* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 112 additional inputs, on iter 1 have 144 / 256 * * * * [misc]points: Computing exacts on every 7 of 112 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 112 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 112 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 53 additional inputs, on iter 2 have 203 / 256 * * * * [misc]points: Computing exacts on every 3 of 53 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 53 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 19 additional inputs, on iter 3 have 237 / 256 * * * * [misc]points: Computing exacts for 19 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 4 have 248 / 256 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 257 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (cos th) into (cos th) * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos th) 1) into (cos th) * [misc]backup-simplify: Simplify (* (sin th) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos th) 0) into (cos th) * [misc]backup-simplify: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a1 a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (* a1 a1) into (pow a1 2) * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) (pow a1 2)) into (/ (pow a1 2) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* a1 0) (* 0 a1)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 (pow a1 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow a1 2)))) into (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of 1/2 in a1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (* 0 (pow a1 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]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 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) 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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (* (* 1/24 (/ 1 (sqrt 2))) (pow a1 2)))))) into (* 1/24 (/ (pow a1 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (* 1/24 (/ (pow a1 2) (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of 1/24 in a1 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (* 1/24 (/ 1 (sqrt 2))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (+ (* (* 1/24 (/ 1 (sqrt 2))) 0) (* 0 (pow a1 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]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 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) 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 (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a1 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a1 1) 2))) into (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 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 a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]backup-simplify: Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2)) * [misc]backup-simplify: Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 (pow a1 2))) into (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* 1 (sqrt 2)) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a1) 0) (* 0 (/ 1 a1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (* 0 (/ 1 (pow a1 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (* 0 (/ 1 a1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [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 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) 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 th)) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]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 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a1)) 1) 2)) into (/ (* (cos th) (pow a1 2)) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in a1 * [misc]taylor: Taking taylor expansion of (- th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in a1 * [misc]taylor: Taking taylor expansion of (- a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- a1)) in a1 * [misc]taylor: Taking taylor expansion of (- a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]backup-simplify: Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2)) * [misc]backup-simplify: Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 1 (pow a1 2))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ -1 th)) in a1 * [misc]taylor: Taking taylor expansion of (/ -1 th) in a1 * [misc]taylor: Taking taylor expansion of -1 in a1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* 1 (sqrt 2)) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a1) 0) (* 0 (/ -1 a1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 (/ 1 (pow a1 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (* 0 (/ -1 a1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [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 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) 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 th)) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]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 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a1))) 1) 2)) into (/ (* (cos th) (pow a1 2)) (sqrt 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a2 a2)) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a2 a2)) in a2 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (cos th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (cos th) into (cos th) * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos th) 1) into (cos th) * [misc]backup-simplify: Simplify (* (sin th) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos th) 0) into (cos th) * [misc]backup-simplify: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a2 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a2 a2)) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a2 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a2 a2)) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a2 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (* a2 a2) into (pow a2 2) * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) (pow a2 2)) into (/ (pow a2 2) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* a2 0) (* 0 a2)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 (pow a2 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow a2 2)))) into (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) in a2 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of 1/2 in a2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (* 0 (pow a2 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]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 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) 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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (* (* 1/24 (/ 1 (sqrt 2))) (pow a2 2)))))) into (* 1/24 (/ (pow a2 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (* 1/24 (/ (pow a2 2) (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of 1/24 in a2 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (* 1/24 (/ 1 (sqrt 2))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (+ (* (* 1/24 (/ 1 (sqrt 2))) 0) (* 0 (pow a2 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]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 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) 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 (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a2 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a2 1) 2))) into (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a2) (/ 1 a2))) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a2) (/ 1 a2))) in a2 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 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 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a2) (/ 1 a2))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a2) (/ 1 a2))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]backup-simplify: Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2)) * [misc]backup-simplify: Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 (pow a2 2))) into (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (* (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* 1 (sqrt 2)) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (* 0 (/ 1 (pow a2 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [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 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) 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 th)) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]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 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a2)) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a2)) (/ 1 (- a2)))) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a2 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in a2 * [misc]taylor: Taking taylor expansion of (- th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in a2 * [misc]taylor: Taking taylor expansion of (- a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- a2)) in a2 * [misc]taylor: Taking taylor expansion of (- a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]backup-simplify: Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2)) * [misc]backup-simplify: Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 1 (pow a2 2))) into (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ -1 th)) in a2 * [misc]taylor: Taking taylor expansion of (/ -1 th) in a2 * [misc]taylor: Taking taylor expansion of -1 in a2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (* (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* 1 (sqrt 2)) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 (/ 1 (pow a2 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [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 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) 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 th)) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]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 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a2))) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos th)) (log (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * * * * [misc]progress: [ 3 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 4 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 5 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* 2 (sqrt 2))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* 2 (sqrt 2))) * * * * [misc]progress: [ 6 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 7 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * * * * [misc]progress: [ 8 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 9 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos th)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cos th)) * [exit]simplify: Simplified to (- (cos th)) * [enter]simplify: Simplifying (- (sqrt 2)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt 2)) * [exit]simplify: Simplified to (- (sqrt 2)) * * * * [misc]progress: [ 10 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 11 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 12 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 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 (21 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 13 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 14 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 15 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) 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 (cos th)) * [exit]simplify: Simplified to (sqrt (cos th)) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 16 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * * * * [misc]progress: [ 17 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 18 / 122 ] 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 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 19 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * * * * [misc]progress: [ 21 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 22 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 23 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 24 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cos th) * [exit]simplify: Simplified to (cos th) * * * * [misc]progress: [ 25 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cbrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * * * * [misc]progress: [ 26 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (sqrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * * * * [misc]progress: [ 27 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 28 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos th)) (log (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * * * * [misc]progress: [ 30 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 31 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 32 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* 2 (sqrt 2))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* 2 (sqrt 2))) * * * * [misc]progress: [ 33 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 34 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * * * * [misc]progress: [ 35 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 36 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos th)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cos th)) * [exit]simplify: Simplified to (- (cos th)) * [enter]simplify: Simplifying (- (sqrt 2)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt 2)) * [exit]simplify: Simplified to (- (sqrt 2)) * * * * [misc]progress: [ 37 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 38 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 39 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 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 (21 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 40 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 41 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 42 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) 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 (cos th)) * [exit]simplify: Simplified to (sqrt (cos th)) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 43 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * * * * [misc]progress: [ 44 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 45 / 122 ] 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 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 46 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * * * * [misc]progress: [ 48 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 49 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 50 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 51 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cos th) * [exit]simplify: Simplified to (cos th) * * * * [misc]progress: [ 52 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cbrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * * * * [misc]progress: [ 53 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (sqrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * * * * [misc]progress: [ 54 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 55 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th)) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th)) * * * * [misc]progress: [ 56 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (* a1 a1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (+ (log (* a1 a1)) (- (log (cos th)) (log (sqrt 2)))) * [exit]simplify: Simplified to (+ (log (* a1 a1)) (- (log (cos th)) (log (sqrt 2)))) * * * * [misc]progress: [ 58 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1))) * [exit]simplify: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1))) * * * * [misc]progress: [ 59 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (log (/ (* (* a1 a1) (cos th)) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (* (* a1 a1) (cos th)) (sqrt 2))) * * * * [misc]progress: [ 60 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (exp (* (/ a1 (sqrt 2)) (* a1 (cos th)))) * [exit]simplify: Simplified to (exp (* (/ a1 (sqrt 2)) (* a1 (cos th)))) * * * * [misc]progress: [ 61 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * [exit]simplify: Simplified to (* (* (/ (cos th) 2) (/ (cos th) (sqrt 2))) (* (* (cos th) (* a1 a1)) (* (* a1 a1) (* a1 a1)))) * [exit]simplify: Simplified