* [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 103 additional inputs, on iter 1 have 153 / 256 * * * * [misc]points: Computing exacts on every 6 of 103 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 103 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 103 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 43 additional inputs, on iter 2 have 213 / 256 * * * * [misc]points: Computing exacts on every 2 of 43 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 43 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 20 additional inputs, on iter 3 have 236 / 256 * * * * [misc]points: Computing exacts for 20 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 9 additional inputs, on iter 4 have 247 / 256 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 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 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* 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 a1 2) (pow th 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)) (* (sqrt 2) (pow a1 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 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) (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]taylor: Taking taylor expansion of (pow a1 2) in a1 * [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 (* (sqrt 2) 1) 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 (+ (* (sqrt 2) 0) (* 0 1)) 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 (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) 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 (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (/ (* (pow a1 2) (cos th)) (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)) (* (sqrt 2) (pow a1 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a1 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 (* (sqrt 2) (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]taylor: Taking taylor expansion of (pow a1 2) in a1 * [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 (* (sqrt 2) 1) 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 (+ (* (sqrt 2) 0) (* 0 1)) 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 (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) 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 (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (/ (* (pow a1 2) (cos th)) (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)) (* (sqrt 2) (pow a2 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a2 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) (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]taylor: Taking taylor expansion of (pow a2 2) in a2 * [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 (* (sqrt 2) 1) 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 (+ (* (sqrt 2) 0) (* 0 1)) 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 (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) 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 (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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)) (* (sqrt 2) (pow a2 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a2 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 (* (sqrt 2) (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]taylor: Taking taylor expansion of (pow a2 2) in a2 * [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 (* (sqrt 2) 1) 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 (+ (* (sqrt 2) 0) (* 0 1)) 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 (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) 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 (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a2))) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos th)) (log (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (exp (- (log (cos th)) (log (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 3 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* (sqrt 2) 2)) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (* a2 a2)))) * * * * [misc]progress: [ 6 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 11 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 12 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 13 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 14 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 15 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (cos th)) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 16 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 17 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 18 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 19 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 23 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 24 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 2) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) 1) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 25 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos th)) (cbrt (cos th))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (* a2 a2)))) * * * * [misc]progress: [ 26 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos th)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (cos th)) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (* a2 a2)))) * * * * [misc]progress: [ 27 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos th)) (log (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (exp (- (log (cos th)) (log (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 30 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* (sqrt 2) 2)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 33 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 38 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 39 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 40 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 41 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 42 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (cos th)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 43 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 44 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 45 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* 1 (/ (cos th) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* 1 (/ (cos th) (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 46 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt 2)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 50 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 2)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 51 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 2) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) 1) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 52 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos th)) (cbrt (cos th))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 53 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos th)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (cos th)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 54 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (cos th)) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (pow (* (/ (* a1 a1) (sqrt 2)) (cos th)) 1) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 56 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (* a1 a1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (- (+ (+ (log a1) (log a1)) (log (cos th))) (log (sqrt 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (+ (log a1) (log a1)) (log (cos th))) (log (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 58 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (+ (log (/ (cos th) (sqrt 2))) (+ (log a1) (log a1))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log (/ (cos th) (sqrt 2))) (+ (log a1) (log a1)))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 59 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) (/ 2 (cos th))) (/ (* (* a1 a1) (* a1 a1)) (/ (sqrt 2) (* a1 a1)))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (/ (* (cos th) (cos th)) (/ 2 (cos th))) (/ (* (* a1 a1) (* a1 a1)) (/ (sqrt 2) (* a1 a1))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 62 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (/ (* (* (* a1 a1) (* a1 a1)) (* (* a1 a1) (cos th))) (/ (/ 2 (cos th)) (/ (cos th) (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (* (* a1 a1) (* a1 a1)) (* (* a1 a1) (cos th))) (/ (/ 2 (cos th)) (/ (cos th) (sqrt 2))))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 63 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 69 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 70 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 71 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 72 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (cbrt (cos th)) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 73 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 74 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 75 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (cos th)) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt (cos th)) (* (/ (sqrt (cos th)) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 76 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (cos th) (cbrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 77 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 78 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* 1 (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 79 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cos th) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos th) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (cos th) (* (/ 1 (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 81 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (* a1 a1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (* (* a1 a1) (cos th)) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (/ (* (* a1 a1) (cos th)) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 82 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cos