* [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 123 additional inputs, on iter 1 have 133 / 256 * * * * [misc]points: Computing exacts on every 7 of 123 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 123 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 123 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 55 additional inputs, on iter 2 have 201 / 256 * * * * [misc]points: Computing exacts on every 3 of 55 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 55 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 18 additional inputs, on iter 3 have 238 / 256 * * * * [misc]points: Computing exacts for 18 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 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [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 258 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 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a1 a1 (* a2 a2))) * * [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 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 2 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 3 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 130 ] 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: [ 5 / 130 ] 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: [ 6 / 130 ] 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: [ 7 / 130 ] 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: [ 8 / 130 ] 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: [ 9 / 130 ] 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: [ 10 / 130 ] 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: [ 11 / 130 ] 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: [ 12 / 130 ] 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: [ 13 / 130 ] 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: [ 14 / 130 ] 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: [ 15 / 130 ] 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: [ 16 / 130 ] 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: [ 17 / 130 ] 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: [ 18 / 130 ] 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: [ 19 / 130 ] 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: [ 20 / 130 ] 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: [ 21 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 130 ] 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: [ 23 / 130 ] 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: [ 24 / 130 ] 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: [ 25 / 130 ] 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: [ 26 / 130 ] 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: [ 27 / 130 ] 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: [ 28 / 130 ] 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: [ 29 / 130 ] 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: [ 30 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 31 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 32 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 130 ] 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: [ 34 / 130 ] 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: [ 35 / 130 ] 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: [ 36 / 130 ] 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: [ 37 / 130 ] 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: [ 38 / 130 ] 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: [ 39 / 130 ] 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: [ 40 / 130 ] 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: [ 41 / 130 ] 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: [ 42 / 130 ] 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: [ 43 / 130 ] 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: [ 44 / 130 ] 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: [ 45 / 130 ] 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: [ 46 / 130 ] 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: [ 47 / 130 ] 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: [ 48 / 130 ] 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: [ 49 / 130 ] 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: [ 50 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 130 ] 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: [ 52 / 130 ] 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: [ 53 / 130 ] 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: [ 54 / 130 ] 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: [ 55 / 130 ] 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: [ 56 / 130 ] 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: [ 57 / 130 ] 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: [ 58 / 130 ] 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 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ (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 (expm1 (* (/ (* a1 a1) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (expm1 (* (/ (* a1 a1) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 60 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ (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 (log1p (* (/ (* a1 a1) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (log1p (* (/ (* a1 a1) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 61 / 130 ] 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: [ 62 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 130 ] 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: [ 64 / 130 ] 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: [ 65 / 130 ] 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: [ 66 / 130 ] 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: [ 67 / 130 ] 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: [ 68 / 130 ] 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: [ 69 / 130 ] 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: [ 70 / 130 ] 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: [ 71 / 130 ] 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: [ 72 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 130 ] 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 / 130 ] 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: [ 75 / 130 ] 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: [ 76 / 130 ] 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: [ 77 / 130 ] 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: [ 78 / 130 ] 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: [ 79 / 130 ] 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: [ 80 / 130 ] 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: [ 81 / 130 ] 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: [ 82 / 130 ] 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: [ 83 / 130 ] 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: [ 84 / 130 ] 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: [ 85 / 130 ] 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: [ 86 / 130 ] 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: [ 87 / 130 ] 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: [ 88 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ (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 (expm1 (* (/ (* a2 a2) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (expm1 (* (/ (* a2 a2) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 90 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ (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 (log1p (* (/ (* a2 a2) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (log1p (* (/ (* a2 a2) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 91 / 130 ] 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: [ 92 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 130 ] 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: [ 94 / 130 ] 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: [ 95 / 130 ] 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: [ 96 / 130 ] 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: [ 97 / 130 ] 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: [ 98 / 130 ] 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: [ 99 / 130 ] 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: [ 100 / 130 ] 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: [ 101 / 130 ] 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: [ 102 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 130 ] 