to (* (* (/ (cos th) 2) (/ (cos th) (sqrt 2))) (* (* (cos th) (* a1 a1)) (* (* a1 a1) (* a1 a1)))) * * * * [misc]progress: [ 62 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (* a1 a1)) (/ 2 (cos th))) (* (* (* a1 a1) (* a1 a1)) (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (* (cos th) (* a1 a1)) (/ 2 (cos th))) (* (* (* a1 a1) (* a1 a1)) (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 63 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) * [exit]simplify: Simplified to (* (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) * [enter]simplify: Simplifying (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (* a1 a1) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (cbrt (* (/ (* a1 a1) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 64 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (pow (/ (* a1 a1) (/ (sqrt 2) (cos th))) 3) * [exit]simplify: Simplified to (pow (/ (* a1 a1) (/ (sqrt 2) (cos th))) 3) * * * * [misc]progress: [ 65 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (* a1 a1) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (sqrt (* (/ (* a1 a1) (sqrt 2)) (cos th))) * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (* a1 a1) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (sqrt (* (/ (* a1 a1) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 66 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) a1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* a1 (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (* a1 (cos th)) (sqrt 2)) * * * * [misc]progress: [ 68 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1)) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1)) * * * * [misc]progress: [ 69 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1)) * [exit]simplify: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1)) * * * * [misc]progress: [ 70 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cbrt (cos th))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cbrt (cos th))) (cbrt (sqrt 2))) * * * * [misc]progress: [ 71 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cbrt (cos th))) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cbrt (cos th))) (sqrt (sqrt 2))) * * * * [misc]progress: [ 72 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (* a1 a1))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (* a1 a1))) * * * * [misc]progress: [ 73 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (sqrt (cos th))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (sqrt (cos th))) (cbrt (sqrt 2))) * * * * [misc]progress: [ 74 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (sqrt (cos th))) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (sqrt (cos th))) (sqrt (sqrt 2))) * * * * [misc]progress: [ 75 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (* a1 a1))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (* a1 a1))) * * * * [misc]progress: [ 76 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (cbrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 77 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 78 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th)) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th)) * * * * [misc]progress: [ 79 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th)) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th)) * * * * [misc]progress: [ 80 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (* a1 a1) (sqrt 2)) * [exit]simplify: Simplified to (/ (* a1 a1) (sqrt 2)) * * * * [misc]progress: [ 81 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (* a1 a1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (* (* a1 a1) (cos th)) * [exit]simplify: Simplified to (* (* a1 a1) (cos th)) * * * * [misc]progress: [ 82 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th)) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th)) * * * * [misc]progress: [ 84 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (* a2 a2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (+ (log (* a2 a2)) (- (log (cos th)) (log (sqrt 2)))) * [exit]simplify: Simplified to (+ (log (* a2 a2)) (- (log (cos th)) (log (sqrt 2)))) * * * * [misc]progress: [ 86 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2))) * [exit]simplify: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2))) * * * * [misc]progress: [ 87 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (log (/ (* (* a2 a2) (cos th)) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (* (* a2 a2) (cos th)) (sqrt 2))) * * * * [misc]progress: [ 88 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (exp (* (/ a2 (sqrt 2)) (* a2 (cos th)))) * [exit]simplify: Simplified to (exp (* (/ a2 (sqrt 2)) (* a2 (cos th)))) * * * * [misc]progress: [ 89 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * [exit]simplify: Simplified to (* (* (/ (cos th) 2) (/ (cos th) (sqrt 2))) (* (* (cos th) (* a2 a2)) (* (* a2 a2) (* a2 a2)))) * [exit]simplify: Simplified to (* (* (/ (cos th) 2) (/ (cos th) (sqrt 2))) (* (* (cos th) (* a2 a2)) (* (* a2 a2) (* a2 a2)))) * * * * [misc]progress: [ 90 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (* a2 a2)) (/ 2 (cos th))) (* (* (* a2 a2) (* a2 a2)) (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (* (cos th) (* a2 a2)) (/ 2 (cos th))) (* (* (* a2 a2) (* a2 a2)) (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 91 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * [exit]simplify: Simplified to (* (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * [enter]simplify: Simplifying (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (* a2 a2) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (cbrt (* (/ (* a2 a2) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 92 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (pow (/ (* a2 a2) (/ (sqrt 2) (cos th))) 3) * [exit]simplify: Simplified to (pow (/ (* a2 a2) (/ (sqrt 2) (cos th))) 3) * * * * [misc]progress: [ 93 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (* a2 a2) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (sqrt (* (/ (* a2 a2) (sqrt 2)) (cos th))) * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (* a2 a2) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (sqrt (* (/ (* a2 a2) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 94 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) a2) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* a2 (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (* a2 (cos th)) (sqrt 2)) * * * * [misc]progress: [ 96 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (* a2 a2)) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (* a2 a2)) * * * * [misc]progress: [ 97 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) (* a2 a2)) * [exit]simplify: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) (* a2 a2)) * * * * [misc]progress: [ 98 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cbrt (cos th))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cbrt (cos th))) (cbrt (sqrt 2))) * * * * [misc]progress: [ 99 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cbrt (cos th))) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cbrt (cos th))) (sqrt (sqrt 2))) * * * * [misc]progress: [ 100 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (* a2 a2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (* a2 a2))) * * * * [misc]progress: [ 101 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (sqrt (cos th))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (sqrt (cos th))) (cbrt (sqrt 2))) * * * * [misc]progress: [ 102 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (sqrt (cos th))) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (sqrt (cos th))) (sqrt (sqrt 2))) * * * * [misc]progress: [ 103 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (* a2 a2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (* a2 a2))) * * * * [misc]progress: [ 104 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (cbrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 105 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 106 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th)) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th)) * * * * [misc]progress: [ 107 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th)) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th)) * * * * [misc]progress: [ 108 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (* a2 a2) (sqrt 2)) * [exit]simplify: Simplified to (/ (* a2 a2) (sqrt 2)) * * * * [misc]progress: [ 109 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (* a2 a2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (* (* a2 a2) (cos th)) * [exit]simplify: Simplified to (* (* a2 a2) (cos th)) * * * * [misc]progress: [ 110 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a2 a2))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (+ (- (* (* (* a2 a2) 1/24) (/ (pow th 4) (sqrt 2))) (/ (* 1/2 (* a2 a2)) (/ (sqrt 2) (* th th)))) (+ (/ (* a2 a2) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a1 a1)))) * * * * [misc]progress: [ 112 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 113 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 114 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (+ (- (* (* (* a1 a1) 1/24) (/ (pow th 4) (sqrt 2))) (/ (* (* 1/2 th) (* a1 a1)) (/ (sqrt 2) th))) (+ (/ (* (* a2 a2) (cos th)) (sqrt 2)) (/ (* a1 a1) (sqrt 2)))) * * * * [misc]progress: [ 115 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 116 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 117 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * [exit]simplify: Simplified to (+ (- (/ (* a2 a2) (/ (sqrt 2) (cos th))) (/ (* (* a1 th) (* a1 th)) (/ (sqrt 2) 1/2))) (/ (* a1 a1) (sqrt 2))) * * * * [misc]progress: [ 118 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* (cos th) (pow a1 2)) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) * * * * [misc]progress: [ 119 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* (cos th) (pow a1 2)) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) * * * * [misc]progress: [ 120 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * [exit]simplify: Simplified to (- (+ (/ (* a2 a2) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ 1/2 (sqrt 2)) (* (* th a2) (* th a2)))) * * * * [misc]progress: [ 121 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (* (cos th) (pow a2 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 122 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (* (cos th) (pow a2 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (pow (cos th) 3) (* 2 (sqrt 2))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (pow (cos th) 3) (* 2 (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos th) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos th)))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos th))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos th)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 2 (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (pow (cos th) 3) (* 2 (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos th) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos th)))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos th))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos th)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 2 (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -3/2 1) 1)))) into -3/2 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ -3/2 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into (- (* 3/4 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 3/4 (/ 1 (sqrt 2)))) into (- (* 3/4 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1/2)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* (- (* 3/4 (/ 1 (sqrt 2)))) (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1/2)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1/2)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/24) 1)) (pow 1 1)))) 24) into -1/12 * [misc]backup-simplify: Simplify (+ (* 3 -1/12) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0))))) into -1/4 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -3/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 7/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 7/8 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* (- (* 3/4 (/ 1 (sqrt 2)))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into (* 7/16 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (* 7/16 (/ 1 (sqrt 2))) into (/ 7/16 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (/ 7/16 (sqrt 2)) (pow th 4)) (+ (* (- (* 3/4 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1/2 (sqrt 2)))) into (- (+ (* 1/2 (/ 1 (sqrt 2))) (* 7/16 (/ (pow th 4) (sqrt 2)))) (* 3/4 (/ (pow th 2) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 th)) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 th))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 th)))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 th))) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (log (cos (/ 1 th))) into (log (cos (/ 1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ 1 th)))) into (* 3 (log (cos (/ 1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ 1 th))))) into (pow (cos (/ 1 th)) 3) * [misc]taylor: Taking taylor expansion of (* 2 (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 2 (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 th)) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 th))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 th)))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 th))) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (log (cos (/ 1 th))) into (log (cos (/ 1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ 1 th)))) into (* 3 (log (cos (/ 1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ 1 th))))) into (pow (cos (/ 1 th)) 3) * [misc]taylor: Taking taylor expansion of (* 2 (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 2 (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) into (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1 th)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (/ 1 th))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1 th)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1 th)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1 th)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1 th)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1 th)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1 th)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1 th)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1 th)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ (pow (cos (/ 1 (/ 1 th))) 3) (sqrt 2))) into (* 1/2 (/ (pow (cos th) 3) (sqrt 2))) * [misc]approximate: Taking taylor expansion of (/ (pow (cos (/ 1 (- th))) 3) (* 2 (sqrt 2))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (/ 1 (- th))) 3) (* 2 (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- th)))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 (- th))))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 (- th)))) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (log (cos (/ -1 th))) into (log (cos (/ -1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ -1 th)))) into (* 3 (log (cos (/ -1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ -1 th))))) into (pow (cos (/ -1 th)) 3) * [misc]taylor: Taking taylor expansion of (* 2 (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 2 (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ -1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (pow (cos (/ 1 (- th))) 3) (* 2 (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- th)))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 (- th))))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 (- th)))) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (log (cos (/ -1 th))) into (log (cos (/ -1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ -1 th)))) into (* 3 (log (cos (/ -1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ -1 th))))) into (pow (cos (/ -1 th)) 3) * [misc]taylor: Taking taylor expansion of (* 2 (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 2 (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ -1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) into (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1 th)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (/ -1 th))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1 th)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1 th)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1 th)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1 th)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1 th)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1 th)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1 th)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1 th)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ (pow (cos (/ -1 (/ 1 (- th)))) 3) (sqrt 2))) into (* 1/2 (/ (pow (cos th) 3) (sqrt 2))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) in th * [misc]taylor: Rewrote expression to (pow (/ (pow (cos th) 3) (* 2 (sqrt 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos th) 3) (* 2 (sqrt 2)))))) in th * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos th) 3) (* 2 (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of 1/3 in th * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos th) 3) (* 2 (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (pow (cos th) 3) (* 2 (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos th) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos th)))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos th))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos th)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 2 (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (log (/ 1/2 (sqrt 2))) into (log (/ 1/2 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1/2 (sqrt 2)))) into (* 1/3 (log (/ 1/2 (sqrt 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) into (pow (/ 1/2 (sqrt 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) in th * [misc]taylor: Rewrote expression to (pow (/ (pow (cos th) 3) (* 2 (sqrt 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos th) 3) (* 2 (sqrt 2)))))) in th * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos th) 3) (* 2 (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of 1/3 in th * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos th) 3) (* 2 (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (pow (cos th) 3) (* 2 (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos th) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos th)))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos th))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos th)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 2 (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (log (/ 1/2 (sqrt 2))) into (log (/ 1/2 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1/2 (sqrt 2)))) into (* 1/3 (log (/ 1/2 (sqrt 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) into (pow (/ 1/2 (sqrt 2)) 1/3) * [misc]backup-simplify: Simplify (pow (/ 1/2 (sqrt 2)) 1/3) into (pow (/ 1/2 (sqrt 2)) 1/3) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1/2 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -3/2 1) 1)))) into -3/2 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ -3/2 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into (- (* 3/4 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 3/4 (/ 1 (sqrt 2))))) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 2) into -3/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -3/2) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2)))))) into -1/2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/2 1) 1)))) into (* -1/2 (pow (/ 1/2 (sqrt 2)) 1/3)) * [misc]backup-simplify: Simplify (* -1/2 (pow (/ 1/2 (sqrt 2)) 1/3)) into (* -1/2 (pow (/ 1/2 (sqrt 2)) 1/3)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1/2)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* (- (* 3/4 (/ 1 (sqrt 2)))) (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1/2 (sqrt 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 3/4 (/ 1 (sqrt 2))))) 1)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1/2)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1/2)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/24) 1)) (pow 1 1)))) 24) into -1/12 * [misc]backup-simplify: Simplify (+ (* 3 -1/12) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0))))) into -1/4 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -3/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 7/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 7/8 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* (- (* 3/4 (/ 1 (sqrt 2)))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into (* 7/16 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 1/2 (sqrt 2)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 3/4 (/ 1 (sqrt 2))))) 1)) (pow (/ 1/2 (sqrt 2)) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 3/4 (/ 1 (sqrt 2))))) 2)) (pow (/ 1/2 (sqrt 2)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 7/16 (/ 1 (sqrt 2)))) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/4) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2)))))))) into -1/12 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/2 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/2 2) 2)) (* (/ (pow -1/12 1) 1)))) into (* 1/24 (pow (/ 1/2 (sqrt 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/24 (pow (/ 1/2 (sqrt 2)) 1/3)) into (* 1/24 (pow (/ 1/2 (sqrt 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (pow (/ 1/2 (sqrt 2)) 1/3)) (pow th 4)) (+ (* (* -1/2 (pow (/ 1/2 (sqrt 2)) 1/3)) (pow th 2)) (pow (/ 1/2 (sqrt 2)) 1/3))) into (- (+ (* 1/24 (* (pow th 4) (pow (/ 1/2 (sqrt 2)) 1/3))) (pow (/ 1/2 (sqrt 2)) 1/3)) (* 1/2 (* (pow th 2) (pow (/ 1/2 (sqrt 2)) 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2)))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2)))) in th * [misc]taylor: Rewrote expression to (pow (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2)))))) in th * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of 1/3 in th * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 th)) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 th))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 th)))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 th))) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (log (cos (/ 1 th))) into (log (cos (/ 1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ 1 th)))) into (* 3 (log (cos (/ 1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ 1 th))))) into (pow (cos (/ 1 th)) 3) * [misc]taylor: Taking taylor expansion of (* 2 (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 2 (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))) into (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))) into (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) into (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2)))) in th * [misc]taylor: Rewrote expression to (pow (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2)))))) in th * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of 1/3 in th * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 th)) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 th))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 th)))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 th))) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (log (cos (/ 1 th))) into (log (cos (/ 1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ 1 th)))) into (* 3 (log (cos (/ 1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ 1 th))))) into (pow (cos (/ 1 th)) 3) * [misc]taylor: Taking taylor expansion of (* 2 (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 2 (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))) into (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))) into (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) into (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1/3) * [misc]backup-simplify: Simplify (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1/3) into (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1 th)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (/ 1 th))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1 th)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1 th)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1 th)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1 th)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1 th)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1 th)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1 th)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1 th)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (* 1/2 (/ (pow (cos (/ 1 (/ 1 th))) 3) (sqrt 2))) 1/3) into (pow (* 1/2 (/ (pow (cos th) 3) (sqrt 2))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 (- th))) 3) (* 2 (sqrt 2)))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 (- th))) 3) (* 2 (sqrt 2)))) in th * [misc]taylor: Rewrote expression to (pow (/ (pow (cos (/ 1 (- th))) 3) (* 2 (sqrt 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (/ 1 (- th))) 3) (* 2 (sqrt 2)))))) in th * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (/ 1 (- th))) 3) (* 2 (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of 1/3 in th * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos (/ 1 (- th))) 3) (* 2 (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (pow (cos (/ 1 (- th))) 3) (* 2 (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- th)))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 (- th))))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 (- th)))) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (log (cos (/ -1 th))) into (log (cos (/ -1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ -1 th)))) into (* 3 (log (cos (/ -1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ -1 th))))) into (pow (cos (/ -1 th)) 3) * [misc]taylor: Taking taylor expansion of (* 2 (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 2 (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ -1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))) into (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))) into (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) into (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 (- th))) 3) (* 2 (sqrt 2)))) in th * [misc]taylor: Rewrote expression to (pow (/ (pow (cos (/ 1 (- th))) 3) (* 2 (sqrt 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (/ 1 (- th))) 3) (* 2 (sqrt 2)))))) in th * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (/ 1 (- th))) 3) (* 2 (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of 1/3 in th * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos (/ 1 (- th))) 3) (* 2 (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (pow (cos (/ 1 (- th))) 3) (* 2 (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- th)))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 (- th))))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 (- th)))) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (log (cos (/ -1 th))) into (log (cos (/ -1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ -1 th)))) into (* 3 (log (cos (/ -1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ -1 th))))) into (pow (cos (/ -1 th)) 3) * [misc]taylor: Taking taylor expansion of (* 2 (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 2 (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ -1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))) into (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))) into (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) into (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1/3) * [misc]backup-simplify: Simplify (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1/3) into (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1 th)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (/ -1 th))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1 th)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1 th)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1 th)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1 th)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1 th)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1 th)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1 th)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1 th)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (* 1/2 (/ (pow (cos (/ -1 (/ 1 (- th)))) 3) (sqrt 2))) 1/3) into (pow (* 1/2 (/ (pow (cos th) 3) (sqrt 2))) 1/3) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (pow (cos th) 3) in (th) around 0 * [misc]taylor: Taking taylor expansion of (pow (cos th) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos th)))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos th))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos th)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (cos th) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos th)))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos th))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos th)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -3/2 1) 1)))) into -3/2 * [misc]backup-simplify: Simplify -3/2 into -3/2 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1/2)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1/2)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1/2)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/24) 1)) (pow 1 1)))) 24) into -1/12 * [misc]backup-simplify: Simplify (+ (* 3 -1/12) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0))))) into -1/4 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -3/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 7/8 * [misc]backup-simplify: Simplify 7/8 into 7/8 * [misc]backup-simplify: Simplify (+ (* 7/8 (pow th 4)) (+ (* -3/2 (pow th 2)) 1)) into (- (+ 1 (* 7/8 (pow th 4))) (* 3/2 (pow th 2))) * [misc]approximate: Taking taylor expansion of (pow (cos (/ 1 th)) 3) in (th) around 0 * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 th)) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 th))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 th)))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 th))) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (log (cos (/ 1 th))) into (log (cos (/ 1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ 1 th)))) into (* 3 (log (cos (/ 1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ 1 th))))) into (pow (cos (/ 1 th)) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 th)) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 th))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 th)))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 th))) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (log (cos (/ 1 th))) into (log (cos (/ 1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ 1 th)))) into (* 3 (log (cos (/ 1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ 1 th))))) into (pow (cos (/ 1 th)) 3) * [misc]backup-simplify: Simplify (pow (cos (/ 1 th)) 3) into (pow (cos (/ 1 th)) 3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1 th)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (/ 1 th))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1 th)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1 th)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1 th)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1 th)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1 th)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1 th)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1 th)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1 th)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (cos (/ 1 (/ 1 th))) 3) into (pow (cos th) 3) * [misc]approximate: Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in (th) around 0 * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- th)))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 (- th))))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 (- th)))) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (log (cos (/ -1 th))) into (log (cos (/ -1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ -1 th)))) into (* 3 (log (cos (/ -1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ -1 th))))) into (pow (cos (/ -1 