (* 0 0) (* 0 (* (sin (/ -1 a)) (sin (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ -1 a)) (sin (/ -1 b))) 0) (+ (* 0 0) (* 0 (* (pow (sin (/ -1 a)) 2) (pow (sin (/ -1 b)) 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]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 (/ -1 b)) 0) (+ (* 0 0) (* 0 (sin (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 b)) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ -1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 (sin (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 a)) 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sin (/ -1 a)) 3) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 b)) 3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ -1 a)) (sin (/ -1 b))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ -1 a)) (sin (/ -1 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ -1 a)) (sin (/ -1 b))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (sin (/ -1 a)) 2) (pow (sin (/ -1 b)) 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (pow (sin (/ -1 (/ 1 (- a)))) 3) (pow (sin (/ -1 (/ 1 (- b)))) 3)) into (* (pow (sin a) 3) (pow (sin b) 3)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a))) in a * [misc]taylor: Taking taylor expansion of (+ (* (sin b) (sin a)) (* (cos b) (cos a))) in a * [misc]taylor: Taking taylor expansion of (* (sin b) (sin a)) in a * [misc]taylor: Taking taylor expansion of (sin b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (cos b) (cos a)) in a * [misc]taylor: Taking taylor expansion of (cos b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin b) (sin a)) in a * [misc]taylor: Taking taylor expansion of (sin b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (sin b) into (sin b) * [misc]backup-simplify: Simplify (cos b) into (cos b) * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a))) in b * [misc]taylor: Taking taylor expansion of (+ (* (sin b) (sin a)) (* (cos b) (cos a))) in b * [misc]taylor: Taking taylor expansion of (* (sin b) (sin a)) in b * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]taylor: Taking taylor expansion of (* (cos b) (cos a)) in b * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]taylor: Taking taylor expansion of (* (sin b) (sin a)) in b * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]taylor: Taking taylor expansion of (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a))) in b * [misc]taylor: Taking taylor expansion of (+ (* (sin b) (sin a)) (* (cos b) (cos a))) in b * [misc]taylor: Taking taylor expansion of (* (sin b) (sin a)) in b * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]taylor: Taking taylor expansion of (* (cos b) (cos a)) in b * [misc]taylor: Taking taylor expansion of (cos b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]taylor: Taking taylor expansion of (* (sin b) (sin a)) in b * [misc]taylor: Taking taylor expansion of (sin b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (sin a) into (sin a) * [misc]backup-simplify: Simplify (cos a) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 1) into (sin a) * [misc]backup-simplify: Simplify (* (cos a) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin a) 0) into (sin a) * [misc]backup-simplify: Simplify (* 0 (sin a)) into 0 * [misc]backup-simplify: Simplify (* (cos a) 1) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos a) 0) into (cos a) * [misc]backup-simplify: Simplify (* 1 (cos a)) into (cos a) * [misc]backup-simplify: Simplify (+ 0 (cos a)) into (cos a) * [misc]backup-simplify: Simplify (* (sin a) 1) into (sin a) * [misc]backup-simplify: Simplify (* (cos a) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin a) 0) into (sin a) * [misc]backup-simplify: Simplify (* 0 (sin a)) into 0 * [misc]backup-simplify: Simplify (* (cos a) 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]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 a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin a))) into (sin a) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin a))) into (sin a) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 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) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos a))) into 0 * [misc]backup-simplify: Simplify (+ (sin a) 0) into (sin a) * [misc]backup-simplify: Simplify (+ (* (cos a) (sin a)) (* (sin a) 0)) into (* (cos a) (sin a)) * [misc]taylor: Taking taylor expansion of (* (cos a) (sin a)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin a)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin a)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (cos a)))) into (- (* 1/2 (cos a))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (cos a)))) into (- (* 1/2 (cos a))) * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (+ (* (sin a) (sin a)) (* (- (* 1/2 (cos a))) 0))) into (pow (sin a) 2) * [misc]taylor: Taking taylor expansion of (pow (sin a) 2) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (sin a))))) into (- (* 1/6 (sin a))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* (- 1/6) (sin a))))) into (- (* 1/6 (sin a))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 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 (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/2) 0) (* 0 (cos a))))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/6 (sin a))) 0) into (- (* 1/6 (sin a))) * [misc]backup-simplify: Simplify (+ (* (cos a) (- (* 1/6 (sin a)))) (+ (* (sin a) 0) (+ (* (- (* 1/2 (cos a))) (sin a)) (* (- (* 1/6 (sin a))) 0)))) into (- (* 2/3 (* (cos a) (sin a)))) * [misc]taylor: Taking taylor expansion of (- (* 2/3 (* (cos a) (sin a)))) in a * [misc]taylor: Taking taylor expansion of (* 2/3 (* (cos a) (sin a))) in a * [misc]taylor: Taking taylor expansion of 2/3 in a * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]taylor: Taking taylor expansion of (* (cos a) (sin a)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* 2/3 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1) (* (- 1/2) 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/6) 0) (* 0 (sin a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/6) 