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: [ 104 / 130 ] 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: [ 105 / 130 ] 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: [ 106 / 130 ] 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: [ 107 / 130 ] 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: [ 108 / 130 ] 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: [ 109 / 130 ] 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: [ 110 / 130 ] 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: [ 111 / 130 ] 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: [ 112 / 130 ] 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: [ 113 / 130 ] 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: [ 114 / 130 ] 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: [ 115 / 130 ] 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: [ 116 / 130 ] 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: [ 117 / 130 ] 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: [ 118 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 119 / 130 ] 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 (109 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (fma (* a2 a2) (- (fma (/ (pow th 4) (sqrt 2)) 1/24 (/ 1 (sqrt 2))) (* (/ 1/2 (sqrt 2)) (* th th))) (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * * * [misc]progress: [ 120 / 130 ] 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 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a1 a1 (* a2 a2))) * * * * [misc]progress: [ 121 / 130 ] 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 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a1 a1 (* a2 a2))) * * * * [misc]progress: [ 122 / 130 ] 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 (109 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (fma (* a1 a1) (- (fma (/ (pow th 4) (sqrt 2)) 1/24 (/ 1 (sqrt 2))) (* 1/2 (/ (* th th) (sqrt 2)))) (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * * * * [misc]progress: [ 123 / 130 ] 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 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a1 a1 (* a2 a2))) * * * * [misc]progress: [ 124 / 130 ] 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 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a1 a1 (* a2 a2))) * * * * [misc]progress: [ 125 / 130 ] 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 (92 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * [exit]simplify: Simplified to (- (fma (* a2 a2) (/ (cos th) (sqrt 2)) (/ (* a1 a1) (sqrt 2))) (/ (* (* a1 th) (* a1 th)) (/ (sqrt 2) 1/2))) * * * * [misc]progress: [ 126 / 130 ] 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 (42 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a2 a2 (* a1 a1))) * * * * [misc]progress: [ 127 / 130 ] 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 (42 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a2 a2 (* a1 a1))) * * * * [misc]progress: [ 128 / 130 ] 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 (90 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * [exit]simplify: Simplified to (fma (* (/ (* a2 a2) (sqrt 2)) (- 1/2)) (* th th) (fma (* a1 a1) (/ (cos th) (sqrt 2)) (/ (* a2 a2) (sqrt 2)))) * * * * [misc]progress: [ 129 / 130 ] 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 (64 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 130 / 130 ] 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 (64 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 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 / 124 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 2 / 124 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 3 / 124 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 124 ] 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: [ 5 / 124 ] 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: [ 6 / 124 ] 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: [ 7 / 124 ] 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: [ 8 / 124 ] 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: [ 9 / 124 ] 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: [ 10 / 124 ] 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: [ 11 / 124 ] 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: [ 12 / 124 ] 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: [ 13 / 124 ] 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: [ 14 / 124 ] 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: [ 15 / 124 ] 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: [ 16 / 124 ] 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: [ 17 / 124 ] 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: [ 18 / 124 ] 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: [ 19 / 124 ] 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: [ 20 / 124 ] 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: [ 21 / 124 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 124 ] 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: [ 23 / 124 ] 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: [ 24 / 124 ] 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: [ 25 / 124 ] 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: [ 26 / 124 ] 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: [ 27 / 124 ] 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: [ 28 / 124 ] 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: [ 29 / 124 ] 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: [ 30 / 124 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 31 / 124 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 32 / 124 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 124 ] 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: [ 34 / 124 ] 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: [ 35 / 124 ] 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: [ 36 / 124 ] 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: [ 37 / 124 ] 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: [ 38 / 124 ] 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: [ 39 / 124 ] 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: [ 40 / 124 ] 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: [ 41 / 124 ] 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: [ 42 / 124 ] 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: [ 43 / 124 ] 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: [ 44 / 124 ] 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: [ 45 / 124 ] 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: [ 46 / 124 ] 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: [ 47 / 124 ] 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: [ 48 / 124 ] 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: [ 49 / 124 ] 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: [ 50 / 124 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 124 ] 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: [ 52 / 124 ] 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: [ 53 / 124 ] 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: [ 54 / 124 ] 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: [ 55 / 124 ] 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: [ 56 / 124 ] 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: [ 57 / 124 ] 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: [ 58 / 124 ] 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 / 124 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ (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 (expm1 (/ (cos th) (/ (sqrt 2) a2))) * [exit]simplify: Simplified to (expm1 (/ (cos th) (/ (sqrt 2) a2))) * * * * [misc]progress: [ 60 / 124 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ (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 (log1p (/ (cos th) (/ (sqrt 2) a2))) * [exit]simplify: Simplified to (log1p (/ (cos th) (/ (sqrt 2) a2))) * * * * [misc]progress: [ 61 / 124 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 124 ] 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: [ 63 / 124 ] 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: [ 64 / 124 ] 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: [ 65 / 124 ] 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: [ 66 / 124 ] 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: [ 67 / 124 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 124 ] 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: [ 69 / 124 ] 