th)) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (pow (* (/ (* a2 a2) (sqrt 2)) (cos th)) 1))) * * * * [misc]progress: [ 84 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (* a2 a2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (- (+ (+ (log a2) (log a2)) (log (cos th))) (log (sqrt 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (exp (- (+ (+ (log a2) (log a2)) (log (cos th))) (log (sqrt 2)))))) * * * * [misc]progress: [ 86 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (+ (log (/ (cos th) (sqrt 2))) (+ (log a2) (log a2))) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (exp (+ (log (/ (cos th) (sqrt 2))) (+ (log a2) (log a2)))))) * * * * [misc]progress: [ 87 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) (/ 2 (cos th))) (/ (* (* a2 a2) (* a2 a2)) (/ (sqrt 2) (* a2 a2)))) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (cbrt (* (/ (* (cos th) (cos th)) (/ 2 (cos th))) (/ (* (* a2 a2) (* a2 a2)) (/ (sqrt 2) (* a2 a2))))))) * * * * [misc]progress: [ 90 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (357 enodes) * [exit]simplify: Simplified to (/ (* (* (* a2 a2) (* a2 a2)) (* (* a2 a2) (cos th))) (/ (/ 2 (cos th)) (/ (cos th) (sqrt 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (cbrt (/ (* (* (* a2 a2) (* a2 a2)) (* (* a2 a2) (cos th))) (/ (/ 2 (cos th)) (/ (cos th) (sqrt 2))))))) * * * * [misc]progress: [ 91 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (* a2 a2))))) * * * * [misc]progress: [ 97 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (* a2 a2))))) * * * * [misc]progress: [ 98 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a2 a2))))) * * * * [misc]progress: [ 99 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a2 a2))))) * * * * [misc]progress: [ 100 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (cbrt (cos th)) (sqrt 2)) (* a2 a2))))) * * * * [misc]progress: [ 101 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a2 a2))))) * * * * [misc]progress: [ 102 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a2 a2))))) * * * * [misc]progress: [ 103 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (sqrt (cos th)) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (sqrt (cos th)) (* (/ (sqrt (cos th)) (sqrt 2)) (* a2 a2))))) * * * * [misc]progress: [ 104 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (cos th) (cbrt (sqrt 2))) (* a2 a2))))) * * * * [misc]progress: [ 105 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2))))) * * * * [misc]progress: [ 106 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* 1 (* (/ (cos th) (sqrt 2)) (* a2 a2))))) * * * * [misc]progress: [ 107 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (cos th) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos th) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cos th) (* (/ 1 (sqrt 2)) (* a2 a2))))) * * * * [misc]progress: [ 109 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (* a2 a2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (* (* a2 a2) (cos th)) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (* (* a2 a2) (cos th)) (sqrt 2)))) * * * * [misc]progress: [ 110 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2))))) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 112 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 113 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 114 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2))))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 115 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 116 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 117 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (440 enodes) * [exit]simplify: Simplified to (- (/ (* a1 a1) (sqrt 2)) (/ (* (* a1 th) (* a1 th)) (/ (sqrt 2) 1/2))) * [misc]simplify: Simplified (2 1) to (λ (a1 a2 th) (+ (- (/ (* a1 a1) (sqrt 2)) (/ (* (* a1 th) (* a1 th)) (/ (sqrt 2) 1/2))) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 118 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (pow a1 2) (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * [misc]simplify: Simplified (2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 119 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (pow a1 2) (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * [misc]simplify: Simplified (2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 120 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (440 enodes) * [exit]simplify: Simplified to (- (/ (* a2 a2) (sqrt 2)) (/ (* (* a2 th) (* a2 th)) (/ (sqrt 2) 1/2))) * [misc]simplify: Simplified (2 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (- (/ (* a2 a2) (sqrt 2)) (/ (* (* a2 th) (* a2 th)) (/ (sqrt 2) 1/2))))) * * * * [misc]progress: [ 121 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos th) (pow a2 2)) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt 2) (* a2 a2))) * [misc]simplify: Simplified (2 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (/ (sqrt 2) (* a2 a2))))) * * * * [misc]progress: [ 122 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos th) (pow a2 2)) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt 2) (* a2 a2))) * [misc]simplify: Simplified (2 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (cos th) (/ (sqrt 2) (* a2 a2))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 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: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (sqrt 2))) (sqrt (sqrt 2))) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (sqrt 2))) (sqrt (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 (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt (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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (sqrt (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt (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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (* 1/24 (sqrt (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/24 (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (sqrt 2))) (sqrt (sqrt 2))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (sqrt (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 (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (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 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) 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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (sqrt 2))) (sqrt (sqrt 2))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (sqrt (sqrt 2))) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (sqrt (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 (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (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 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) 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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (/ (cos th) (sqrt (sqrt 2))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) * [misc]backup-simplify: Simplify (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) into (- (* 1/2 (sqrt (/ 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (* 1/24 (sqrt (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (* 1/24 (sqrt (/ 1 (sqrt 2)))) into (* 1/24 (sqrt (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (sqrt (/ 1 (sqrt 2)))) (pow th 4)) (+ (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (pow th 2)) (sqrt (/ 1 (sqrt 2))))) into (- (+ (sqrt (/ 1 (sqrt 2))) (* 1/24 (* (sqrt (/ 1 (sqrt 2))) (pow th 4)))) (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (pow th 2)))) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (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 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 (/ 1 th))) (sqrt (/ 1 (sqrt 2)))) into (* (sqrt (/ 1 (sqrt 2))) (cos th)) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) into (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (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 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 (/ 1 (- th)))) (sqrt (/ 1 (sqrt 2)))) into (* (sqrt (/ 1 (sqrt 2))) (cos th)) * * * * [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 a1 2) (pow th 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)) (* (sqrt 2) (pow a1 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 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) (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]taylor: Taking taylor expansion of (pow a1 2) in a1 * [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 (* (sqrt 2) 1) 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 (+ (* (sqrt 2) 0) (* 0 1)) 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 (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) 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 (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (/ (* (pow a1 2) (cos th)) (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)) (* (sqrt 2) (pow a1 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a1 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 (* (sqrt 2) (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]taylor: Taking taylor expansion of (pow a1 2) in a1 * [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 (* (sqrt 2) 1) 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 (+ (* (sqrt 2) 0) (* 0 1)) 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 (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) 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 (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (/ (* (pow a1 2) (cos th)) (sqrt 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 281 ] 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))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (exp (- (log (cos th)) (log (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 3 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 281 ] 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 (101 