th)) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- th)))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 (- th))))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 (- th)))) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (log (cos (/ -1 th))) into (log (cos (/ -1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ -1 th)))) into (* 3 (log (cos (/ -1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ -1 th))))) into (pow (cos (/ -1 th)) 3) * [misc]backup-simplify: Simplify (pow (cos (/ -1 th)) 3) into (pow (cos (/ -1 th)) 3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1 th)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (/ -1 th))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1 th)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1 th)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1 th)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1 th)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1 th)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1 th)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1 th)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1 th)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (cos (/ -1 (/ 1 (- th)))) 3) into (pow (cos th) 3) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (cos th)) 3) (log (* 2 (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (* (log (cos th)) 3) (log (* (sqrt 2) 2))) * [exit]simplify: Simplified to (- (* (log (cos th)) 3) (log (* (sqrt 2) 2))) * * * * [misc]progress: [ 3 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (cos th)) 3) (log (* 2 (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (* (log (cos th)) 3) (log (* (sqrt 2) 2))) * [exit]simplify: Simplified to (- (* (log (cos th)) 3) (log (* (sqrt 2) 2))) * * * * [misc]progress: [ 4 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (pow (cos th) 3)) (log (* 2 (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (- (* (log (cos th)) 3) (log (* (sqrt 2) 2))) * [exit]simplify: Simplified to (- (* (log (cos th)) 3) (log (* (sqrt 2) 2))) * * * * [misc]progress: [ 5 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (pow (cos th) 3) (* 2 (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (377 enodes) * [exit]simplify: Simplified to (- (* (log (cos th)) 3) (log (* (sqrt 2) 2))) * [exit]simplify: Simplified to (- (* (log (cos th)) 3) (log (* (sqrt 2) 2))) * * * * [misc]progress: [ 6 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (pow (cos th) 3) (* 2 (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (exp (/ (pow (cos th) 3) (* (sqrt 2) 2))) * [exit]simplify: Simplified to (exp (/ (pow (cos th) 3) (* (sqrt 2) 2))) * * * * [misc]progress: [ 7 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (pow (cos th) 3) (pow (cos th) 3)) (pow (cos th) 3)) (* (* (* 2 (sqrt 2)) (* 2 (sqrt 2))) (* 2 (sqrt 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * [exit]simplify: Simplified to (/ (* (pow (cos th) (+ 3 1)) (pow (cos th) (+ 3 1))) (/ (* (* 2 2) (sqrt 2)) (/ (cos th) (* 2 2)))) * [exit]simplify: Simplified to (/ (* (pow (cos th) (+ 3 1)) (pow (cos th) (+ 3 1))) (/ (* (* 2 2) (sqrt 2)) (/ (cos th) (* 2 2)))) * * * * [misc]progress: [ 8 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) * * * * [misc]progress: [ 9 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (pow (cos th) 3) (* 2 (sqrt 2))) (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (/ (pow (cos th) 3) (* 2 (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * [exit]simplify: Simplified to (pow (/ (pow (cos th) 3) (* (sqrt 2) 2)) 3) * [exit]simplify: Simplified to (pow (/ (pow (cos th) 3) (* (sqrt 2) 2)) 3) * * * * [misc]progress: [ 10 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (sqrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) * [exit]simplify: Simplified to (sqrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) * [enter]simplify: Simplifying (sqrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (sqrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) * [exit]simplify: Simplified to (sqrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) * * * * [misc]progress: [ 11 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (cos th) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (cos th)) (* (cos th) (cos th))) * [exit]simplify: Simplified to (* (- (cos th)) (* (cos th) (cos th))) * [enter]simplify: Simplifying (- (* 2 (sqrt 2))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (* (sqrt 2) (- 2)) * [exit]simplify: Simplified to (* (sqrt 2) (- 2)) * * * * [misc]progress: [ 12 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (* (cos th) (/ (cos th) 2)) * [exit]simplify: Simplified to (* (cos th) (/ (cos th) 2)) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 13 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) 2) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ 2 (cos th))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ 2 (cos th))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (cos th))) * * * * [misc]progress: [ 14 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) 2) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (sqrt 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * * * * [misc]progress: [ 15 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) 2) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ 2 (cos th))) * [exit]simplify: Simplified to (/ (cos th) (/ 2 (cos th))) * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 16 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ 2 (cos th))) * [exit]simplify: Simplified to (/ (cos th) (/ 2 (cos th))) * [enter]simplify: Simplifying (/ (cbrt (pow (cos th) 3)) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 17 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (* (cos th) (/ (cos th) 2)) * [exit]simplify: Simplified to (* (cos th) (/ (cos th) 2)) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 18 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) 2) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ 2 (cos th))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ 2 (cos th))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (cos th))) * * * * [misc]progress: [ 19 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) 2) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (sqrt 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * * * * [misc]progress: [ 20 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) 2) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (cos th) 2) * [exit]simplify: Simplified to (/ (cos th) 2) * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt 2)) * * * * [misc]progress: [ 21 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) 2) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) 2) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) 2) * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (sqrt 2)) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (sqrt 2)) * * * * [misc]progress: [ 22 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (sqrt 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * * * * [misc]progress: [ 23 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* 2 (sqrt 2))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt 2)) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt 2)) * * * * [misc]progress: [ 25 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (sqrt 2)) (pow (cos th) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 2) 2) (pow (cos th) 3)) * [exit]simplify: Simplified to (/ (* (sqrt 2) 2) (pow (cos th) 3)) * * * * [misc]progress: [ 26 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (cos th) 3) 2) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (/ (cos th) 2) (* (cos th) (cos th))) * [exit]simplify: Simplified to (* (/ (cos th) 2) (* (cos th) (cos th))) * * * * [misc]progress: [ 27 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (sqrt 2)) (pow (cbrt (cos th)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 2) (cos th)) 2) * [exit]simplify: Simplified to (* (/ (sqrt 2) (cos th)) 2) * * * * [misc]progress: [ 28 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (sqrt 2)) (pow (sqrt (cos th)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (/ 2 (cos th)) (/ (sqrt 2) (sqrt (cos th)))) * [exit]simplify: Simplified to (* (/ 2 (cos th)) (/ (sqrt 2) (sqrt (cos th)))) * * * * [misc]progress: [ 29 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (sqrt 2)) (pow (cos th) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 2) 2) (pow (cos th) 3)) * [exit]simplify: Simplified to (/ (* (sqrt 2) 2) (pow (cos th) 3)) * * * * [misc]progress: [ 30 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (sqrt 2)) (cos th)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 2) (cos th)) 2) * [exit]simplify: Simplified to (* (/ (sqrt 2) (cos th)) 2) * * * * [misc]progress: [ 31 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (sqrt 2)) (cbrt (pow (cos th) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (/ (cos th) 2)) * [exit]simplify: Simplified to (/ (sqrt 2) (/ (cos th) 2)) * * * * [misc]progress: [ 32 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (sqrt 2)) (pow (cbrt (cos th)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 2) (cos th)) 2) * [exit]simplify: Simplified to (* (/ (sqrt 2) (cos th)) 2) * * * * [misc]progress: [ 33 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (sqrt 2)) (pow (sqrt (cos th)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (/ 2 (cos th)) (/ (sqrt 2) (sqrt (cos th)))) * [exit]simplify: Simplified to (* (/ 2 (cos th)) (/ (sqrt 2) (sqrt (cos th)))) * * * * [misc]progress: [ 34 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (sqrt 2)) (pow (cos th) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 2) 2) (pow (cos th) 3)) * [exit]simplify: Simplified to (/ (* (sqrt 2) 2) (pow (cos th) 3)) * * * * [misc]progress: [ 35 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (sqrt 2)) (* (cos th) (cos th))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 2) (cos th)) (/ 2 (cos th))) * [exit]simplify: Simplified to (* (/ (sqrt 2) (cos th)) (/ 2 (cos th))) * * * * [misc]progress: [ 36 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (sqrt 2)) (sqrt (pow (cos th) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 2) 2) (sqrt (pow (cos th) 3))) * [exit]simplify: Simplified to (/ (* (sqrt 2) 2) (sqrt (pow (cos th) 3))) * * * * [misc]progress: [ 37 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (sqrt 2)) (pow (cos th) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 2) 2) (pow (cos th) 3)) * [exit]simplify: Simplified to (/ (* (sqrt 2) 2) (pow (cos th) 3)) * * * * [misc]progress: [ 38 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos th)) (log (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * * * * [misc]progress: [ 40 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 41 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 42 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* 2 (sqrt 2))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* 2 (sqrt 2))) * * * * [misc]progress: [ 43 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 44 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * * * * [misc]progress: [ 45 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 46 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos th)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cos th)) * [exit]simplify: Simplified to (- (cos th)) * [enter]simplify: Simplifying (- (sqrt 2)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt 2)) * [exit]simplify: Simplified to (- (sqrt 2)) * * * * [misc]progress: [ 47 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 48 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 49 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 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 (21 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 50 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 51 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 52 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) 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 (cos th)) * [exit]simplify: Simplified to (sqrt (cos th)) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 53 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * * * * [misc]progress: [ 54 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 55 / 119 ] 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 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 56 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * * * * [misc]progress: [ 58 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 59 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 60 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 61 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cos th) * [exit]simplify: Simplified to (cos th) * * * * [misc]progress: [ 62 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cbrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * * * * [misc]progress: [ 63 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (sqrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * * * * [misc]progress: [ 64 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 65 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (log (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) * * * * [misc]progress: [ 68 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (exp (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (exp (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) * * * * [misc]progress: [ 69 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) * * * * [misc]progress: [ 70 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) * * * * [misc]progress: [ 71 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (cbrt (* (cos th) (/ (cos th) 2))) * [exit]simplify: Simplified to (cbrt (* (cos th) (/ (cos th) 2))) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 72 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (sqrt (cos th)))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (sqrt (cos th)))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos th)) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos th)) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 73 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) 2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (sqrt 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (* (* (cos th) (cos th)) (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (* (* (cos th) (cos th)) (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 74 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (cos th)) 2)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (cbrt (* (cos th) (/ (cos th) 2))) * [exit]simplify: Simplified to (cbrt (* (cos th) (/ (cos th) 2))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 75 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) 2)) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) 2)) * [enter]simplify: Simplifying (cbrt (/ (cbrt (pow (cos th) 3)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 76 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (cbrt (* (cos th) (/ (cos th) 2))) * [exit]simplify: Simplified to (cbrt (* (cos th) (/ (cos th) 2))) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 77 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (sqrt (cos th)))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (sqrt (cos th)))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos th)) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos th)) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 78 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) 2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (sqrt 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (* (* (cos th) (cos th)) (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (* (* (cos th) (cos th)) (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 79 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cos th) 2)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) 2)) * [exit]simplify: Simplified to (cbrt (/ (cos th) 2)) * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (cos th)) (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 80 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) 2)) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) 