0) (* 0 (sin a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin a) 0) (+ (* 0 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 (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/2) 0) (+ (* 0 0) (* 1/24 (cos a)))))) into (* 1/24 (cos a)) * [misc]backup-simplify: Simplify (+ 0 (* 1/24 (cos a))) into (* 1/24 (cos a)) * [misc]backup-simplify: Simplify (+ (* (cos a) 0) (+ (* (sin a) (- (* 1/6 (sin a)))) (+ (* (- (* 1/2 (cos a))) 0) (+ (* (- (* 1/6 (sin a))) (sin a)) (* (* 1/24 (cos a)) 0))))) into (- (* 1/3 (pow (sin a) 2))) * [misc]taylor: Taking taylor expansion of (- (* 1/3 (pow (sin a) 2))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (sin a) 2)) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (sin a) 2) in a * [misc]taylor: Taking taylor expansion of (sin a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 0 0)) into 1 * [misc]backup-simplify: Simplify (+ (* 2/3 1) (* 0 0)) into 2/3 * [misc]backup-simplify: Simplify (- 2/3) into -2/3 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* a b) 2)) (+ (* -2/3 (* a (pow b 3))) (* 1 (* a b)))) into (- (+ (* (pow a 2) (pow b 2)) (* a b)) (* 2/3 (* a (pow b 3)))) * [misc]approximate: Taking taylor expansion of (* (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 b)) (cos (/ 1 a)))) (* (sin (/ 1 b)) (sin (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 b)) (cos (/ 1 a)))) (* (sin (/ 1 b)) (sin (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 b)) (cos (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 b)) (sin (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 b)) (cos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 b)) (sin (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 b)) (cos (/ 1 a)))) (* (sin (/ 1 b)) (sin (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 b)) (cos (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 b)) (sin (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 b)) (cos (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 b)) (sin (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 b)) (cos (/ 1 a)))) (* (sin (/ 1 b)) (sin (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 b)) (cos (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 b)) (sin (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 b)) (cos (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 b)) (sin (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 1) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 a)) 0) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) (sin (/ 1 a))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 1) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 a)) 0) into (cos (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) (cos (/ 1 a))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 a)) (cos (/ 1 b)))) into (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 a)) (cos (/ 1 b)))) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) 1) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 a)) 0) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) (sin (/ 1 a))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (* (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 a)) (cos (/ 1 b)))) (* (sin (/ 1 b)) (sin (/ 1 a)))) into (* (sin (/ 1 b)) (* (sin (/ 1 a)) (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 a)) (cos (/ 1 b)))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 b)) (* (sin (/ 1 a)) (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 a)) (cos (/ 1 b)))))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 a)) (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 a)) (cos (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 a)) (cos (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 b)) (sin (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (cos (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (cos (/ 1 b)) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (sin (/ 1 b)) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 1) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 b)) 0) into (sin (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) (sin (/ 1 a))) into (* (sin (/ 1 b)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (* (cos (/ 1 b)) 1) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 b)) 0) into (cos (/ 1 b)) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (cos (/ 1 b))) into (* (cos (/ 1 a)) (cos (/ 1 b))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 a)) (cos (/ 1 b)))) into (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 a)) (cos (/ 1 b)))) * [misc]backup-simplify: Simplify (* (sin (/ 1 a)) (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 a)) (cos (/ 1 b))))) into (* (sin (/ 1 a)) (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 a)) (cos (/ 1 b))))) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) (* (sin (/ 1 a)) (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 a)) (cos (/ 1 b)))))) into (* (sin (/ 1 b)) (* (sin (/ 1 a)) (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 a)) (cos (/ 1 b)))))) * [misc]backup-simplify: Simplify (* (sin (/ 1 b)) (* (sin (/ 1 a)) (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 a)) (cos (/ 1 b)))))) into (* (sin (/ 1 b)) (* (sin (/ 1 a)) (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 a)) (cos (/ 1 b)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 (sin (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 (sin (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 (cos (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 a)) (cos (/ 1 b)))) 0) (* 0 (* (sin (/ 1 b)) (sin (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]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 (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 (sin (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 (cos (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (* 0 (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 a)) (cos (/ 1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (* 0 (* (sin (/ 1 a)) (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 a)) (cos (/ 