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* (sqrt 2) 2)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 6 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 281 ] 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)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 11 / 281 ] 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))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 12 / 281 ] 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 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 13 / 281 ] 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))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 14 / 281 ] 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))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 15 / 281 ] 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)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 16 / 281 ] 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))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 17 / 281 ] 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))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 18 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* 1 (/ (cos th) (sqrt 2))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* 1 (/ (cos th) (sqrt 2))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 19 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt 2)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 23 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 2)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 24 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 2) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) 1) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 25 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos th)) (cbrt (cos th))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 26 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos th)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (cos th)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 27 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (cos th)) (log (sqrt (sqrt 2)))) (log (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (- (log (cos th)) (+ (log (sqrt (sqrt 2))) (log (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (exp (- (log (cos th)) (+ (log (sqrt (sqrt 2))) (log (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 30 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (cos th) (sqrt (sqrt 2)))) (log (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (- (log (/ (cos th) (sqrt (sqrt 2)))) (log (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (exp (- (log (/ (cos th) (sqrt (sqrt 2)))) (log (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 31 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (272 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* 2 (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cbrt (/ (pow (cos th) 3) (* 2 (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 34 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * * [misc]simplify: iters left: 2 (451 enodes) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cbrt (pow (/ (cos th) (sqrt 2)) 3)) (* a2 a2)))) * * * * [misc]progress: [ 35 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 40 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 41 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 42 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1)) (cbrt (/ (cos th) (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1)) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt 1)) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 43 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt (sqrt 2))) (cbrt (/ (cos th) (sqrt (sqrt 2)))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 44 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 45 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 46 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 47 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 48 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1)) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1)) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 49 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 50 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 51 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (/ (cbrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 52 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (fabs (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (fabs (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (fabs (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 53 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 54 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (cos th)) (sqrt 1)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (/ (cbrt (cos th)) (sqrt 1)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (sqrt (sqrt 2))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 55 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 56 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 57 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (fabs (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (fabs (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (cbrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (fabs (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 58 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 59 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 60 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (sqrt 1) (fabs (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (sqrt 1) (fabs (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (sqrt 1) (fabs (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 61 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 62 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 63 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 64 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (fabs (cbrt (sqrt 2))) (cbrt (cos th)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (fabs (cbrt (sqrt 2))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (fabs (cbrt (sqrt 2))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 65 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 66 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 67 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 68 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 69 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt 1)) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt 1)) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 70 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (sqrt 1) (fabs (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (sqrt 1) (fabs (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (sqrt 1) (fabs (cbrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 71 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt 1)) (/ (sqrt (sqrt (sqrt 2))) (cbrt (cos th)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (cbrt (cos th)) (sqrt 1)) (/ (sqrt (sqrt (sqrt 2))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 72 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 73 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt 1)) (/ (sqrt (sqrt (sqrt 2))) (cbrt (cos th)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (cbrt (cos th)) (sqrt 1)) (/ (sqrt (sqrt (sqrt 2))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 74 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (244 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 75 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 76 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (fabs (cbrt (sqrt 2))) (cbrt (cos th)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (fabs (cbrt (sqrt 2))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (fabs (cbrt (sqrt 2))) (cbrt (cos th)))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 77 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 78 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 79 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 80 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 81 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 82 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 83 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 84 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 85 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 86 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 87 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 88 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 89 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 90 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 91 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 92 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 93 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 94 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 95 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 96 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (fabs (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (fabs (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 97 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 98 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 99 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 100 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 101 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 102 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 103 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 104 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 105 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (cos th)) (sqrt 1)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (/ (sqrt (cos th)) (sqrt 1)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 106 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (fabs (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (fabs (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 