2)) * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2))) * * * * [misc]progress: [ 81 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (sqrt 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (* (* (cos th) (cos th)) (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (* (* (cos th) (cos th)) (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 82 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) * * * * [misc]progress: [ 83 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (cos th) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (cos th) * [exit]simplify: Simplified to (cos th) * [enter]simplify: Simplifying (cbrt (/ 1 (* 2 (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 2) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (/ 1 2) (sqrt 2))) * * * * [misc]progress: [ 84 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (cos th) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (cos th) * [exit]simplify: Simplified to (cos th) * [enter]simplify: Simplifying (cbrt (* 2 (sqrt 2))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt 2) 2)) * [exit]simplify: Simplified to (cbrt (* (sqrt 2) 2)) * * * * [misc]progress: [ 85 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))) (cbrt (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (cbrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (cbrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) * * * * [misc]progress: [ 86 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))) (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* (sqrt 2) 2)) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* (sqrt 2) 2)) * * * * [misc]progress: [ 87 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) * * * * [misc]progress: [ 88 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (cos th)) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (log (cos th)) 3) * [exit]simplify: Simplified to (* (log (cos th)) 3) * * * * [misc]progress: [ 90 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (cos th)) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (log (cos th)) 3) * [exit]simplify: Simplified to (* (log (cos th)) 3) * * * * [misc]progress: [ 91 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 3 * [exit]simplify: Simplified to 3 * * * * [misc]progress: [ 92 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (cos th) (cos th)) * [exit]simplify: Simplified to (* (cos th) (cos th)) * [enter]simplify: Simplifying (pow (cbrt (cos th)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (cos th) * [exit]simplify: Simplified to (cos th) * * * * [misc]progress: [ 93 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (cos th)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (cos th)) (cos th)) * [exit]simplify: Simplified to (* (sqrt (cos th)) (cos th)) * [enter]simplify: Simplifying (pow (sqrt (cos th)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (cos th)) (cos th)) * [exit]simplify: Simplified to (* (sqrt (cos th)) (cos th)) * * * * [misc]progress: [ 94 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (cos th) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (cos th) 3) * [exit]simplify: Simplified to (pow (cos th) 3) * * * * [misc]progress: [ 95 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (cos th)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (cos th) (cos th)) * [exit]simplify: Simplified to (* (cos th) (cos th)) * * * * [misc]progress: [ 96 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (cos th) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* 3 (log (cos th))) * [exit]simplify: Simplified to (* 3 (log (cos th))) * * * * [misc]progress: [ 98 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (cos th) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (exp (pow (cos th) 3)) * [exit]simplify: Simplified to (exp (pow (cos th) 3)) * * * * [misc]progress: [ 99 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (* (cos th) (cos th)) * [exit]simplify: Simplified to (* (cos th) (cos th)) * [enter]simplify: Simplifying (cbrt (pow (cos th) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (cos th) * [exit]simplify: Simplified to (cos th) * * * * [misc]progress: [ 100 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (cos th) 3) (pow (cos th) 3)) (pow (cos th) 3)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (pow (pow (cos th) 3) 3) * [exit]simplify: Simplified to (pow (pow (cos th) 3) 3) * * * * [misc]progress: [ 101 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (cos th) (cos th)) * [exit]simplify: Simplified to (* (cos th) (cos th)) * [enter]simplify: Simplifying (pow (cbrt (cos th)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (cos th) * [exit]simplify: Simplified to (cos th) * * * * [misc]progress: [ 102 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (cos th)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (cos th)) (cos th)) * [exit]simplify: Simplified to (* (sqrt (cos th)) (cos th)) * [enter]simplify: Simplifying (pow (sqrt (cos th)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (cos th)) (cos th)) * [exit]simplify: Simplified to (* (sqrt (cos th)) (cos th)) * * * * [misc]progress: [ 103 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (cos th) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (cos th) 3) * [exit]simplify: Simplified to (pow (cos th) 3) * * * * [misc]progress: [ 104 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (cos th)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (cos th) (cos th)) * [exit]simplify: Simplified to (* (cos th) (cos th)) * * * * [misc]progress: [ 105 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (cos th) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt (pow (cos th) 3)) * [exit]simplify: Simplified to (sqrt (pow (cos th) 3)) * [enter]simplify: Simplifying (sqrt (pow (cos th) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt (pow (cos th) 3)) * [exit]simplify: Simplified to (sqrt (pow (cos th) 3)) * * * * [misc]progress: [ 107 / 119 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cbrt (- (+ (* 1/2 (/ 1 (sqrt 2))) (* 7/16 (/ (pow th 4) (sqrt 2)))) (* 3/4 (/ (pow th 2) (sqrt 2))))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (238 enodes) * [exit]simplify: Simplified to (+ (* (* a1 a1) (cbrt (- (+ (/ 7/16 (/ (sqrt 2) (pow th 4))) (/ 1/2 (sqrt 2))) (/ (* th th) (/ (sqrt 2) 3/4))))) (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * * * * [misc]progress: [ 109 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cbrt (* 1/2 (/ (pow (cos th) 3) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (+ (* (* a1 a1) (cbrt (/ (pow (cos th) 3) (/ (sqrt 2) 1/2)))) (* (/ (* a2 a2) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 110 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cbrt (* 1/2 (/ (pow (cos th) 3) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (+ (* (* a1 a1) (cbrt (/ (pow (cos th) 3) (/ (sqrt 2) 1/2)))) (* (/ (* a2 a2) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 111 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (* a1 a1)) (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a2 a2))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (+ (* (* a1 a1) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) (+ (/ (* a2 a2) (sqrt 2)) (- (/ (* (* a2 a2) 1/24) (/ (sqrt 2) (pow th 4))) (/ (* (* 1/2 th) (* a2 a2)) (/ (sqrt 2) th))))) * * * * [misc]progress: [ 112 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (+ (/ (* a2 a2) (/ (sqrt 2) (cos th))) (* (* a1 a1) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) * * * * [misc]progress: [ 113 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (+ (/ (* a2 a2) (/ (sqrt 2) (cos th))) (* (* a1 a1) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) * * * * [misc]progress: [ 114 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (+ (* 1/24 (* (pow th 4) (pow (/ 1/2 (sqrt 2)) 1/3))) (pow (/ 1/2 (sqrt 2)) 1/3)) (* 1/2 (* (pow th 2) (pow (/ 1/2 (sqrt 2)) 1/3)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (316 enodes) * [exit]simplify: Simplified to (+ (+ (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (* a1 a1) (cbrt (/ 1/2 (sqrt 2))))) (* (* (* a1 a1) (cbrt (/ 1/2 (sqrt 2)))) (- (* (pow th 4) 1/24) (* 1/2 (* th th))))) * * * * [misc]progress: [ 115 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (pow (* 1/2 (/ (pow (cos th) 3) (sqrt 2))) 1/3) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (+ (* (* a1 a1) (cbrt (/ (pow (cos th) 3) (/ (sqrt 2) 1/2)))) (* (/ (* a2 a2) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 116 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (pow (* 1/2 (/ (pow (cos th) 3) (sqrt 2))) 1/3) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (+ (* (* a1 a1) (cbrt (/ (pow (cos th) 3) (/ (sqrt 2) 1/2)))) (* (/ (* a2 a2) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 117 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cbrt (/ (- (+ 1 (* 7/8 (pow th 4))) (* 3/2 (pow th 2))) (* 2 (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (207 enodes) * * [misc]simplify: iters left: 2 (413 enodes) * [exit]simplify: Simplified to (+ (* (cbrt (/ (+ 1 (- (* 7/8 (pow th 4)) (* (* th th) 3/2))) (* 2 (sqrt 2)))) (* a1 a1)) (* (* a2 a2) (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 118 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (+ (/ (* a2 a2) (/ (sqrt 2) (cos th))) (* (* a1 a1) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) * * * * [misc]progress: [ 119 / 119 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (+ (/ (* a2 a2) (/ (sqrt 2) (cos th))) (* (* a1 a1) (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))))) * * * [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 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) a1) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) a1) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (cos th) into (cos th) * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos th) 1) into (cos th) * [misc]backup-simplify: Simplify (* (sin th) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos th) 0) into (cos th) * [misc]backup-simplify: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) a1) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) a1) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) a1) into (/ a1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ a1 (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 a1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* (- (* 1/2 (/ 1 (sqrt 2)))) a1))) into (- (* 1/2 (/ a1 (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ a1 (sqrt 2)))) in a1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ a1 (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of 1/2 in a1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ a1 (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (* 0 a1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (* (* 1/24 (/ 1 (sqrt 2))) a1))))) into (* 1/24 (/ a1 (sqrt 2))) * [misc]taylor: Taking taylor expansion of (* 1/24 (/ a1 (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of 1/24 in a1 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (/ a1 (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (* a1 (pow th 2))) (* (/ 1 (sqrt 2)) (* a1 1))) into (- (/ a1 (sqrt 2)) (* 1/2 (/ (* (pow th 2) a1) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a1)) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a1)) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]backup-simplify: Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a1)) into (/ (cos (/ 1 th)) (* a1 (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (* a1 (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (* a1 (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* 0 (sqrt 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqrt 2))) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (* 0 (/ 1 a1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 a1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [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 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) 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 th)) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (* (/ 1 (/ 1 a1)) 1)) into (/ (* (cos th) a1) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a1))) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a1))) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in a1 * [misc]taylor: Taking taylor expansion of (- th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in a1 * [misc]taylor: Taking taylor expansion of (- a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a1))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a1))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]backup-simplify: Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (/ -1 a1)) into (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2)))) in a1 * [misc]taylor: Taking taylor expansion of -1 in a1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 th)) (* a1 (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ -1 th)) in a1 * [misc]taylor: Taking taylor expansion of (/ -1 th) in a1 * [misc]taylor: Taking taylor expansion of -1 in a1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (* a1 (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* 0 (sqrt 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqrt 2))) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (* -1 (/ (cos (/ -1 th)) (sqrt 2))) into (* -1 (/ (cos (/ -1 th)) (sqrt 2))) * [misc]backup-simplify: Simplify (* -1 (/ (cos (/ -1 th)) (sqrt 2))) into (* -1 (/ (cos (/ -1 th)) (sqrt 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 (/ -1 a1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ -1 a1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [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 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) 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 th)) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2))) (* (/ 1 (/ 1 (- a1))) 1)) into (/ (* (cos th) a1) (sqrt 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a2 a2)) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a2 a2)) in a2 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (cos th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (cos th) into (cos th) * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos th) 1) into (cos th) * [misc]backup-simplify: Simplify (* (sin th) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos th) 0) into (cos th) * [misc]backup-simplify: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a2 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a2 a2)) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a2 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a2 a2)) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a2 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (* a2 a2) into (pow a2 2) * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) (pow a2 2)) into (/ (pow a2 2) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* a2 0) (* 0 a2)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 (pow a2 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow a2 2)))) into (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) in a2 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of 1/2 in a2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (* 0 (pow a2 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]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 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) 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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (* (* 1/24 (/ 1 (sqrt 2))) (pow a2 2)))))) into (* 1/24 (/ (pow a2 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (* 1/24 (/ (pow a2 2) (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of 1/24 in a2 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (* 1/24 (/ 1 (sqrt 2))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (+ (* (* 1/24 (/ 1 (sqrt 2))) 0) (* 0 (pow a2 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]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 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) 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 (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a2 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a2 1) 