1 b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 (sin (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 (sin (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 (cos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 a)) (cos (/ 1 b)))) 0) (+ (* 0 0) (* 0 (* (sin (/ 1 b)) (sin (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 (sin (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 (cos (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (* 0 (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 a)) (cos (/ 1 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (* 0 (* (sin (/ 1 a)) (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 a)) (cos (/ 1 b)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (sin (/ 1 b)) (sin (/ 1 a))) (* (cos (/ 1 a)) (cos (/ 1 b)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 b)) (sin (/ 1 a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 (/ 1 b))) (* (sin (/ 1 (/ 1 a))) (+ (* (sin (/ 1 (/ 1 b))) (sin (/ 1 (/ 1 a)))) (* (cos (/ 1 (/ 1 a))) (cos (/ 1 (/ 1 b))))))) into (* (sin b) (* (sin a) (+ (* (sin b) (sin a)) (* (cos a) (cos b))))) * [misc]approximate: Taking taylor expansion of (* (+ (* (sin (/ 1 (- b))) (sin (/ 1 (- a)))) (* (cos (/ 1 (- b))) (cos (/ 1 (- a))))) (* (sin (/ 1 (- b))) (sin (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (* (sin (/ 1 (- b))) (sin (/ 1 (- a)))) (* (cos (/ 1 (- b))) (cos (/ 1 (- a))))) (* (sin (/ 1 (- b))) (sin (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- b))) (sin (/ 1 (- a)))) (* (cos (/ 1 (- b))) (cos (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- b))) (sin (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- b))) (cos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- b))) (sin (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (+ (* (sin (/ 1 (- b))) (sin (/ 1 (- a)))) (* (cos (/ 1 (- b))) (cos (/ 1 (- a))))) (* (sin (/ 1 (- b))) (sin (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- b))) (sin (/ 1 (- a)))) (* (cos (/ 1 (- b))) (cos (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- b))) (sin (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- b))) (cos (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- b))) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- b))) (sin (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (+ (* (sin (/ 1 (- b))) (sin (/ 1 (- a)))) (* (cos (/ 1 (- b))) (cos (/ 1 (- a))))) (* (sin (/ 1 (- b))) (sin (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ 1 (- b))) (sin (/ 1 (- a)))) (* (cos (/ 1 (- b))) (cos (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- b))) (sin (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- b))) (cos (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- b))) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- b))) (sin (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- b))) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 1) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 a)) 0) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) (sin (/ -1 a))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 1) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 a)) 0) into (cos (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) (cos (/ -1 a))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) (sin (/ -1 b))) (* (cos (/ -1 a)) (cos (/ -1 b)))) into (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) 1) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 a)) 0) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) (sin (/ -1 a))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (* (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) (* (sin (/ -1 a)) (sin (/ -1 b)))) into (* (sin (/ -1 a)) (* (sin (/ -1 b)) (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 a)) (* (sin (/ -1 b)) (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) in a * [misc]taylor: Taking taylor expansion of (sin (/ -1 a)) in a * [misc]taylor: Taking taylor expansion of (/ -1 a) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 b)) (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) in a * [misc]taylor: Taking taylor expansion of (sin (/ -1 b)) in a * [misc]taylor: Taking taylor expansion of (/ -1 b) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1 b) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) in a * [misc]taylor: Taking taylor expansion of (* (cos (/ -1 a)) (cos (/ -1 b))) in a * [misc]taylor: Taking taylor expansion of (cos (/ -1 a)) in a * [misc]taylor: Taking taylor expansion of (/ -1 a) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (cos (/ -1 a)) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ -1 b)) in a * [misc]taylor: Taking taylor expansion of (/ -1 b) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1 b) into (/ -1 b) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 a)) (sin (/ -1 b))) in a * [misc]taylor: Taking taylor expansion of (sin (/ -1 a)) in a * [misc]taylor: Taking taylor expansion of (/ -1 a) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 a)) into (sin (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ -1 b)) in a * [misc]taylor: Taking taylor expansion of (/ -1 b) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1 b) into (/ -1 b) * [misc]backup-simplify: Simplify (sin (/ -1 b)) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (cos (/ -1 b)) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 1) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 b)) 0) into (cos (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (cos (/ -1 b))) into (* (cos (/ -1 a)) (cos (/ -1 b))) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) 1) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (cos (/ -1 b)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 b)) 0) into (sin (/ -1 b)) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (sin (/ -1 b))) into (* (sin (/ -1 a)) (sin (/ -1 b))) * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) into (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) * [misc]backup-simplify: Simplify (* (sin (/ -1 b)) (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) into (* (sin (/ -1 b)) (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (* (sin (/ -1 b)) (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) into (* (sin (/ -1 a)) (* (sin (/ -1 b)) (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) * [misc]backup-simplify: Simplify (* (sin (/ -1 a)) (* (sin (/ -1 b)) (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) into (* (sin (/ -1 a)) (* (sin (/ -1 b)) (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 (sin (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 (sin (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 (cos (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) 0) (* 0 (* (sin (/ -1 a)) (sin (/ -1 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 (cos (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 (sin (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (* 0 (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (* 0 (* (sin (/ -1 b)) (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 (sin (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 (sin (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 (cos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) 0) (+ (* 0 0) (* 0 (* (sin (/ -1 a)) (sin (/ -1 b)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 (cos (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 (sin (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (* 0 (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (* 0 (* (sin (/ -1 b)) (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 b)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* (cos (/ -1 a)) (cos (/ -1 b))) (* (sin (/ -1 a)) (sin (/ -1 b)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ -1 a)) (sin (/ -1 b))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 (/ 1 (- a)))) (* (sin (/ -1 (/ 1 (- b)))) (+ (* (cos (/ -1 (/ 1 (- a)))) (cos (/ -1 (/ 1 (- b))))) (* (sin (/ -1 (/ 1 (- a)))) (sin (/ -1 (/ 1 (- b)))))))) into (* (sin a) (* (sin b) (+ (* (sin a) (sin b)) (* (cos a) (cos b))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (log (cos a)) (log (cos b))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* 3 (+ (log (cos b)) (log (cos a)))) * [misc]simplify: Simplified (2 1 2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (exp (* 3 (+ (log (cos b)) (log (cos a))))) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 2 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (* (cos a) (cos b))) 3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (log (* (cos b) (cos a))) 3) * [misc]simplify: Simplified (2 1 2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (exp (* (log (* (cos b) (cos a))) 3)) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 3 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos a) (cos b)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos b) (cos a)) * [misc]simplify: Simplified (2 1 2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos b) (cos a)) (* 1 3)) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 5 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos a) (cos b)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos b) (cos a)) * [misc]simplify: Simplified (2 1 2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos b) (cos a)) (* 1 3)) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 6 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cos a) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (cos a) 3) * [misc]simplify: Simplified (2 1 2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (* (pow (cos a) 3) (pow (cos b) 3)) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 7 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cos a) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (cos a) 3) * [misc]simplify: Simplified (2 1 2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (* (pow (cos a) 3) (pow (cos b) 3)) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 14 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (+ (cos (+ a b)) (cos (- a b))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (pow (+ (cos (+ b a)) (cos (- a b))) 3) * [misc]simplify: Simplified (2 1 2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (/ (pow (+ (cos (+ b a)) (cos (- a b))) 3) (pow 2 3)) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 15 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos a) (cos a)) (cos a)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (pow (cos a) 3) * [misc]simplify: Simplified (2 1 2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (* (pow (cos a) 3) (* (* (cos b) (cos b)) (cos b))) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 17 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos a) (cos b)) (* (cos a) (cos b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (* (cos b) (cos a)) (* (cos b) (cos a))) * [misc]simplify: Simplified (2 1 2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (* (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (cos a) (cos b))) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 18 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos b) (cos a)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos a) (cos b)) * [misc]simplify: Simplified (2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (pow (* (cos a) (cos b)) (+ 1 1)) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 2 1 2) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (pow (* (cos b) (cos a)) 2) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 21 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos b) (cos a)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos a) (cos b)) * [misc]simplify: Simplified (2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (pow (* (cos a) (cos b)) (+ 1 1)) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 2 1 2) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (pow (* (cos b) (cos a)) 2) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 22 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos b) (cos a)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos a) (cos b)) * [misc]simplify: Simplified (2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (pow (* (cos a) (cos b)) (+ 1 1)) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 2 1 2) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (pow (* (cos b) (cos a)) 2) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 23 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos b) (cos a)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos a) (cos b)) * [misc]simplify: Simplified (2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (pow (* (cos a) (cos b)) (+ 1 1)) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 2 1 2) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (pow (* (cos b) (cos a)) 2) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 24 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos b) (cos a)) (* (cos b) (cos a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (* (cos a) (cos b)) (* (cos a) (cos b))) * [misc]simplify: Simplified (2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (pow (* (* (cos a) (cos b)) (* (cos a) (cos b))) 1) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 25 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos b) (cos a)) (* (cos b) (cos a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (* (cos a) (cos b)) (* (cos a) (cos b))) * [misc]simplify: Simplified (2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (pow (* (* (cos a) (cos b)) (* (cos a) (cos b))) 1) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 26 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos b) (cos a)) (* (cos b) (cos a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (* (cos a) (cos b)) (* (cos a) (cos b))) * [misc]simplify: Simplified (2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (pow (* (* (cos a) (cos b)) (* (cos a) (cos b))) 1) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 27 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos b) (cos a)) (* (cos b) (cos a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (* (cos a) (cos b)) (* (cos a) (cos b))) * [misc]simplify: Simplified (2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (pow (* (* (cos a) (cos b)) (* (cos a) (cos b))) 1) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 28 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos b) (cos a)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos a) (cos b)) * [misc]simplify: Simplified (2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (pow (* (cos a) (cos b)) (+ 1 1)) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 30 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos b) (cos a)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (cos a) (cos b)) * [misc]simplify: Simplified (2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (pow (* (cos a) (cos b)) (+ 1 1)) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 31 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (cos b)) (log (cos a))) (+ (log (cos b)) (log (cos a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (+ (+ (log (cos a)) (log (cos b))) (+ (log (cos a)) (log (cos b)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (exp (+ (+ (log (cos a)) (log (cos b))) (+ (log (cos a)) (log (cos b))))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 33 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (cos b)) (log (cos a))) (log (* (cos b) (cos a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (+ (log (* (cos b) (cos a))) (log (* (cos b) (cos a)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (exp (+ (log (* (cos b) (cos a))) (log (* (cos b) (cos a))))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 34 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (cos b) (cos a))) (+ (log (cos b)) (log (cos a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (+ (log (* (cos a) (cos b))) (log (* (cos a) (cos b)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (exp (+ (log (* (cos a) (cos b))) (log (* (cos a) (cos b))))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 35 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (cos b) (cos a))) (log (* (cos b) (cos a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (+ (log (* (cos a) (cos b))) (log (* (cos a) (cos b)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (exp (+ (log (* (cos a) (cos b))) (log (* (cos a) (cos b))))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 36 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (cos b) (cos b)) (cos b)) (* (* (cos a) (cos a)) (cos a))) (* (* (* (cos b) (cos b)) (cos b)) (* (* (cos a) (cos a)) (cos a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (* (* (pow (cos b) 3) (pow (cos a) 3)) (* (pow (cos b) 3) (pow (cos a) 3))) * [misc]simplify: Simplified (2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (cbrt (* (* (pow (cos b) 3) (pow (cos a) 3)) (* (pow (cos b) 3) (pow (cos a) 3)))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 39 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (cos b) (cos b)) (cos b)) (* (* (cos a) (cos a)) (cos a))) (* (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (cos b) (cos a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (* (pow (* (cos a) (cos b)) 3) (pow (* (cos a) (cos b)) 3)) * [misc]simplify: Simplified (2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (cbrt (* (pow (* (cos a) (cos b)) 3) (pow (* (cos a) (cos b)) 3))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 40 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (cos b) (cos a))) (* (* (* (cos b) (cos b)) (cos b)) (* (* (cos a) (cos a)) (cos a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (450 enodes) * [exit]simplify: Simplified to (* (pow (* (cos a) (cos b)) 3) (pow (* (cos a) (cos b)) 3)) * [misc]simplify: Simplified (2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (cbrt (* (pow (* (cos a) (cos b)) 3) (pow (* (cos a) (cos b)) 3))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 41 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (cos b) (cos a))) (* (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (cos b) (cos a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (463 enodes) * [exit]simplify: Simplified to (pow (* (cos a) (cos b)) 6) * [misc]simplify: Simplified (2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (cbrt (pow (* (cos a) (cos b)) 6)) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 42 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (cos (+ b a)) (cos (- b a))) (+ (cos (+ b a)) (cos (- b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (* (+ (cos (+ a b)) (cos (- b a))) (+ (cos (+ a b)) (cos (- b a)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (/ (* (+ (cos (+ a b)) (cos (- b a))) (+ (cos (+ a b)) (cos (- b a)))) (* 2 2)) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * [enter]simplify: Simplifying (* 2 2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 2 1 2) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (/ (* (+ (cos (+ b a)) (cos (- b a))) (+ (cos (+ b a)) (cos (- b a)))) 4) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 46 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (cos a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos a) * [misc]simplify: Simplified (2 2 1 2) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (* (cos b) (cos a)) (cos b)) (cos a)) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 48 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (cos b) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos b) * [misc]simplify: Simplified (2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (cos b) (* (cos a) (* (cos b) (cos a)))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 49 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (cos (+ b a)) (cos (- b a))) (* (cos b) (cos a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * [exit]simplify: Simplified to (* (* (cos b) (cos a)) (+ (cos (+ a b)) (cos (- b a)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (/ (* (* (cos b) (cos a)) (+ (cos (+ a b)) (cos (- b a)))) 2) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 51 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (log (sin a)) (log (sin b))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* 3 (+ (log (sin b)) (log (sin a)))) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (exp (* 3 (+ (log (sin b)) (log (sin a)))))))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 53 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (* (sin a) (sin b))) 3) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (log (* (sin b) (sin a))) 3) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (exp (* (log (* (sin b) (sin a))) 3))))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 54 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin a) (sin b)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin b) (sin a)) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin b) (sin a)) (* 1 3))))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 56 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin a) (sin b)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (* (sin b) (sin a)) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin b) (sin a)) (* 1 3))))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 57 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sin a) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (sin a) 3) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (* (pow (sin a) 3) (pow (sin b) 3))))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 58 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sin a) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (sin a) 3) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (* (pow (sin a) 3) (pow (sin b) 3))))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 65 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (- (cos (- a b)) (cos (+ a b))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (pow (- (cos (- a b)) (cos (+ b a))) 3) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (/ (pow (- (cos (- a b)) (cos (+ b a))) 3) (pow 2 3))))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 66 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin a) (sin a)) (sin a)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (pow (sin a) 3) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (* (pow (sin a) 3) (* (* (sin b) (sin b)) (sin b)))))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 68 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sin a) (sin b)) (* (sin a) (sin b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (* (sin b) (sin a)) (* (sin b) (sin a))) * [misc]simplify: Simplified (2 1 2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (* (* (* (sin b) (sin a)) (* (sin b) (sin a))) (* (sin a) (sin b)))))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 69 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (* (sin a) (sin b)) (+ (* (cos b) (cos a)) (* (sin a) (sin b)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (pow (* (* (sin a) (sin b)) (+ (* (cos b) (cos a)) (* (sin a) (sin b)))) 1)))) * * * * [misc]progress: [ 72 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (* (* (sin a) (sin b)) (+ (* (cos b) (cos a)) (* (sin a) (sin b)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (pow (* (* (sin a) (sin b)) (+ (* (cos b) (cos a)) (* (sin a) (sin b)))) 1)))) * * * * [misc]progress: [ 73 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (* (sin b) (sin a)) (* (cos b) (cos a)))) (+ (log (sin b)) (log (sin a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (+ (+ (log (sin a)) (log (sin b))) (log (+ (* (cos b) (cos a)) (* (sin a) (sin b))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (exp (+ (+ (log (sin a)) (log (sin b))) (log (+ (* (cos b) (cos a)) (* (sin a) (sin b))))))))) * * * * [misc]progress: [ 75 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (* (sin b) (sin a)) (* (cos b) (cos a)))) (log (* (sin b) (sin a)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (+ (log (* (sin a) (sin b))) (log (+ (* (cos b) (cos a)) (* (sin a) (sin b))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (exp (+ (log (* (sin a) (sin b))) (log (+ (* (cos b) (cos a)) (* (sin a) (sin b))))))))) * * * * [misc]progress: [ 76 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (+ (* (sin