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: [ 70 / 124 ] 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: [ 71 / 124 ] 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: [ 72 / 124 ] 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: [ 73 / 124 ] 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: [ 74 / 124 ] 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: [ 75 / 124 ] 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: [ 76 / 124 ] 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: [ 77 / 124 ] 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: [ 78 / 124 ] 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: [ 79 / 124 ] 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: [ 80 / 124 ] 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: [ 81 / 124 ] 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: [ 82 / 124 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 124 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ (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 (expm1 (* (/ (* a1 a1) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (expm1 (* (/ (* a1 a1) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 84 / 124 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ (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 (log1p (* (/ (* a1 a1) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (log1p (* (/ (* a1 a1) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 85 / 124 ] 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: [ 86 / 124 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 124 ] 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: [ 88 / 124 ] 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: [ 89 / 124 ] 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: [ 90 / 124 ] 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: [ 91 / 124 ] 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: [ 92 / 124 ] 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: [ 93 / 124 ] 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: [ 94 / 124 ] 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: [ 95 / 124 ] 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: [ 96 / 124 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 124 ] 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: [ 98 / 124 ] 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: [ 99 / 124 ] 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: [ 100 / 124 ] 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: [ 101 / 124 ] 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: [ 102 / 124 ] 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: [ 103 / 124 ] 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: [ 104 / 124 ] 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: [ 105 / 124 ] 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: [ 106 / 124 ] 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: [ 107 / 124 ] 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: [ 108 / 124 ] 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: [ 109 / 124 ] 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: [ 110 / 124 ] 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: [ 111 / 124 ] 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: [ 112 / 124 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 124 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * [exit]simplify: Simplified to (fma (- (fma (/ (pow th 4) (sqrt 2)) 1/24 (/ 1 (sqrt 2))) (/ (* th th) (/ (sqrt 2) 1/2))) (* a2 a2) (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * * * [misc]progress: [ 114 / 124 ] 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 (54 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 115 / 124 ] 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 (54 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 116 / 124 ] 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 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * [exit]simplify: Simplified to (fma (- (fma (/ (pow th 4) (sqrt 2)) 1/24 (/ 1 (sqrt 2))) (* 1/2 (/ (* th th) (sqrt 2)))) (* a1 a1) (* (/ a2 (sqrt 2)) (* (cos th) a2))) * * * * [misc]progress: [ 117 / 124 ] 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 (54 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 118 / 124 ] 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 (54 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 119 / 124 ] 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 (35 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (494 enodes) * [exit]simplify: Simplified to (- (fma (* a1 a1) (/ (cos th) (sqrt 2)) (/ (* a2 a2) (sqrt 2))) (/ (* (* th a2) (* th a2)) (/ (sqrt 2) 1/2))) * * * * [misc]progress: [ 120 / 124 ] 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 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a2 a2 (* a1 a1))) * * * * [misc]progress: [ 121 / 124 ] 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 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a2 a2 (* a1 a1))) * * * * [misc]progress: [ 122 / 124 ] 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 (95 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (- (fma (* a2 a2) (/ (cos th) (sqrt 2)) (/ (* a1 a1) (sqrt 2))) (/ (* (* a1 th) (* a1 th)) (/ (sqrt 2) 1/2))) * * * * [misc]progress: [ 123 / 124 ] 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 (45 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 124 / 124 ] 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 (45 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 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 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 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: [ 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 1) * [misc]approximate: Taking taylor expansion of (expm1 (/ (cos th) (sqrt 2))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ (cos th) (sqrt 2))) in th * [misc]taylor: Rewrote expression to (- (exp (/ (cos th) (sqrt 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (cos th) (sqrt 2))) 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]backup-simplify: Simplify (exp (/ 1 (sqrt 2))) into (exp (/ 1 (sqrt 2))) * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (/ (cos th) (sqrt 2))) in th * [misc]taylor: Rewrote expression to (- (exp (/ (cos th) (sqrt 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (cos th) (sqrt 2))) 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]backup-simplify: Simplify (exp (/ 1 (sqrt 2))) into (exp (/ 1 (sqrt 2))) * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (sqrt 2))) -1) into (- (exp (/ 1 (sqrt 2))) 1) * [misc]backup-simplify: Simplify (- (exp (/ 1 (sqrt 2))) 1) into (- (exp (/ 1 (sqrt 2))) 1) * [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 (* (exp (/ 1 (sqrt 2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 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 (* (exp (/ 1 (sqrt 2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (sqrt 2)))) 1) 1)))) into (* -1/2 (/ (exp (/ 1 (sqrt 2))) (sqrt 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (/ (exp (/ 1 (sqrt 2))) (sqrt 2))) 0) into (- (* 1/2 (/ (exp (/ 1 (sqrt 2))) (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (exp (/ 1 (sqrt 2))) (sqrt 2)))) into (- (* 1/2 (/ (exp (/ 1 (sqrt 2))) (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 (* (exp (/ 1 (sqrt 2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/2 (/ 1 (sqrt 2)))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 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 (* (exp (/ 1 (sqrt 2))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- (* 1/2 (/ 1 (sqrt 2)))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/2 (/ 1 (sqrt 2)))) 2) 2)) (* (/ (pow (* 1/24 (/ 1 (sqrt 2))) 1) 1)))) into (* (+ (* 1/8 (/ 1 (pow (sqrt 2) 2))) (* 1/24 (/ 1 (sqrt 2)))) (exp (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/8 (/ 1 (pow (sqrt 2) 2))) (* 1/24 (/ 1 (sqrt 2)))) (exp (/ 1 (sqrt 2)))) 0) into (+ (* 1/24 (/ (exp (/ 1 (sqrt 2))) (sqrt 2))) (* 1/8 (/ (exp (/ 1 (sqrt 2))) (pow (sqrt 2) 2)))) * [misc]backup-simplify: Simplify (+ (* 1/24 (/ (exp (/ 1 (sqrt 2))) (sqrt 2))) (* 1/8 (/ (exp (/ 1 (sqrt 2))) (pow (sqrt 2) 2)))) into (+ (* 1/24 (/ (exp (/ 1 (sqrt 2))) (sqrt 2))) (* 1/8 (/ (exp (/ 1 (sqrt 2))) (pow (sqrt 2) 2)))) * [misc]backup-simplify: Simplify (+ (* (+ (* 1/24 (/ (exp (/ 1 (sqrt 2))) (sqrt 2))) (* 1/8 (/ (exp (/ 1 (sqrt 