2))) into (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a2) (/ 1 a2))) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a2) (/ 1 a2))) in a2 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 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 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a2) (/ 1 a2))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a2) (/ 1 a2))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]backup-simplify: Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2)) * [misc]backup-simplify: Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 (pow a2 2))) into (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (* (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* 1 (sqrt 2)) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (* 0 (/ 1 (pow a2 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [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 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) 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 th)) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]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 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a2)) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a2)) (/ 1 (- a2)))) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a2 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in a2 * [misc]taylor: Taking taylor expansion of (- th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in a2 * [misc]taylor: Taking taylor expansion of (- a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- a2)) in a2 * [misc]taylor: Taking taylor expansion of (- a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]backup-simplify: Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2)) * [misc]backup-simplify: Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 1 (pow a2 2))) into (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ -1 th)) in a2 * [misc]taylor: Taking taylor expansion of (/ -1 th) in a2 * [misc]taylor: Taking taylor expansion of -1 in a2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (* (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* 1 (sqrt 2)) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 (/ 1 (pow a2 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [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 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) 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 th)) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]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 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a2))) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos th)) (log (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * * * * [misc]progress: [ 3 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 4 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 5 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* 2 (sqrt 2))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* 2 (sqrt 2))) * * * * [misc]progress: [ 6 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 7 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * * * * [misc]progress: [ 8 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 9 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos th)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cos th)) * [exit]simplify: Simplified to (- (cos th)) * [enter]simplify: Simplifying (- (sqrt 2)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt 2)) * [exit]simplify: Simplified to (- (sqrt 2)) * * * * [misc]progress: [ 10 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 11 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 12 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 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 (21 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 13 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 14 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 15 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) 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 (cos th)) * [exit]simplify: Simplified to (sqrt (cos th)) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 16 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * * * * [misc]progress: [ 17 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 18 / 116 ] 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 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 19 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * * * * [misc]progress: [ 21 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 22 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 23 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 24 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cos th) * [exit]simplify: Simplified to (cos th) * * * * [misc]progress: [ 25 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cbrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * * * * [misc]progress: [ 26 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (sqrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * * * * [misc]progress: [ 27 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 28 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos th)) (log (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * * * * [misc]progress: [ 30 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 31 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 32 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* 2 (sqrt 2))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* 2 (sqrt 2))) * * * * [misc]progress: [ 33 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 34 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * * * * [misc]progress: [ 35 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 36 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos th)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cos th)) * [exit]simplify: Simplified to (- (cos th)) * [enter]simplify: Simplifying (- (sqrt 2)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt 2)) * [exit]simplify: Simplified to (- (sqrt 2)) * * * * [misc]progress: [ 37 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 38 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 39 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 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 (21 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 40 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 41 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 42 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) 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 (cos th)) * [exit]simplify: Simplified to (sqrt (cos th)) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 43 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * * * * [misc]progress: [ 44 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 45 / 116 ] 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 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 46 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * * * * [misc]progress: [ 48 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 49 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 50 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 51 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cos th) * [exit]simplify: Simplified to (cos th) * * * * [misc]progress: [ 52 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cbrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * * * * [misc]progress: [ 53 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (sqrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * * * * [misc]progress: [ 54 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 55 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (cos th) (sqrt 2)) a1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (log (/ (* a1 (cos th)) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (* a1 (cos th)) (sqrt 2))) * * * * [misc]progress: [ 57 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (cos th) (sqrt 2)) a1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (exp (/ (* a1 (cos th)) (sqrt 2))) * [exit]simplify: Simplified to (exp (/ (* a1 (cos th)) (sqrt 2))) * * * * [misc]progress: [ 58 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (cos th) (sqrt 2)) a1)) (cbrt (* (/ (cos th) (sqrt 2)) a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (/ (sqrt 2) a1))) (cbrt (/ (cos th) (/ (sqrt 2) a1)))) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (/ (sqrt 2) a1))) (cbrt (/ (cos th) (/ (sqrt 2) a1)))) * [enter]simplify: Simplifying (cbrt (* (/ (cos th) (sqrt 2)) a1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) a1))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) a1))) * * * * [misc]progress: [ 59 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) a1) (* (/ (cos th) (sqrt 2)) a1)) (* (/ (cos th) (sqrt 2)) a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (/ (* (/ a1 (sqrt 2)) (* a1 (cos th))) (/ (/ 2 (cos th)) (* a1 (cos th)))) * [exit]simplify: Simplified to (/ (* (/ a1 (sqrt 2)) (* a1 (cos th))) (/ (/ 2 (cos th)) (* a1 (cos th)))) * * * * [misc]progress: [ 60 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) a1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) a1))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) a1))) * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) a1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) a1))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) a1))) * * * * [misc]progress: [ 61 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) a1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* a1 (cbrt (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* a1 (cbrt (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 63 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) a1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* a1 (sqrt (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* a1 (sqrt (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 64 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) a1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* a1 (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* a1 (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 65 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) a1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* a1 (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* a1 (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * * * * [misc]progress: [ 66 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt 2)) a1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) a1)) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) a1)) * * * * [misc]progress: [ 67 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) a1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* a1 (/ (sqrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* a1 (/ (sqrt (cos th)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 68 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* a1 (/ (sqrt (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* a1 (/ (sqrt (cos th)) (sqrt (sqrt 2)))) * * * * [misc]progress: [ 69 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt 2)) a1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) a1)) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) a1)) * * * * [misc]progress: [ 70 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (cbrt (sqrt 2))) a1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (* a1 (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* a1 (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 71 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt (sqrt 2))) a1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (* a1 (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* a1 (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 72 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) a1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* a1 (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (* a1 (cos th)) (sqrt 2)) * * * * [misc]progress: [ 73 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) a1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* a1 (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (* a1 (cos th)) (sqrt 2)) * * * * [misc]progress: [ 74 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt 2)) a1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ a1 (sqrt 2)) * [exit]simplify: Simplified to (/ a1 (sqrt 2)) * * * * [misc]progress: [ 75 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) a1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* a1 (cos th)) * [exit]simplify: Simplified to (* a1 (cos th)) * * * * [misc]progress: [ 76 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th)) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th)) * * * * [misc]progress: [ 78 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (* a2 a2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (+ (log (* a2 a2)) (- (log (cos th)) (log (sqrt 2)))) * [exit]simplify: Simplified to (+ (log (* a2 a2)) (- (log (cos th)) (log (sqrt 2)))) * * * * [misc]progress: [ 80 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2))) * [exit]simplify: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2))) * * * * [misc]progress: [ 81 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (log (/ (* (* a2 a2) (cos th)) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (* (* a2 a2) (cos th)) (sqrt 2))) * * * * [misc]progress: [ 82 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (exp (* (/ a2 (sqrt 2)) (* a2 (cos th)))) * [exit]simplify: Simplified to (exp (* (/ a2 (sqrt 2)) (* a2 (cos th)))) * * * * [misc]progress: [ 83 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * [exit]simplify: Simplified to (* (* (/ (cos th) 2) (/ (cos th) (sqrt 2))) (* (* (cos th) (* a2 a2)) (* (* a2 a2) (* a2 a2)))) * [exit]simplify: Simplified to (* (* (/ (cos th) 2) (/ (cos th) (sqrt 2))) (* (* (cos th) (* a2 a2)) (* (* a2 a2) (* a2 a2)))) * * * * [misc]progress: [ 84 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (* a2 a2)) (/ 2 (cos th))) (* (* (* a2 a2) (* a2 a2)) (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (* (cos th) (* a2 a2)) (/ 2 (cos th))) (* (* (* a2 a2) (* a2 a2)) (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 85 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * [exit]simplify: Simplified to (* (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * [enter]simplify: Simplifying (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (* a2 a2) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (cbrt (* (/ (* a2 a2) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 86 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (pow (/ (* a2 a2) (/ (sqrt 2) (cos th))) 3) * [exit]simplify: Simplified to (pow (/ (* a2 a2) (/ (sqrt 2) (cos th))) 3) * * * * [misc]progress: [ 87 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (* a2 a2) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (sqrt (* (/ (* a2 a2) (sqrt 2)) (cos th))) * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (* a2 a2) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (sqrt (* (/ (* a2 a2) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 88 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) a2) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* a2 (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (* a2 (cos th)) (sqrt 2)) * * * * [misc]progress: [ 90 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (* a2 a2)) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (* a2 a2)) * * * * [misc]progress: [ 91 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) (* a2 a2)) * [exit]simplify: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) (* a2 a2)) * * * * [misc]progress: [ 92 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cbrt (cos th))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cbrt (cos th))) (cbrt (sqrt 2))) * * * * [misc]progress: [ 93 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cbrt (cos th))) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cbrt (cos th))) (sqrt (sqrt 2))) * * * * [misc]progress: [ 94 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (* a2 a2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (* a2 