107 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 108 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) 1) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 109 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 110 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt 1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 111 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 112 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 113 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 114 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 115 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 116 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 117 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 118 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 119 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 120 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt 1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 121 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 122 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) 1) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (cos th)) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (sqrt (cos th)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 123 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 124 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cos th) (* (sqrt (cbrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 125 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 126 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1)) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 127 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 128 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 129 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (fabs (cbrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 130 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 131 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 132 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt 1)) (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt 1)) (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 133 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (fabs (cbrt (sqrt 2)))) (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 134 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 135 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 136 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt 2))) (fabs (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (* (sqrt (sqrt (sqrt 2))) (fabs (cbrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (* (sqrt (sqrt (sqrt 2))) (fabs (cbrt (sqrt 2))))) (/ (cos th) (* (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 137 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 138 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 139 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 140 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 141 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 142 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt 1)) (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt 1)) (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 143 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 144 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 1) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 1) (/ (cos th) (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 145 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 146 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) 1) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt 1)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt 1)) (/ (cos th) (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 147 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 148 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (sqrt 2))) (fabs (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (* (sqrt (sqrt (sqrt 2))) (fabs (cbrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (* (sqrt (sqrt (sqrt 2))) (fabs (cbrt (sqrt 2))))) (/ (cos th) (* (sqrt (cbrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 149 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 150 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt 1)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 151 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 152 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (sqrt 2)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 153 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 154 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 155 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 156 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt 1)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt 1)) (/ (cos th) (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 157 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 158 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* 1 (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 159 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 160 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 161 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 162 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt 1)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt 1)) (/ (cos th) (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 163 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 164 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* 1 (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* 1 (/ (cos th) (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 165 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 166 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (fabs (cbrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (fabs (cbrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 167 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 168 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt 1)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 1)) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 1)) (/ 1 (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 169 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 170 / 281 ] 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) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (cos th) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (cos th) (/ 1 (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 171 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 172 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 173 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 174 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 175 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 176 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 177 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt 1)) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 178 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 179 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) 1) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 180 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (/ (sqrt (sqrt 2)) (cbrt (/ (cos th) (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 181 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (sqrt (/ (cos th) (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 182 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 183 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 184 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 185 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (sqrt 1)) (cbrt (cos th))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (cbrt (cos th)) (sqrt 1)) (cbrt (cos th))) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 186 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 187 / 281 ] 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 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt 2)) (/ (cbrt (cos th)) (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 188 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 189 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 190 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 191 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 192 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 193 / 281 ] 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)) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (/ (sqrt (cos th)) (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 194 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cos th) (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 195 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ 1 (fabs (cbrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 196 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 197 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ 1 (sqrt 1)) (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 198 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 199 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ 1 (/ (sqrt (sqrt 2)) (/ (cos th) (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 200 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 201 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (cos th) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos th) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (/ (sqrt (sqrt 2)) (/ 1 (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 202 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (cos th) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos th) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (* (sqrt (sqrt 2)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 203 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 204 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos th)) (log (sqrt (sqrt 2)))) * * [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 (- (log (cos th)) (log (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (exp (- (log (cos th)) (log (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 205 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 206 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 207 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cbrt (/ (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 208 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 209 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 210 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 211 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 212 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 213 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 214 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 215 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (sqrt 1)) (cbrt (cos th))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (* (/ (cbrt (cos th)) (sqrt 1)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 216 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 217 / 281 ] 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 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 218 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 219 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 220 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 221 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 222 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 223 / 281 ] 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)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 224 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cos th) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 225 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (cos th) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (cos th) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 226 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 227 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ 1 (sqrt 1)) (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ 1 (sqrt 1)) (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 228 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 229 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* 1 (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* 1 (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 230 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 231 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 232 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 233 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 234 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 235 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 236 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 2)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (sqrt 1)) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 237 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 238 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 2)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) 1) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 239 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos th)) (cbrt (cos th))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt 2)) (cbrt (cos th)))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 240 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos th)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (cos th)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (sqrt (cos th)))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 241 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 242 / 281 ] 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)) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (pow (* (/ (* a1 a1) (sqrt 2)) (cos th)) 1) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 243 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 244 / 281 ] 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 (142 enodes) * [exit]simplify: Simplified to (- (+ (+ (log a1) (log a1)) (log (cos th))) (log (sqrt 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (+ (log a1) (log a1)) (log (cos th))) (log (sqrt 2)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 245 / 281 ] 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 (95 enodes) * [exit]simplify: Simplified to (+ (log (/ (cos th) (sqrt 2))) (+ (log a1) (log a1))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log (/ (cos th) (sqrt 2))) (+ (log a1) (log a1)))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 246 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 247 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 248 / 281 ] 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 (128 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) (/ 2 (cos th))) (/ (* (* a1 a1) (* a1 a1)) (/ (sqrt 2) (* a1 a1)))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (/ (* (cos th) (cos th)) (/ 2 (cos th))) (/ (* (* a1 a1) (* a1 a1)) (/ (sqrt 2) (* a1 a1))))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 249 / 281 ] 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 (357 enodes) * [exit]simplify: Simplified to (/ (* (* (* a1 a1) (* a1 a1)) (* (* a1 a1) (cos th))) (/ (/ 2 (cos th)) (/ (cos th) (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (* (* a1 a1) (* a1 a1)) (* (* a1 a1) (cos th))) (/ (/ 2 (cos th)) (/ (cos th) (sqrt 2))))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 250 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 251 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 252 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 253 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 254 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 255 / 281 ] 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)))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 256 / 281 ] 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))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 257 / 281 ] 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)))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 258 / 281 ] 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))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 259 / 281 ] 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 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (cbrt (cos th)) (sqrt 2)) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 260 / 281 ] 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))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 261 / 281 ] 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))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 262 / 281 ] 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)) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt (cos th)) (* (/ (sqrt (cos th)) (sqrt 2)) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 263 / 281 ] 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))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (cos th) (cbrt (sqrt 2))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 264 / 281 ] 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))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 265 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* 1 (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 266 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 267 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (cos th) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos th) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (cos th) (* (/ 1 (sqrt 2)) (* a1 a1))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 268 / 281 ] 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)) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (/ (* (* a1 a1) (cos th)) (sqrt 2)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 269 / 281 ] simplifiying candidate # * * * * [misc]progress: [ 270 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2))))) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 271 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 272 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 273 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2))))) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 274 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 275 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 276 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt (/ 1 (sqrt 2))) (* 1/24 (* (sqrt (/ 1 (sqrt 2))) (pow th 4)))) (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (pow th 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (- (* th (* 1/2 th)) (* (pow th 4) 1/24)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (- (sqrt (/ 1 (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (- (* th (* 1/2 th)) (* (pow th 4) 1/24)))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 277 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (sqrt 2))) (cos th)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cos th) (sqrt (/ 1 (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cos th) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 278 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (sqrt 2))) (cos th)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cos th) (sqrt (/ 1 (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cos th) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 279 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (440 enodes) * [exit]simplify: Simplified to (- (/ (* a1 a1) (sqrt 2)) (/ (* (* a1 th) (* a1 th)) (/ (sqrt 2) 1/2))) * [misc]simplify: Simplified (2 1) to (λ (a1 a2 th) (+ (- (/ (* a1 a1) (sqrt 2)) (/ (* (* a1 th) (* a1 th)) (/ (sqrt 2) 1/2))) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 280 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (pow a1 2) (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * [misc]simplify: Simplified (2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 281 / 281 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (pow a1 2) (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * [misc]simplify: Simplified (2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * [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 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 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: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4) * [misc]taylor: Taking taylor expansion of (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (sqrt 2))) (pow (sqrt 2) 1/4)) into (pow (/ 1 (pow (sqrt 2) 3)) 1/4) * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4) * [misc]taylor: Taking taylor expansion of (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (sqrt 2))) (pow (sqrt 2) 1/4)) into (pow (/ 1 (pow (sqrt 2) 3)) 1/4) * [misc]backup-simplify: Simplify (* (pow (/ 1 (sqrt 2)) 1/4) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)) 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 (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (* 0 (pow (/ 1 (pow (sqrt 2) 3)) 1/4))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (pow (sqrt 2) 1/4)) (+ (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 3)) 1/4))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 3)) 1/4)))) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 3)) 1/4)))) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 3)) 1/4))) (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (+ (* 0 (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 3)) 1/4)))) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 3)) 1/4))))) 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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (* 1/24 (sqrt (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/24 (sqrt (/ 1 (sqrt 2)))) (pow (sqrt 2) 1/4)) (+ (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 3)) 1/4))) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into (* 1/24 (pow (/ 1 (pow (sqrt 2) 3)) 1/4)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) (* 1/24 (pow (/ 1 (pow (sqrt 2) 3)) 1/4))) (+ (* 0 0) (+ (* 0 (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 3)) 1/4)))) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 3)) 1/4)))))) 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 (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (pow (sqrt 2) 1/4)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (pow (sqrt 2) 1/4)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)) * [misc]backup-simplify: Simplify (* (pow (/ 1 (sqrt 2)) 1/4) (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4))) 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 (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)) (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (* 0 (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)))) 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 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (+ (* 0 0) (* 0 (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4))))) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)))))) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4))))))) 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)))))))) 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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) 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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) 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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4))))))))) 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 (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (pow (sqrt 2) 1/4)) into (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (pow (sqrt 2) 1/4)) into (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th))) * [misc]backup-simplify: Simplify (* (pow (/ 1 (sqrt 2)) 1/4) (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th)))) 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 (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th))) (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th))))) 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 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th))) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th)))))) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th))) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th))))))) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th))) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th)))))))) 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th))) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th))))))))) 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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) 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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th))) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) 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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th)))))))))) 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 2 1) * [misc]approximate: Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) * [misc]backup-simplify: Simplify (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) into (- (* 1/2 (sqrt (/ 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (* 1/24 (sqrt (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (* 1/24 (sqrt (/ 1 (sqrt 2)))) into (* 1/24 (sqrt (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (sqrt (/ 1 (sqrt 2)))) (pow th 4)) (+ (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (pow th 2)) (sqrt (/ 1 (sqrt 2))))) into (- (+ (sqrt (/ 1 (sqrt 2))) (* 1/24 (* (sqrt (/ 1 (sqrt 2))) (pow th 4)))) (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (pow th 2)))) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (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 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 (/ 1 th))) (sqrt (/ 1 (sqrt 2)))) into (* (sqrt (/ 1 (sqrt 2))) (cos th)) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) into (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (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 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 (/ 1 (- th)))) (sqrt (/ 1 (sqrt 2)))) into (* (sqrt (/ 1 (sqrt 2))) (cos th)) * * * * [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 a1 2) (pow th 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)) (* (sqrt 2) (pow a1 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) (pow a1 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) (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]taylor: Taking taylor expansion of (pow a1 2) in a1 * [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 (* (sqrt 2) 1) 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 (+ (* (sqrt 2) 0) (* 0 1)) 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 (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) 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 (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (/ (* (pow a1 2) (cos th)) (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)) (* (sqrt 2) (pow a1 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) (pow a1 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 (* (sqrt 2) (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]taylor: Taking taylor expansion of (pow a1 2) in a1 * [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 (* (sqrt 2) 1) 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 (+ (* (sqrt 2) 0) (* 0 1)) 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 (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) 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 (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (/ (* (pow a1 2) (cos th)) (sqrt 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 333 ] 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))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (exp (- (log (cos th)) (log (sqrt 2)))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 3 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 333 ] 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 (101 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* (sqrt 2) 2)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 6 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 333 ] 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)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 11 / 333 ] 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))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 12 / 333 ] 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 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 13 / 333 ] 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))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 14 / 333 ] 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))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 15 / 333 ] 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)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 16 / 333 ] 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))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 17 / 333 ] 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))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 18 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* 1 (/ (cos th) (sqrt 2))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (* 1 (/ (cos th) (sqrt 2))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 19 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt 2)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 23 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 2)) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 24 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 2) * [misc]simplify: Simplified (2 1 1 2) to (λ (a1 a2 th) (+ (* (/ (/ (cos th) 1) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 25 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos th)) (cbrt (cos th))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 26 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos th)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (cos th)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 27 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (pow (/ (cos th) (sqrt 2)) 1) (* a2 a2)))) * * * * [misc]progress: [ 29 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (sqrt (sqrt (sqrt 2))))) (- (- (log (cos th)) (log (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * [exit]simplify: Simplified to (- (- (log (cos th)) (log (sqrt (sqrt (sqrt 2))))) (+ (log (sqrt (sqrt (sqrt 2)))) (log (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (exp (- (- (log (cos th)) (log (sqrt (sqrt (sqrt 2))))) (+ (log (sqrt (sqrt (sqrt 2)))) (log (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 31 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (sqrt (sqrt (sqrt 2))))) (- (log (/ (cos th) (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (- (- (log (/ (cos th) (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2))))) (log (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (exp (- (- (log (/ (cos th) (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2))))) (log (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 32 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (sqrt (sqrt (sqrt 2))))) (log (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (- (log (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (log (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (exp (- (log (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (log (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 33 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt (sqrt (sqrt 2))))) (- (- (log (cos th)) (log (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (- (- (log (cos th)) (log (sqrt (sqrt 2)))) (+ (log (sqrt (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (exp (- (- (log (cos th)) (log (sqrt (sqrt 2)))) (+ (log (sqrt (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2))))))) (* a2 a2)))) * * * * [misc]progress: [ 34 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt (sqrt (sqrt 2))))) (- (log (/ (cos th) (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * [exit]simplify: Simplified to (- (log (/ (cos th) (sqrt (sqrt 2)))) (+ (log (sqrt (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (exp (- (log (/ (cos th) (sqrt (sqrt 2)))) (+ (log (sqrt (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2))))))) (* a2 a2)))) * * * * [misc]progress: [ 35 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt (sqrt (sqrt 2))))) (log (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (- (log (/ (cos th) (sqrt (sqrt (sqrt 2))))) (log (* (sqrt (sqrt 2)) (sqrt (sqrt (sqrt 2)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (exp (- (log (/ (cos th) (sqrt (sqrt (sqrt 2))))) (log (* (sqrt (sqrt 2)) (sqrt (sqrt (sqrt 2))))))) (* a2 a2)))) * * * * [misc]progress: [ 36 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt (sqrt 2))))) (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (/ (pow (cos th) 3) (* (sqrt 2) (sqrt 2))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cbrt (* (/ (pow (cos th) 3) (* (sqrt 2) (sqrt 2))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 39 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt (sqrt 2))))) (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (* (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (* (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (/ (/ (* (cos th) (cos th)) (sqrt 2)) (/ (sqrt 2) (cos th))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cbrt (* (/ (/ (* (cos th) (cos th)) (sqrt 2)) (/ (sqrt 2) (cos th))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 40 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt (sqrt 2))))) (/ 1 (sqrt (sqrt (sqrt 2))))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (491 enodes) * [exit]simplify: Simplified to (* (pow (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) 3) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cbrt (* (pow (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) 3) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))))) (* a2 a2)))) * * * * [misc]progress: [ 41 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ (cos th) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 45 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 47 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))) (sqrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 48 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 49 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 50 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 51 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 52 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt 1)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 53 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 54 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt 1))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 55 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 56 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) 1)) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 57 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 58 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 59 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 60 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 61 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 1)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 62 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 63 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 64 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 65 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) 1)) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 66 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 67 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 68 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 69 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 70 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 1)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 71 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 72 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 73 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 74 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 75 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 76 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 77 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 78 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 79 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt 1)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 80 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 81 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 82 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 83 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 84 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 85 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 86 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 87 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 88 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 1)))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 89 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 90 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 91 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 92 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) 1)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 93 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 94 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 95 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 96 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 97 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt 1)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 98 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 99 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt 1))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 100 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 101 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 102 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 103 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 104 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 105 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 106 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 1)))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 107 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 108 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 109 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 110 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) 1)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 111 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 112 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 113 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 114 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 115 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt 1)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 116 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 117 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt 1))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 118 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 119 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 120 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 121 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 122 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 123 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 124 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 1)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 125 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 126 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 127 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 128 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 129 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 