2))) (pow (sqrt 2) 2)))) (pow th 4)) (+ (* (- (* 1/2 (/ (exp (/ 1 (sqrt 2))) (sqrt 2)))) (pow th 2)) (- (exp (/ 1 (sqrt 2))) 1))) into (- (+ (* 1/8 (/ (* (pow th 4) (exp (/ 1 (sqrt 2)))) (pow (sqrt 2) 2))) (+ (* 1/24 (/ (* (pow th 4) (exp (/ 1 (sqrt 2)))) (sqrt 2))) (exp (/ 1 (sqrt 2))))) (+ 1 (* 1/2 (/ (* (pow th 2) (exp (/ 1 (sqrt 2)))) (sqrt 2))))) * [misc]approximate: Taking taylor expansion of (expm1 (/ (cos (/ 1 th)) (sqrt 2))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ (cos (/ 1 th)) (sqrt 2))) in th * [misc]taylor: Rewrote expression to (- (exp (/ (cos (/ 1 th)) (sqrt 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (cos (/ 1 th)) (sqrt 2))) 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]backup-simplify: Simplify (exp (/ (cos (/ 1 th)) (sqrt 2))) into (exp (/ (cos (/ 1 th)) (sqrt 2))) * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (/ (cos (/ 1 th)) (sqrt 2))) in th * [misc]taylor: Rewrote expression to (- (exp (/ (cos (/ 1 th)) (sqrt 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (cos (/ 1 th)) (sqrt 2))) 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]backup-simplify: Simplify (exp (/ (cos (/ 1 th)) (sqrt 2))) into (exp (/ (cos (/ 1 th)) (sqrt 2))) * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (cos (/ 1 th)) (sqrt 2))) -1) into (- (exp (/ (cos (/ 1 th)) (sqrt 2))) 1) * [misc]backup-simplify: Simplify (- (exp (/ (cos (/ 1 th)) (sqrt 2))) 1) into (- (exp (/ (cos (/ 1 th)) (sqrt 2))) 1) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (cos (/ 1 th)) (sqrt 2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (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 (* (exp (/ (cos (/ 1 th)) (sqrt 2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 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 (* (exp (/ (cos (/ 1 th)) (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 (+ 0 0) 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 (* (exp (/ (cos (/ 1 th)) (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 (+ 0 0) 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 (* (exp (/ (cos (/ 1 th)) (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 (+ 0 0) 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 (* (exp (/ (cos (/ 1 th)) (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ (cos (/ 1 (/ 1 th))) (sqrt 2))) 1) into (- (exp (/ (cos th) (sqrt 2))) 1) * [misc]approximate: Taking taylor expansion of (expm1 (/ (cos (/ 1 (- th))) (sqrt 2))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (/ (cos (/ 1 (- th))) (sqrt 2))) in th * [misc]taylor: Rewrote expression to (- (exp (/ (cos (/ 1 (- th))) (sqrt 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (cos (/ 1 (- th))) (sqrt 2))) 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]backup-simplify: Simplify (exp (/ (cos (/ -1 th)) (sqrt 2))) into (exp (/ (cos (/ -1 th)) (sqrt 2))) * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (/ (cos (/ 1 (- th))) (sqrt 2))) in th * [misc]taylor: Rewrote expression to (- (exp (/ (cos (/ 1 (- th))) (sqrt 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (cos (/ 1 (- th))) (sqrt 2))) 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]backup-simplify: Simplify (exp (/ (cos (/ -1 th)) (sqrt 2))) into (exp (/ (cos (/ -1 th)) (sqrt 2))) * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (cos (/ -1 th)) (sqrt 2))) -1) into (- (exp (/ (cos (/ -1 th)) (sqrt 2))) 1) * [misc]backup-simplify: Simplify (- (exp (/ (cos (/ -1 th)) (sqrt 2))) 1) into (- (exp (/ (cos (/ -1 th)) (sqrt 2))) 1) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (cos (/ -1 th)) (sqrt 2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (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 (* (exp (/ (cos (/ -1 th)) (sqrt 2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 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 (* (exp (/ (cos (/ -1 th)) (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 (+ 0 0) 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 (* (exp (/ (cos (/ -1 th)) (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 (+ 0 0) 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 (* (exp (/ (cos (/ -1 th)) (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 (+ 0 0) 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 (* (exp (/ (cos (/ -1 th)) (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (exp (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2))) 1) into (- (exp (/ (cos th) (sqrt 2))) 1) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (log1p (expm1 (/ (cos th) (sqrt 2)))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (/ (cos th) (sqrt 2)))) in th * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (/ (cos th) (sqrt 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (/ (cos th) (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (/ (cos th) (sqrt 2))) in th * [misc]taylor: Rewrote expression to (- (exp (/ (cos th) (sqrt 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (cos th) (sqrt 2))) 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]backup-simplify: Simplify (exp (/ 1 (sqrt 2))) into (exp (/ 1 (sqrt 2))) * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (sqrt 2))) -1) into (- (exp (/ 1 (sqrt 2))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (/ 1 (sqrt 2))) 1)) into (exp (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (log (exp (/ 1 (sqrt 2)))) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (/ (cos th) (sqrt 2)))) in th * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (/ (cos th) (sqrt 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (/ (cos th) (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (/ (cos th) (sqrt 2))) in th * [misc]taylor: Rewrote expression to (- (exp (/ (cos th) (sqrt 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (cos th) (sqrt 2))) 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]backup-simplify: Simplify (exp (/ 1 (sqrt 2))) into (exp (/ 1 (sqrt 2))) * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ 1 (sqrt 2))) -1) into (- (exp (/ 1 (sqrt 2))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (/ 1 (sqrt 2))) 1)) into (exp (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (log (exp (/ 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 (* (exp (/ 1 (sqrt 2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ 1 (sqrt 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 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 (* (exp (/ 1 (sqrt 2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (sqrt 2)))) 1) 1)))) into (* -1/2 (/ (exp (/ 1 (sqrt 2))) (sqrt 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (/ (exp (/ 1 (sqrt 2))) (sqrt 2))) 0) into (- (* 1/2 (/ (exp (/ 1 (sqrt 2))) (sqrt 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ (exp (/ 1 (sqrt 2))) (sqrt 2))))) into (- (* 1/2 (/ (exp (/ 1 (sqrt 2))) (sqrt 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ 1 (sqrt 2))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ (exp (/ 1 (sqrt 2))) (sqrt 2))))) 1)) (pow (exp (/ 1 (sqrt 2))) 1)))) 2) into (/ -1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ -1/2 (sqrt 2)) into (/ -1/2 (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 (* (exp (/ 1 (sqrt 2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/2 (/ 1 (sqrt 2)))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ 1 (sqrt 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/2 (/ (exp (/ 1 (sqrt 2))) (sqrt 2))))) 1)) (pow (exp (/ 1 (sqrt 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (sqrt 2))) 1)))) 6) 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 (* (exp (/ 1 (sqrt 2))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (- (* 1/2 (/ 1 (sqrt 2)))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/2 (/ 1 (sqrt 2)))) 2) 2)) (* (/ (pow (* 1/24 (/ 1 (sqrt 2))) 1) 1)))) into (* (+ (* 1/8 (/ 1 (pow (sqrt 2) 2))) (* 1/24 (/ 1 (sqrt 2)))) (exp (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/8 (/ 1 (pow (sqrt 2) 2))) (* 1/24 (/ 1 (sqrt 2)))) (exp (/ 1 (sqrt 2)))) 0) into (+ (* 1/24 (/ (exp (/ 1 (sqrt 2))) (sqrt 2))) (* 1/8 (/ (exp (/ 1 (sqrt 2))) (pow (sqrt 2) 2)))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/24 (/ (exp (/ 1 (sqrt 2))) (sqrt 2))) (* 1/8 (/ (exp (/ 1 (sqrt 2))) (pow (sqrt 2) 2))))) into (+ (* 1/24 (/ (exp (/ 1 (sqrt 2))) (sqrt 2))) (* 1/8 (/ (exp (/ 1 (sqrt 2))) (pow (sqrt 2) 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ 1 (sqrt 2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/2 (/ (exp (/ 1 (sqrt 2))) (sqrt 2))))) 1)) (pow (exp (/ 1 (sqrt 2))) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/2 (/ (exp (/ 1 (sqrt 2))) (sqrt 2))))) 2)) (pow (exp (/ 1 (sqrt 2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ 1 (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (+ (* 1/24 (/ (exp (/ 1 (sqrt 2))) (sqrt 2))) (* 1/8 (/ (exp (/ 1 (sqrt 2))) (pow (sqrt 2) 2))))) 1)) (pow (exp (/ 1 (sqrt 2))) 1)))) 24) into (/ 1/24 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1/24 (sqrt 2)) into (/ 1/24 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (/ -1/2 (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 (log1p (expm1 (/ (cos (/ 1 th)) (sqrt 2)))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (/ (cos (/ 1 th)) (sqrt 2)))) in th * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (/ (cos (/ 1 th)) (sqrt 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (/ (cos (/ 1 th)) (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (/ (cos (/ 1 th)) (sqrt 2))) in th * [misc]taylor: Rewrote expression to (- (exp (/ (cos (/ 1 th)) (sqrt 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (cos (/ 1 th)) (sqrt 2))) 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]backup-simplify: Simplify (exp (/ (cos (/ 1 th)) (sqrt 2))) into (exp (/ (cos (/ 1 th)) (sqrt 2))) * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (cos (/ 1 th)) (sqrt 2))) -1) into (- (exp (/ (cos (/ 1 th)) (sqrt 2))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (/ (cos (/ 1 th)) (sqrt 2))) 1)) into (exp (/ (cos (/ 1 th)) (sqrt 2))) * [misc]backup-simplify: Simplify (log (exp (/ (cos (/ 1 th)) (sqrt 2)))) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (/ (cos (/ 1 th)) (sqrt 2)))) in th * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (/ (cos (/ 1 th)) (sqrt 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (/ (cos (/ 1 th)) (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (/ (cos (/ 1 th)) (sqrt 2))) in th * [misc]taylor: Rewrote expression to (- (exp (/ (cos (/ 1 th)) (sqrt 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (cos (/ 1 th)) (sqrt 2))) 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]backup-simplify: Simplify (exp (/ (cos (/ 1 th)) (sqrt 2))) into (exp (/ (cos (/ 1 th)) (sqrt 2))) * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (cos (/ 1 th)) (sqrt 2))) -1) into (- (exp (/ (cos (/ 1 th)) (sqrt 2))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (/ (cos (/ 1 th)) (sqrt 2))) 1)) into (exp (/ (cos (/ 1 th)) (sqrt 2))) * [misc]backup-simplify: Simplify (log (exp (/ (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 (* (exp (/ (cos (/ 1 th)) (sqrt 2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 1)))) 1) 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 (* (exp (/ (cos (/ 1 th)) (sqrt 2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 1)))) 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 (* (exp (/ (cos (/ 1 th)) (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 1)))) 6) 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 (* (exp (/ (cos (/ 1 th)) (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 1)))) 24) 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 (* (exp (/ (cos (/ 1 th)) (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 1)))) 120) 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 (* (exp (/ (cos (/ 1 th)) (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ (cos (/ 1 th)) (sqrt 2))) 1)))) 720) 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 (log1p (expm1 (/ (cos (/ 1 (- th))) (sqrt 2)))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (log1p (expm1 (/ (cos (/ 1 (- th))) (sqrt 2)))) in th * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (/ (cos (/ 1 (- th))) (sqrt 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (/ (cos (/ 1 (- th))) (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (/ (cos (/ 1 (- th))) (sqrt 2))) in th * [misc]taylor: Rewrote expression to (- (exp (/ (cos (/ 1 (- th))) (sqrt 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (cos (/ 1 (- th))) (sqrt 2))) 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]backup-simplify: Simplify (exp (/ (cos (/ -1 th)) (sqrt 2))) into (exp (/ (cos (/ -1 th)) (sqrt 2))) * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (cos (/ -1 th)) (sqrt 2))) -1) into (- (exp (/ (cos (/ -1 th)) (sqrt 2))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (/ (cos (/ -1 th)) (sqrt 2))) 1)) into (exp (/ (cos (/ -1 th)) (sqrt 2))) * [misc]backup-simplify: Simplify (log (exp (/ (cos (/ -1 th)) (sqrt 2)))) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (log1p (expm1 (/ (cos (/ 1 (- th))) (sqrt 2)))) in th * [misc]taylor: Rewrote expression to (log (+ 1 (expm1 (/ (cos (/ 1 (- th))) (sqrt 2))))) * [misc]taylor: Taking taylor expansion of (+ 1 (expm1 (/ (cos (/ 1 (- th))) (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (/ (cos (/ 1 (- th))) (sqrt 2))) in th * [misc]taylor: Rewrote expression to (- (exp (/ (cos (/ 1 (- th))) (sqrt 2))) 1) * [misc]taylor: Taking taylor expansion of (exp (/ (cos (/ 1 (- th))) (sqrt 2))) 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]backup-simplify: Simplify (exp (/ (cos (/ -1 th)) (sqrt 2))) into (exp (/ (cos (/ -1 th)) (sqrt 2))) * [misc]taylor: Taking taylor expansion of 1 in th * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (/ (cos (/ -1 th)) (sqrt 2))) -1) into (- (exp (/ (cos (/ -1 th)) (sqrt 2))) 1) * [misc]backup-simplify: Simplify (+ 1 (- (exp (/ (cos (/ -1 th)) (sqrt 2))) 1)) into (exp (/ (cos (/ -1 th)) (sqrt 2))) * [misc]backup-simplify: Simplify (log (exp (/ (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 (* (exp (/ (cos (/ -1 th)) (sqrt 2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 1)))) 1) 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 (* (exp (/ (cos (/ -1 th)) (sqrt 2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 1)))) 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 (* (exp (/ (cos (/ -1 th)) (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 1)))) 6) 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 (* (exp (/ (cos (/ -1 th)) (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 1)))) 24) 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 (* (exp (/ (cos (/ -1 th)) (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 1)))) 120) 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 (* (exp (/ (cos (/ -1 th)) (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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (exp (/ (cos (/ -1 th)) (sqrt 2))) 1)))) 720) 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: simplifying candidates * * * * [misc]progress: [ 1 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 2 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 3 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 92 ] 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: [ 5 / 92 ] 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: [ 6 / 92 ] 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: [ 7 / 92 ] 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: [ 8 / 92 ] 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: [ 9 / 92 ] 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: [ 10 / 92 ] 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: [ 11 / 92 ] 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: [ 12 / 92 ] 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: [ 13 / 92 ] 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: [ 14 / 92 ] 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: [ 15 / 92 ] 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: [ 16 / 92 ] 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: [ 17 / 92 ] 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: [ 18 / 92 ] 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: [ 19 / 92 ] 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: [ 20 / 92 ] 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: [ 21 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 92 ] 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: [ 23 / 92 ] 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: [ 24 / 92 ] 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: [ 25 / 92 ] 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: [ 26 / 92 ] 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: [ 27 / 92 ] 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: [ 28 / 92 ] 