a2))) * * * * [misc]progress: [ 95 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (sqrt (cos th))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (sqrt (cos th))) (cbrt (sqrt 2))) * * * * [misc]progress: [ 96 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (sqrt (cos th))) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (sqrt (cos th))) (sqrt (sqrt 2))) * * * * [misc]progress: [ 97 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (* a2 a2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (* a2 a2))) * * * * [misc]progress: [ 98 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (cbrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 99 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 100 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th)) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th)) * * * * [misc]progress: [ 101 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th)) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th)) * * * * [misc]progress: [ 102 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (* a2 a2) (sqrt 2)) * [exit]simplify: Simplified to (/ (* a2 a2) (sqrt 2)) * * * * [misc]progress: [ 103 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (* a2 a2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (* (* a2 a2) (cos th)) * [exit]simplify: Simplified to (* (* a2 a2) (cos th)) * * * * [misc]progress: [ 104 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a2 a2))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (+ (- (/ (* 1/24 (* a2 a2)) (/ (sqrt 2) (pow th 4))) (/ (* (* 1/2 th) (* a2 a2)) (/ (sqrt 2) th))) (+ (/ (* (cos th) (* a1 a1)) (sqrt 2)) (/ (* a2 a2) (sqrt 2)))) * * * * [misc]progress: [ 106 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 107 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 108 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (+ (+ (/ (* 1/24 (* a1 a1)) (/ (sqrt 2) (pow th 4))) (/ (* a1 a1) (sqrt 2))) (+ (* (* (* a1 a1) (- 1/2)) (/ (* th th) (sqrt 2))) (/ (* a2 a2) (/ (sqrt 2) (cos th))))) * * * * [misc]progress: [ 109 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 110 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 111 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (/ a1 (sqrt 2)) (* 1/2 (/ (* (pow th 2) a1) (sqrt 2)))) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (+ (/ (* a1 a1) (sqrt 2)) (- (/ (* (cos th) a2) (/ (sqrt 2) a2)) (/ (* (* th a1) (* th a1)) (/ (sqrt 2) 1/2)))) * * * * [misc]progress: [ 112 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (* (cos th) a1) (sqrt 2)) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 113 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (* (cos th) a1) (sqrt 2)) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 114 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * [exit]simplify: Simplified to (+ (- (* (/ a1 (sqrt 2)) (* a1 (cos th))) (* (/ 1/2 (sqrt 2)) (* (* th a2) (* th a2)))) (/ (* a2 a2) (sqrt 2))) * * * * [misc]progress: [ 115 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (/ (* (cos th) (pow a2 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 116 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (/ (* (cos th) (pow a2 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) a2) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) a2) in a2 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (cos th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (cos th) into (cos th) * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos th) 1) into (cos th) * [misc]backup-simplify: Simplify (* (sin th) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos th) 0) into (cos th) * [misc]backup-simplify: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) a2) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) a2) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) a2) into (/ a2 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ a2 (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 a2)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* (- (* 1/2 (/ 1 (sqrt 2)))) a2))) into (- (* 1/2 (/ a2 (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ a2 (sqrt 2)))) in a2 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ a2 (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of 1/2 in a2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ a2 (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (* 0 a2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (* (* 1/24 (/ 1 (sqrt 2))) a2))))) into (* 1/24 (/ a2 (sqrt 2))) * [misc]taylor: Taking taylor expansion of (* 1/24 (/ a2 (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of 1/24 in a2 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (/ a2 (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (* a2 (pow th 2))) (* (/ 1 (sqrt 2)) (* a2 1))) into (- (/ a2 (sqrt 2)) (* 1/2 (/ (* a2 (pow th 2)) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a2)) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a2)) in a2 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a2)) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a2)) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]backup-simplify: Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a2)) into (/ (cos (/ 1 th)) (* a2 (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (* a2 (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (* a2 (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* 0 (sqrt 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqrt 2))) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (* 0 (/ 1 a2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [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 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) 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 th)) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (* (/ 1 (/ 1 a2)) 1)) into (/ (* (cos th) a2) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a2))) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a2))) in a2 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in a2 * [misc]taylor: Taking taylor expansion of (- th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in a2 * [misc]taylor: Taking taylor expansion of (- a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a2))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a2))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]backup-simplify: Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (/ -1 a2)) into (* -1 (/ (cos (/ -1 th)) (* a2 (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a2 (sqrt 2)))) in a2 * [misc]taylor: Taking taylor expansion of -1 in a2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 th)) (* a2 (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ -1 th)) in a2 * [misc]taylor: Taking taylor expansion of (/ -1 th) in a2 * [misc]taylor: Taking taylor expansion of -1 in a2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (* a2 (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* 0 (sqrt 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqrt 2))) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (* -1 (/ (cos (/ -1 th)) (sqrt 2))) into (* -1 (/ (cos (/ -1 th)) (sqrt 2))) * [misc]backup-simplify: Simplify (* -1 (/ (cos (/ -1 th)) (sqrt 2))) into (* -1 (/ (cos (/ -1 th)) (sqrt 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 (/ -1 a2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [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 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) 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 th)) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2))) (* (/ 1 (/ 1 (- a2))) 1)) into (/ (* (cos th) a2) (sqrt 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (cos th) into (cos th) * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos th) 1) into (cos th) * [misc]backup-simplify: Simplify (* (sin th) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos th) 0) into (cos th) * [misc]backup-simplify: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a1 a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (* a1 a1) into (pow a1 2) * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) (pow a1 2)) into (/ (pow a1 2) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* a1 0) (* 0 a1)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 (pow a1 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow a1 2)))) into (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of 1/2 in a1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (* 0 (pow a1 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]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 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) 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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (* (* 1/24 (/ 1 (sqrt 2))) (pow a1 2)))))) into (* 1/24 (/ (pow a1 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (* 1/24 (/ (pow a1 2) (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of 1/24 in a1 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (* 1/24 (/ 1 (sqrt 2))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (+ (* (* 1/24 (/ 1 (sqrt 2))) 0) (* 0 (pow a1 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]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 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) 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 (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a1 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a1 1) 2))) into (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 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 a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]backup-simplify: Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2)) * [misc]backup-simplify: Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 (pow a1 2))) into (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* 1 (sqrt 2)) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a1) 0) (* 0 (/ 1 a1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (* 0 (/ 1 (pow a1 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (* 0 (/ 1 a1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [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 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) 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 th)) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]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 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a1)) 1) 2)) into (/ (* (cos th) (pow a1 2)) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in a1 * [misc]taylor: Taking taylor expansion of (- th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in a1 * [misc]taylor: Taking taylor expansion of (- a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- a1)) in a1 * [misc]taylor: Taking taylor expansion of (- a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]backup-simplify: Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2)) * [misc]backup-simplify: Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 1 (pow a1 2))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ -1 th)) in a1 * [misc]taylor: Taking taylor expansion of (/ -1 th) in a1 * [misc]taylor: Taking taylor expansion of -1 in a1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* 1 (sqrt 2)) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a1) 0) (* 0 (/ -1 a1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 (/ 1 (pow a1 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (* 0 (/ -1 a1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [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 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 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 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) 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 th)) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]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 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a1))) 1) 2)) into (/ (* (cos th) (pow a1 2)) (sqrt 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos th)) (log (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * * * * [misc]progress: [ 3 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 4 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 5 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* 2 (sqrt 2))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* 2 (sqrt 2))) * * * * [misc]progress: [ 6 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 7 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * * * * [misc]progress: [ 8 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 9 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos th)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cos th)) * [exit]simplify: Simplified to (- (cos th)) * [enter]simplify: Simplifying (- (sqrt 2)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt 2)) * [exit]simplify: Simplified to (- (sqrt 2)) * * * * [misc]progress: [ 10 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 11 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 12 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 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 (21 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 13 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 14 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 15 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) 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 (cos th)) * [exit]simplify: Simplified to (sqrt (cos th)) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 16 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * * * * [misc]progress: [ 17 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 18 / 116 ] 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 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 19 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * * * * [misc]progress: [ 21 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 22 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 23 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 24 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cos th) * [exit]simplify: Simplified to (cos th) * * * * [misc]progress: [ 25 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cbrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * * * * [misc]progress: [ 26 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (sqrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * * * * [misc]progress: [ 27 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 28 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos th)) (log (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * * * * [misc]progress: [ 30 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 31 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 32 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* 2 (sqrt 2))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* 2 (sqrt 2))) * * * * [misc]progress: [ 33 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 34 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * * * * [misc]progress: [ 35 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 36 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos th)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cos th)) * [exit]simplify: Simplified to (- (cos th)) * [enter]simplify: Simplifying (- (sqrt 2)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt 2)) * [exit]simplify: Simplified to (- (sqrt 2)) * * * * [misc]progress: [ 37 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 38 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 39 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 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 (21 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 40 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 41 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 42 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) 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 (cos th)) * [exit]simplify: Simplified to (sqrt (cos th)) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 43 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * * * * [misc]progress: [ 44 