b) (sin a)) (* (cos b) (cos a)))) (+ (* (sin b) (sin a)) (* (cos b) (cos a)))) (* (* (* (sin b) (sin b)) (sin b)) (* (* (sin a) (sin a)) (sin a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (* (* (pow (sin b) 3) (pow (sin a) 3)) (+ (* (cos b) (cos a)) (* (sin a) (sin b)))) (* (+ (* (cos b) (cos a)) (* (sin a) (sin b))) (+ (* (cos b) (cos a)) (* (sin a) (sin b))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (cbrt (* (* (* (pow (sin b) 3) (pow (sin a) 3)) (+ (* (cos b) (cos a)) (* (sin a) (sin b)))) (* (+ (* (cos b) (cos a)) (* (sin a) (sin b))) (+ (* (cos b) (cos a)) (* (sin a) (sin b))))))))) * * * * [misc]progress: [ 79 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (+ (* (sin b) (sin a)) (* (cos b) (cos a)))) (+ (* (sin b) (sin a)) (* (cos b) (cos a)))) (* (* (* (sin b) (sin a)) (* (sin b) (sin a))) (* (sin b) (sin a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (* (pow (* (sin a) (sin b)) 3) (+ (* (cos b) (cos a)) (* (sin a) (sin b)))) (* (+ (* (cos b) (cos a)) (* (sin a) (sin b))) (+ (* (cos b) (cos a)) (* (sin a) (sin b))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (cbrt (* (* (pow (* (sin a) (sin b)) 3) (+ (* (cos b) (cos a)) (* (sin a) (sin b)))) (* (+ (* (cos b) (cos a)) (* (sin a) (sin b))) (+ (* (cos b) (cos a)) (* (sin a) (sin b))))))))) * * * * [misc]progress: [ 80 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (- (cos (- b a)) (cos (+ b a))) 2) (* 2 (+ (cos (+ b a)) (cos (- b a))))) (- (cos (- b a)) (cos (+ b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * [exit]simplify: Simplified to (* (+ (- (cos (- b a)) (cos (+ a b))) (+ (cos (- b a)) (cos (+ a b)))) (* 2 (- (cos (- b a)) (cos (+ a b))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (/ (* (+ (- (cos (- b a)) (cos (+ a b))) (+ (cos (- b a)) (cos (+ a b)))) (* 2 (- (cos (- b a)) (cos (+ a b))))) (* (* 2 2) 2))))) * [enter]simplify: Simplifying (* (* 2 2) 2) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 8 * [misc]simplify: Simplified (2 2 2 2) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (/ (* (+ (- (cos (- b a)) (cos (+ a b))) (+ (cos (- b a)) (cos (+ a b)))) (* 2 (- (cos (- b a)) (cos (+ a b))))) 8)))) * * * * [misc]progress: [ 84 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (* (sin b) (sin a)) 3) (pow (* (cos b) (cos a)) 3)) (- (cos (- b a)) (cos (+ b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (* (+ (pow (* (cos b) (cos a)) 3) (pow (* (sin a) (sin b)) 3)) (- (cos (- b a)) (cos (+ b a)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (/ (* (+ (pow (* (cos b) (cos a)) 3) (pow (* (sin a) (sin b)) 3)) (- (cos (- b a)) (cos (+ b a)))) (* (+ (* (* (sin b) (sin a)) (* (sin b) (sin a))) (- (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (* (sin b) (sin a)) (* (cos b) (cos a))))) 2))))) * [enter]simplify: Simplifying (* (+ (* (* (sin b) (sin a)) (* (sin b) (sin a))) (- (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (* (sin b) (sin a)) (* (cos b) (cos a))))) 2) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (+ (* (* (* (sin a) (sin b)) (* (sin a) (sin b))) 2) (* (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (* 2 (cos b)) (cos a)))) * [misc]simplify: Simplified (2 2 2 2) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (/ (* (+ (pow (* (sin b) (sin a)) 3) (pow (* (cos b) (cos a)) 3)) (- (cos (- b a)) (cos (+ b a)))) (+ (* (* (* (sin a) (sin b)) (* (sin a) (sin b))) 2) (* (- (* (cos a) (cos b)) (* (sin a) (sin b))) (* (* 2 (cos b)) (cos a)))))))) * * * * [misc]progress: [ 85 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* (sin b) (sin a)) (* (sin b) (sin a))) (* (* (cos b) (cos a)) (* (cos b) (cos a)))) (- (cos (- b a)) (cos (+ b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (242 enodes) * [exit]simplify: Simplified to (* (* (- (* (sin a) (sin b)) (* (cos a) (cos b))) (+ (* (cos a) (cos b)) (* (sin a) (sin b)))) (- (cos (- b a)) (cos (+ b a)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (/ (* (* (- (* (sin a) (sin b)) (* (cos a) (cos b))) (+ (* (cos a) (cos b)) (* (sin a) (sin b)))) (- (cos (- b a)) (cos (+ b a)))) (* (- (* (sin b) (sin a)) (* (cos b) (cos a))) 2))))) * [enter]simplify: Simplifying (* (- (* (sin b) (sin a)) (* (cos b) (cos a))) 2) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* 2 (- (* (sin a) (sin b)) (* (cos b) (cos a)))) * [misc]simplify: Simplified (2 2 2 2) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (/ (* (- (* (* (sin b) (sin a)) (* (sin b) (sin a))) (* (* (cos b) (cos a)) (* (cos b) (cos a)))) (- (cos (- b a)) (cos (+ b a)))) (* 2 (- (* (sin a) (sin b)) (* (cos b) (cos a)))))))) * * * * [misc]progress: [ 86 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (sin a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin a) * [misc]simplify: Simplified (2 2 2 2) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (sin b)) (sin a))))) * * * * [misc]progress: [ 88 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (* (sin b) (sin a)) (* (cos b) (cos a)))) (cbrt (+ (* (sin b) (sin a)) (* (cos b) (cos a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* (cos b) (cos a)) (* (sin a) (sin b)))) (cbrt (+ (* (cos b) (cos a)) (* (sin a) (sin b))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (* (cbrt (+ (* (cos b) (cos a)) (* (sin a) (sin b)))) (cbrt (+ (* (cos b) (cos a)) (* (sin a) (sin b))))) (* (cbrt (+ (* (sin b) (sin a)) (* (cos b) (cos a)))) (* (sin b) (sin a))))))) * * * * [misc]progress: [ 89 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* (sin b) (sin a)) (* (cos b) (cos a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cos b) (cos a)) (* (sin a) (sin b)))) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (sqrt (+ (* (cos b) (cos a)) (* (sin a) (sin b)))) (* (sqrt (+ (* (sin b) (sin a)) (* (cos b) (cos a)))) (* (sin b) (sin a))))))) * * * * [misc]progress: [ 90 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (- (cos (- b a)) (cos (+ b a))) 2) (* 2 (+ (cos (+ b a)) (cos (- b a))))) (* (sin b) (sin a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * [exit]simplify: Simplified to (* (+ (- (cos (- b a)) (cos (+ a b))) (+ (cos (- b a)) (cos (+ a