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: [ 29 / 92 ] 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: [ 30 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 31 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 32 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 92 ] 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: [ 34 / 92 ] 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: [ 35 / 92 ] 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: [ 36 / 92 ] 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: [ 37 / 92 ] 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: [ 38 / 92 ] 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: [ 39 / 92 ] 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: [ 40 / 92 ] 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: [ 41 / 92 ] 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: [ 42 / 92 ] 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: [ 43 / 92 ] 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: [ 44 / 92 ] 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: [ 45 / 92 ] 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: [ 46 / 92 ] 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: [ 47 / 92 ] 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: [ 48 / 92 ] 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: [ 49 / 92 ] 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: [ 50 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 92 ] 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: [ 52 / 92 ] 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: [ 53 / 92 ] 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: [ 54 / 92 ] 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: [ 55 / 92 ] 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: [ 56 / 92 ] 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: [ 57 / 92 ] 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: [ 58 / 92 ] 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 / 92 ] 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: [ 60 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (expm1 (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (expm1 (expm1 (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (expm1 (expm1 (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 61 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (expm1 (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 62 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (expm1 (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (log (expm1 (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (log (expm1 (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 65 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (expm1 (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (exp (expm1 (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (exp (expm1 (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 66 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 (/ (cos th) (sqrt 2)))) (cbrt (expm1 (/ (cos th) (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 (/ (cos th) (sqrt 2)))) (cbrt (expm1 (/ (cos th) (sqrt 2))))) * [exit]simplify: Simplified to (* (cbrt (expm1 (/ (cos th) (sqrt 2)))) (cbrt (expm1 (/ (cos th) (sqrt 2))))) * [enter]simplify: Simplifying (cbrt (expm1 (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (expm1 (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (expm1 (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 67 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (expm1 (/ (cos th) (sqrt 2))) (expm1 (/ (cos th) (sqrt 2)))) (expm1 (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (pow (expm1 (/ (cos th) (sqrt 2))) 3) * [exit]simplify: Simplified to (pow (expm1 (/ (cos th) (sqrt 2))) 3) * * * * [misc]progress: [ 68 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (sqrt (expm1 (/ (cos th) (sqrt 2)))) * [enter]simplify: Simplifying (sqrt (expm1 (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (sqrt (expm1 (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (sqrt (expm1 (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 69 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 (expm1 (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (+ (expm1 (/ (cos th) (sqrt 2))) 1) * [exit]simplify: Simplified to (+ (expm1 (/ (cos th) (sqrt 2))) 1) * * * * [misc]progress: [ 71 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log1p (expm1 (/ (cos th) (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 72 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log1p (expm1 (/ (cos th) (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 73 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log1p (expm1 (/ (cos th) (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 76 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log1p (expm1 (/ (cos th) (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 77 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (expm1 (/ (cos th) (sqrt 2))))) (cbrt (log1p (expm1 (/ (cos th) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (9 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 (log1p (expm1 (/ (cos th) (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 78 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log1p (expm1 (/ (cos th) (sqrt 2)))) (log1p (expm1 (/ (cos th) (sqrt 2))))) (log1p (expm1 (/ (cos th) (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * * * * [misc]progress: [ 79 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (expm1 (/ (cos th) (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [enter]simplify: Simplifying (sqrt (log1p (expm1 (/ (cos th) (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 80 / 92 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (log1p (expm1 (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))))) (* a2 a2))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (fma (* a2 a2) (- (fma (/ (pow th 4) (sqrt 2)) 1/24 (/ 1 (sqrt 2))) (* (/ th (sqrt 2)) (* 1/2 th))) (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * * * [misc]progress: [ 82 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (log1p (expm1 (/ (cos th) (sqrt 2)))) (* a2 a2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ (fma a1 a1 (* a2 a2)) (/ (sqrt 2) (cos th))) * * * * [misc]progress: [ 83 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (log1p (expm1 (/ (cos th) (sqrt 2)))) (* a2 a2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ (fma a1 a1 (* a2 a2)) (/ (sqrt 2) (cos th))) * * * * [misc]progress: [ 84 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a1 a1)) (* (log1p (expm1 (/ (cos th) (sqrt 2)))) (* a2 a2))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (fma (* a1 a1) (- (fma (/ (pow th 4) (sqrt 2)) 1/24 (/ 1 (sqrt 2))) (/ (* th (* 1/2 th)) (sqrt 2))) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * * * [misc]progress: [ 85 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (log1p (expm1 (/ (cos th) (sqrt 2)))) (* a2 a2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ (fma a1 a1 (* a2 a2)) (/ (sqrt 2) (cos th))) * * * * [misc]progress: [ 86 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (log1p (expm1 (/ (cos th) (sqrt 2)))) (* a2 a2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (/ (fma a1 a1 (* a2 a2)) (/ (sqrt 2) (cos th))) * * * * [misc]progress: [ 87 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (log1p (- (+ (* 1/8 (/ (* (pow th 4) (exp (/ 1 (sqrt 2)))) (pow (sqrt 2) 2))) (+ (* 1/24 (/ (* (pow th 4) (exp (/ 1 (sqrt 2)))) (sqrt 2))) (exp (/ 1 (sqrt 2))))) (+ 1 (* 1/2 (/ (* (pow th 2) (exp (/ 1 (sqrt 2)))) (sqrt 2)))))) (* a2 a2))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: iters left: 3 (403 enodes) * [exit]simplify: Simplified to (fma (log1p (- (fma (/ (* (pow th 4) 1/24) (sqrt 2)) (exp (/ 1 (sqrt 2))) (fma (/ (pow th 4) (/ 2 1/8)) (exp (/ 1 (sqrt 2))) (exp (/ 1 (sqrt 2))))) (fma (/ (exp (/ 1 (sqrt 2))) (/ (sqrt 2) (* th th))) 1/2 1))) (* a2 a2) (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * * * * [misc]progress: [ 88 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (log1p (- (exp (/ (cos th) (sqrt 2))) 1)) (* a2 a2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a2 a2 (* a1 a1))) * * * * [misc]progress: [ 89 / 92 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (log1p (- (exp (/ (cos th) (sqrt 2))) 1)) (* a2 a2))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a2 a2 (* a1 a1))) * * * * [misc]progress: [ 