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 45 / 116 ] 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 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 46 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * * * * [misc]progress: [ 48 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 49 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 50 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 51 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (cos th) * [exit]simplify: Simplified to (cos th) * * * * [misc]progress: [ 52 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cbrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * * * * [misc]progress: [ 53 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (sqrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * * * * [misc]progress: [ 54 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 55 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (cos th) (sqrt 2)) a2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (log (/ (* a2 (cos th)) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (* a2 (cos th)) (sqrt 2))) * * * * [misc]progress: [ 57 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (cos th) (sqrt 2)) a2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (exp (/ (* a2 (cos th)) (sqrt 2))) * [exit]simplify: Simplified to (exp (/ (* a2 (cos th)) (sqrt 2))) * * * * [misc]progress: [ 58 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (cos th) (sqrt 2)) a2)) (cbrt (* (/ (cos th) (sqrt 2)) a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (/ (sqrt 2) a2))) (cbrt (/ (cos th) (/ (sqrt 2) a2)))) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (/ (sqrt 2) a2))) (cbrt (/ (cos th) (/ (sqrt 2) a2)))) * [enter]simplify: Simplifying (cbrt (* (/ (cos th) (sqrt 2)) a2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) a2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) a2))) * * * * [misc]progress: [ 59 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) a2) (* (/ (cos th) (sqrt 2)) a2)) (* (/ (cos th) (sqrt 2)) a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (498 enodes) * [exit]simplify: Simplified to (/ (* (/ a2 (sqrt 2)) (* a2 (cos th))) (/ (/ 2 (cos th)) (* a2 (cos th)))) * [exit]simplify: Simplified to (/ (* (/ a2 (sqrt 2)) (* a2 (cos th))) (/ (/ 2 (cos th)) (* a2 (cos th)))) * * * * [misc]progress: [ 60 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) a2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) a2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) a2))) * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) a2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) a2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) a2))) * * * * [misc]progress: [ 61 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) a2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* a2 (cbrt (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* a2 (cbrt (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 63 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) a2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* a2 (sqrt (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* a2 (sqrt (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 64 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) a2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* a2 (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* a2 (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 65 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) a2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* a2 (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* a2 (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * * * * [misc]progress: [ 66 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt 2)) a2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) a2)) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) a2)) * * * * [misc]progress: [ 67 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) a2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* a2 (/ (sqrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* a2 (/ (sqrt (cos th)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 68 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (* a2 (/ (sqrt (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* a2 (/ (sqrt (cos th)) (sqrt (sqrt 2)))) * * * * [misc]progress: [ 69 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt 2)) a2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) a2)) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) a2)) * * * * [misc]progress: [ 70 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (cbrt (sqrt 2))) a2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (* a2 (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* a2 (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 71 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt (sqrt 2))) a2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (* a2 (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* a2 (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 72 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) a2) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* a2 (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (* a2 (cos th)) (sqrt 2)) * * * * [misc]progress: [ 73 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) a2) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* a2 (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (* a2 (cos th)) (sqrt 2)) * * * * [misc]progress: [ 74 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt 2)) a2) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ a2 (sqrt 2)) * [exit]simplify: Simplified to (/ a2 (sqrt 2)) * * * * [misc]progress: [ 75 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) a2) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* a2 (cos th)) * [exit]simplify: Simplified to (* a2 (cos th)) * * * * [misc]progress: [ 76 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th)) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th)) * * * * [misc]progress: [ 78 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (* a1 a1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (+ (log (* a1 a1)) (- (log (cos th)) (log (sqrt 2)))) * [exit]simplify: Simplified to (+ (log (* a1 a1)) (- (log (cos th)) (log (sqrt 2)))) * * * * [misc]progress: [ 80 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1))) * [exit]simplify: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1))) * * * * [misc]progress: [ 81 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (log (/ (* (* a1 a1) (cos th)) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (* (* a1 a1) (cos th)) (sqrt 2))) * * * * [misc]progress: [ 82 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (exp (* (/ a1 (sqrt 2)) (* a1 (cos th)))) * [exit]simplify: Simplified to (exp (* (/ a1 (sqrt 2)) (* a1 (cos th)))) * * * * [misc]progress: [ 83 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * [exit]simplify: Simplified to (* (* (/ (cos th) 2) (/ (cos th) (sqrt 2))) (* (* (cos th) (* a1 a1)) (* (* a1 a1) (* a1 a1)))) * [exit]simplify: Simplified to (* (* (/ (cos th) 2) (/ (cos th) (sqrt 2))) (* (* (cos th) (* a1 a1)) (* (* a1 a1) (* a1 a1)))) * * * * [misc]progress: [ 84 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (* a1 a1)) (/ 2 (cos th))) (* (* (* a1 a1) (* a1 a1)) (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (* (cos th) (* a1 a1)) (/ 2 (cos th))) (* (* (* a1 a1) (* a1 a1)) (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 85 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) * [exit]simplify: Simplified to (* (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) * [enter]simplify: Simplifying (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (* a1 a1) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (cbrt (* (/ (* a1 a1) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 86 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (pow (/ (* a1 a1) (/ (sqrt 2) (cos th))) 3) * [exit]simplify: Simplified to (pow (/ (* a1 a1) (/ (sqrt 2) (cos th))) 3) * * * * [misc]progress: [ 87 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (* a1 a1) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (sqrt (* (/ (* a1 a1) (sqrt 2)) (cos th))) * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (* a1 a1) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (sqrt (* (/ (* a1 a1) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 88 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) a1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* a1 (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (* a1 (cos th)) (sqrt 2)) * * * * [misc]progress: [ 90 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1)) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1)) * * * * [misc]progress: [ 91 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1)) * [exit]simplify: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1)) * * * * [misc]progress: [ 92 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cbrt (cos th))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cbrt (cos th))) (cbrt (sqrt 2))) * * * * [misc]progress: [ 93 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cbrt (cos th))) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cbrt (cos th))) (sqrt (sqrt 2))) * * * * [misc]progress: [ 94 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (* a1 a1))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (/ (sqrt 2) (* a1 a1))) * * * * [misc]progress: [ 95 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (sqrt (cos th))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (sqrt (cos th))) (cbrt (sqrt 2))) * * * * [misc]progress: [ 96 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (sqrt (cos th))) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (sqrt (cos th))) (sqrt (sqrt 2))) * * * * [misc]progress: [ 97 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (* a1 a1))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (sqrt 2) (* a1 a1))) * * * * [misc]progress: [ 98 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (cbrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 99 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 100 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th)) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th)) * * * * [misc]progress: [ 101 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th)) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th)) * * * * [misc]progress: [ 102 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (* a1 a1) (sqrt 2)) * [exit]simplify: Simplified to (/ (* a1 a1) (sqrt 2)) * * * * [misc]progress: [ 103 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (* a1 a1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (* (* a1 a1) (cos th)) * [exit]simplify: Simplified to (* (* a1 a1) (cos th)) * * * * [misc]progress: [ 104 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) a2) a2)) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (+ (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (* a2 a2) (sqrt 2))) (+ (* (* (* a2 a2) (- 1/2)) (/ (* th th) (sqrt 2))) (/ (* (* a2 a2) 1/24) (/ (sqrt 2) (pow th 4))))) * * * * [misc]progress: [ 106 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 107 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 108 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (+ (- (* (/ 1/24 (sqrt 2)) (* (pow th 4) (* a1 a1))) (* (* (* a1 a1) 1/2) (/ (* th th) (sqrt 2)))) (+ (/ (cos th) (/ (sqrt 2) (* a2 a2))) (/ (* a1 a1) (sqrt 2)))) * * * * [misc]progress: [ 109 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 110 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 111 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (- (/ a2 (sqrt 2)) (* 1/2 (/ (* a2 (pow th 2)) (sqrt 2)))) a2)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (459 enodes) * [exit]simplify: Simplified to (+ (- (/ (* a1 (cos th)) (/ (sqrt 2) a1)) (* (/ 1/2 (sqrt 2)) (* (* th a2) (* th a2)))) (/ (* a2 a2) (sqrt 2))) * * * * [misc]progress: [ 112 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cos th) a2) (sqrt 2)) a2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 113 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cos th) a2) (sqrt 2)) a2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 114 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (+ (- (/ (cos th) (/ (sqrt 2) (* a2 a2))) (* (/ 1/2 (sqrt 2)) (* (* a1 th) (* a1 th)))) (/ (* a1 a1) (sqrt 2))) * * * * [misc]progress: [ 115 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* (cos th) (pow a1 2)) (sqrt 2)) (* (* (/ (cos th) (sqrt 2)) a2) a2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 116 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* (cos th) (pow a1 2)) (sqrt 2)) (* (* (/ (cos th) (sqrt 2)) a2) a2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (/ (cos th) (sqrt 2)) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (pow (cos th) 3) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (pow (cos th) 3) * [exit]simplify: Simplified to (pow (cos th) 3) * [enter]simplify: Simplifying (* 2 (sqrt 2)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (* (sqrt 2) 2) * [exit]simplify: Simplified to (* (sqrt 2) 2) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 3416 additional inputs, on iter 1 have 4584 / 8000 * * * * [misc]points: Computing exacts on every 213 of 3416 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 106 of 3416 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 53 of 3416 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 26 of 3416 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 13 of 3416 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 6 of 3416 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 3416 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 3416 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 1501 additional inputs, on iter 2 have 6499 / 8000 * * * * [misc]points: Computing exacts on every 93 of 1501 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 46 of 1501 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 23 of 1501 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 11 of 1501 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 5 of 1501 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 1501 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 1501 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 651 additional inputs, on iter 3 have 7349 / 8000 * * * * [misc]points: Computing exacts on every 40 of 651 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 20 of 651 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 10 of 651 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 5 of 651 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 651 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 651 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 311 additional inputs, on iter 4 have 7689 / 8000 * * * * [misc]points: Computing exacts on every 19 of 311 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 9 of 311 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 4 of 311 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 311 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 311 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 129 additional inputs, on iter 5 have 7871 / 8000 * * * * [misc]points: Computing exacts on every 8 of 129 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 4 of 129 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 129 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 129 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 57 additional inputs, on iter 6 have 7943 / 8000 * * * * [misc]points: Computing exacts on every 3 of 57 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 57 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 27 additional inputs, on iter 7 have 7973 / 8000 * * * * [misc]points: Computing exacts for 27 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 8 have 7987 / 8000 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 9 have 7991 / 8000 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 10 have 7996 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 11 have 7998 / 8000 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 8001 points with exact outputs