b)))) (* (* (sin a) (sin b)) 2)) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (/ (* (+ (- (cos (- b a)) (cos (+ a b))) (+ (cos (- b a)) (cos (+ a b)))) (* (* (sin a) (sin b)) 2)) (* 2 2))))) * * * * [misc]progress: [ 93 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (* (sin b) (sin a)) 3) (pow (* (cos b) (cos a)) 3)) (* (sin b) (sin a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (* (sin a) (sin b)) (* (cos b) (cos a)))) (pow (* (sin a) (sin b)) 4)) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (/ (+ (* (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (* (sin a) (sin b)) (* (cos b) (cos a)))) (pow (* (sin a) (sin b)) 4)) (+ (* (* (sin b) (sin a)) (* (sin b) (sin a))) (- (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (* (sin b) (sin a)) (* (cos b) (cos a))))))))) * * * * [misc]progress: [ 94 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (* (sin b) (sin a)) (* (sin b) (sin a))) (* (* (cos b) (cos a)) (* (cos b) (cos a)))) (* (sin b) (sin a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (222 enodes) * [exit]simplify: Simplified to (* (+ (* (cos a) (cos b)) (* (sin a) (sin b))) (* (* (sin a) (sin b)) (- (* (sin a) (sin b)) (* (cos a) (cos b))))) * [misc]simplify: Simplified (2 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (/ (* (+ (* (cos a) (cos b)) (* (sin a) (sin b))) (* (* (sin a) (sin b)) (- (* (sin a) (sin b)) (* (cos a) (cos b))))) (- (* (sin b) (sin a)) (* (cos b) (cos a))))))) * * * * [misc]progress: [ 95 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* 3/2 (pow a 2)) (* 3/2 (pow b 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ 1 (* (+ (* b b) (* a a)) -3/2)) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (+ 1 (* (+ (* b b) (* a a)) -3/2)) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 97 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow (cos a) 3) (pow (cos b) 3)) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (pow (cos a) 3) (pow (cos b) 3)) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (* (pow (cos a) 3) (pow (cos b) 3)) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 98 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow (cos a) 3) (pow (cos b) 3)) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (pow (cos a) 3) (pow (cos b) 3)) * [misc]simplify: Simplified (2 1 2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (* (pow (cos a) 3) (pow (cos b) 3)) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 99 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (pow a 2) (pow b 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (- 1 (+ (* a a) (* b b))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (- 1 (+ (* a a) (* b b))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 100 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow (cos a) 2) (pow (cos b) 2)) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (* (cos b) (cos a)) (* (cos b) (cos a))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 101 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow (cos a) 2) (pow (cos b) 2)) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (* (cos b) (cos a)) (* (cos b) (cos a))) * [misc]simplify: Simplified (2 2 1) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 102 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (pow a 3) (pow b 3)) (+ (* 1/2 (* (pow a 5) (pow b 3))) (* 1/2 (* (pow a 3) (pow b 5))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (- (* (* b b) (- (* (* b a) (* a a)) (* (pow a 5) (* b 1/2)))) (* (* (* a 1/2) (* a a)) (pow b 5))) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (- (* (* b b) (- (* (* b a) (* a a)) (* (pow a 5) (* b 1/2)))) (* (* (* a 1/2) (* a a)) (pow b 5)))))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 103 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow (sin b) 3) (pow (sin a) 3)) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (pow (sin b) 3) (pow (sin a) 3)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (* (pow (sin b) 3) (pow (sin a) 3))))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 104 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (pow (sin a) 3) (pow (sin b) 3)) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (pow (sin a) 3) (pow (sin b) 3)) * [misc]simplify: Simplified (2 1 2 2 2) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (* (pow (sin a) 3) (pow (sin b) 3))))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (+ (* (sin b) (sin a)) (* (cos b) (cos a))) (* (sin b) (sin a)))))) * * * * [misc]progress: [ 105 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (pow a 2) (pow b 2)) (* a b)) (* 2/3 (* a (pow b 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (+ (* (* (* b b) a) (+ (* -2/3 b) a)) (* b a)) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (+ (* (* (* b b) a) (+ (* -2/3 b) a)) (* b a))))) * * * * [misc]progress: [ 106 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin b) (* (sin a) (+ (* (sin b) (sin a)) (* (cos a) (cos b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * [exit]simplify: Simplified to (* (* (sin a) (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin b)))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (* (sin a) (sin b)) (+ (* (cos a) (cos b)) (* (sin a) (sin b))))))) * * * * [misc]progress: [ 107 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin a) (* (sin b) (+ (* (sin a) (sin b)) (* (cos a) (cos b))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * [exit]simplify: Simplified to (* (* (sin b) (sin a)) (+ (* (cos a) (cos b)) (* (sin b) (sin a)))) * [misc]simplify: Simplified (2 2 2) to (λ (r a b) (* (* r (/ (sin b) (- (pow (* (cos a) (cos b)) 3) (pow (* (sin a) (sin b)) 3)))) (+ (* (* (cos b) (cos a)) (* (cos b) (cos a))) (* (* (sin b) (sin a)) (+ (* (cos a) (cos b)) (* (sin b) (sin a))))))) * * * [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: (a b r) * * * * [misc]regimes: Trying to branch on a from (# # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on b from (# # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on r from (# # # # # # # # # # #) * * * [misc]regime: Found split indices: #