90 / 92 ] 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 (109 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (fma (* a2 a2) (- (fma (/ (pow th 4) (sqrt 2)) 1/24 (/ 1 (sqrt 2))) (* (/ 1/2 (sqrt 2)) (* th th))) (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * * * [misc]progress: [ 91 / 92 ] 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 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a1 a1 (* a2 a2))) * * * * [misc]progress: [ 92 / 92 ] 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 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a1 a1 (* a2 a2))) * * * [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 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 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 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 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: [ 4 / 4 ] generating series at (2 2 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: simplifying candidates * * * * [misc]progress: [ 1 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (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 (expm1 (/ (pow (cos th) 3) (* (sqrt 2) 2))) * [exit]simplify: Simplified to (expm1 (/ (pow (cos th) 3) (* (sqrt 2) 2))) * * * * [misc]progress: [ 2 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (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 (log1p (/ (pow (cos th) 3) (* (sqrt 2) 2))) * [exit]simplify: Simplified to (log1p (/ (pow (cos th) 3) (* (sqrt 2) 2))) * * * * [misc]progress: [ 3 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 127 ] 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 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (62 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 / 127 ] 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 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (62 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 / 127 ] 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 (33 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (209 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: [ 7 / 127 ] 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 (112 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (383 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: [ 8 / 127 ] 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: [ 9 / 127 ] 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: [ 10 / 127 ] 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: [ 11 / 127 ] 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: [ 12 / 127 ] 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: [ 13 / 127 ] 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: [ 14 / 127 ] 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: [ 15 / 127 ] 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: [ 16 / 127 ] 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: [ 17 / 127 ] 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: [ 18 / 127 ] 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: [ 19 / 127 ] 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: [ 20 / 127 ] 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: [ 21 / 127 ] 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: [ 22 / 127 ] 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: [ 23 / 127 ] 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: [ 24 / 127 ] 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: [ 25 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 127 ] 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: [ 27 / 127 ] 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: [ 28 / 127 ] 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: [ 29 / 127 ] 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: [ 30 / 127 ] 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: [ 31 / 127 ] 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: [ 32 / 127 ] 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: [ 33 / 127 ] 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: [ 34 / 127 ] 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: [ 35 / 127 ] 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: [ 36 / 127 ] 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: [ 37 / 127 ] 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: [ 38 / 127 ] 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: [ 39 / 127 ] 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: [ 40 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 41 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 42 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 127 ] 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: [ 44 / 127 ] 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: [ 45 / 127 ] 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: [ 46 / 127 ] 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: [ 47 / 127 ] 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: [ 48 / 127 ] 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: [ 49 / 127 ] 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: [ 50 / 127 ] 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: [ 51 / 127 ] 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: [ 52 / 127 ] 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: [ 53 / 127 ] 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: [ 54 / 127 ] 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: [ 55 / 127 ] 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: [ 56 / 127 ] 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: [ 57 / 127 ] 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: [ 58 / 127 ] 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: [ 59 / 127 ] 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: [ 60 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 127 ] 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: [ 62 / 127 ] 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: [ 63 / 127 ] 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: [ 64 / 127 ] 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: [ 65 / 127 ] 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: [ 66 / 127 ] 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: [ 67 / 127 ] 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: [ 68 / 127 ] 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: [ 69 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow (cos th) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (expm1 (pow (cos th) 3)) * [exit]simplify: Simplified to (expm1 (pow (cos th) 3)) * * * * [misc]progress: [ 70 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow (cos th) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log1p (pow (cos th) 3)) * [exit]simplify: Simplified to (log1p (pow (cos th) 3)) * * * * [misc]progress: [ 71 / 127 ] 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: [ 72 / 127 ] 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: [ 73 / 127 ] 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: [ 74 / 127 ] 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: [ 75 / 127 ] 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: [ 76 / 127 ] 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: [ 77 / 127 ] 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: [ 78 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 127 ] 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: [ 80 / 127 ] 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: [ 81 / 127 ] 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: [ 82 / 127 ] 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: [ 83 / 127 ] 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: [ 84 / 127 ] 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: [ 85 / 127 ] 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: [ 86 / 127 ] 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: [ 87 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 127 ] 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: [ 89 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (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 (expm1 (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (expm1 (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) * * * * [misc]progress: [ 91 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (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 (log1p (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (log1p (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2)))) * * * * [misc]progress: [ 92 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 127 ] 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: [ 95 / 127 ] 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: [ 96 / 127 ] 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: [ 97 / 127 ] 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: [ 98 / 127 ] 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: [ 99 / 127 ] 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: [ 100 / 127 ] 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: [ 101 / 127 ] 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: [ 102 / 127 ] 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: [ 103 / 127 ] 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: [ 104 / 127 ] 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: [ 105 / 127 ] 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: [ 106 / 127 ] 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: [ 107 / 127 ] 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: [ 108 / 127 ] 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: [ 109 / 127 ] 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: [ 110 / 127 ] 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: [ 111 / 127 ] 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: [ 112 / 127 ] 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: [ 113 / 127 ] 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: [ 114 / 127 ] 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: [ 115 / 127 ] simplifiying candidate # * * * * [misc]progress: [ 116 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cbrt (- (+ (* 1/2 (/ 1 (sqrt 2))) (* 7/16 (/ (pow th 4) (sqrt 2)))) (* 3/4 (/ (pow th 2) (sqrt 2))))) (* a2 a2))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (307 enodes) * [exit]simplify: Simplified to (fma (cbrt (- (fma (/ (pow th 4) (sqrt 2)) 7/16 (/ 1/2 (sqrt 2))) (/ (* th 3/4) (/ (sqrt 2) th)))) (* a2 a2) (/ (* a1 a1) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 117 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cbrt (* 1/2 (/ (pow (cos th) 3) (sqrt 2)))) (* a2 a2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (fma (cbrt (* (/ 1/2 (sqrt 2)) (pow (cos th) 3))) (* a2 a2) (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * * * * [misc]progress: [ 118 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cbrt (* 1/2 (/ (pow (cos th) 3) (sqrt 2)))) (* a2 a2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (fma (cbrt (* (/ 1/2 (sqrt 2)) (pow (cos th) 3))) (* a2 a2) (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * * * * [misc]progress: [ 119 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a1 a1)) (* (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (* a2 a2))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * [exit]simplify: Simplified to (fma (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (* a2 a2) (fma (* a1 a1) (fma (/ (pow th 4) (sqrt 2)) 1/24 (/ 1 (sqrt 2))) (* (/ (* th th) (sqrt 2)) (* (- 1/2) (* a1 a1))))) * * * * [misc]progress: [ 120 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (* a2 a2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (fma (* a2 a2) (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * * * [misc]progress: [ 121 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (* a2 a2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (fma (* a2 a2) (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * * * [misc]progress: [ 122 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cbrt (/ (- (+ 1 (* 7/8 (pow th 4))) (* 3/2 (pow th 2))) (* 2 (sqrt 2)))) (* a2 a2))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * * [misc]simplify: iters left: 2 (459 enodes) * [exit]simplify: Simplified to (fma (cbrt (/ (- (fma 7/8 (pow th 4) 1) (* 3/2 (* th th))) (* 2 (sqrt 2)))) (* a2 a2) (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * * * * [misc]progress: [ 123 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (* a2 a2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (fma (* a2 a2) (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * * * [misc]progress: [ 124 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (* a2 a2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (fma (* a2 a2) (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * * * [misc]progress: [ 125 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (- (+ (* 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)))) (* a2 a2))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (345 enodes) * [exit]simplify: Simplified to (fma (* a2 a2) (fma (cbrt (/ 1/2 (sqrt 2))) (- (* (pow th 4) 1/24) (* (* th th) 1/2)) (cbrt (/ 1/2 (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * * * [misc]progress: [ 126 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (pow (* 1/2 (/ (pow (cos th) 3) (sqrt 2))) 1/3) (* a2 a2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (fma (cbrt (/ (pow (cos th) 3) (/ (sqrt 2) 1/2))) (* a2 a2) (/ (* (* a1 a1) (cos th)) (sqrt 2))) * * * * [misc]progress: [ 127 / 127 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (pow (* 1/2 (/ (pow (cos th) 3) (sqrt 2))) 1/3) (* a2 a2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (fma (cbrt (/ (pow (cos th) 3) (/ (sqrt 2) 1/2))) (* a2 a2) (/ (* (* a1 a1) (cos th)) (sqrt 2))) * * * [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 (* (/ (cos th) (sqrt 2)) a2) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* a2 (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (* a2 (/ (cos th) (sqrt 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 3514 additional inputs, on iter 1 have 4486 / 8000 * * * * [misc]points: Computing exacts on every 219 of 3514 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 109 of 3514 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 54 of 3514 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 27 of 3514 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 3514 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 3514 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 3514 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 3514 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 1511 additional inputs, on iter 2 have 6489 / 8000 * * * * [misc]points: Computing exacts on every 94 of 1511 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 47 of 1511 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 1511 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 1511 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 1511 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 1511 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 1511 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 681 additional inputs, on iter 3 have 7319 / 8000 * * * * [misc]points: Computing exacts on every 42 of 681 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 21 of 681 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 681 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 681 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 681 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 681 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 278 additional inputs, on iter 4 have 7722 / 8000 * * * * [misc]points: Computing exacts on every 17 of 278 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 8 of 278 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 278 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 278 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 278 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 111 additional inputs, on iter 5 have 7889 / 8000 * * * * [misc]points: Computing exacts on every 6 of 111 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 111 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 111 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 43 additional inputs, on iter 6 have 7957 / 8000 * * * * [misc]points: Computing exacts on every 2 of 43 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 43 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 14 additional inputs, on iter 7 have 7986 / 8000 * * * * [misc]points: Computing exacts for 14 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 6 additional inputs, on iter 8 have 7994 / 8000 * * * * [misc]points: Computing exacts for 6 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 9 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