130 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 131 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 132 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 133 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt 1)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 134 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 135 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 136 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 137 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 138 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 139 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 140 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 141 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 142 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 1)))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 143 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 144 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt 1))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 145 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 146 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 147 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt 1)) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 148 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 149 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 150 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 151 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt 1)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 152 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 153 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt 1))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 154 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 155 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt 1)) 1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 156 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 157 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 158 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 159 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 160 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 1)))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 161 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 162 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt 1))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 163 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 164 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 165 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) 1) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 166 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) 1) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 167 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 168 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 169 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt 1)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 170 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 171 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) 1) (sqrt 1))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 172 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 173 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) 1) 1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 174 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 175 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 176 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 177 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 178 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 1)))) (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 179 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 180 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1))) (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 181 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 182 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1)) (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 183 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 184 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 185 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 186 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 187 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt 1)))) (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 188 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 189 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1))) (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 190 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 191 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 192 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 193 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 194 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 195 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 196 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 1)))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 197 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 198 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt 1))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 199 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 200 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) 1)) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 201 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 202 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 203 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 204 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 205 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 206 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 207 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt 1)) (sqrt 1))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 208 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 209 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt 1)) 1)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 210 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 211 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 212 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 213 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 214 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 1)))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 215 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 216 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt 1))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 217 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 218 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) 1)) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 219 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 1) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 220 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 1) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 221 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 1) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 222 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 1) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 223 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 1) (sqrt (sqrt 1)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 224 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 1) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 225 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 1) (sqrt 1))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 226 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 1) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 227 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 1) 1)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 228 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 229 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 230 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 231 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 232 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt 1)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 233 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 234 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt 1))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 235 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 236 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 1)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 237 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 238 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 239 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 240 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 241 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 1)))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 242 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 243 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt 1))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 244 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 245 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) 1)) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 246 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) 1) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 247 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 248 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (cbrt (/ 1 (sqrt (sqrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (cbrt (/ 1 (sqrt (sqrt (sqrt 2)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (* (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (cbrt (/ 1 (sqrt (sqrt (sqrt 2)))))) (* (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 249 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (* (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 250 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 251 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 252 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 253 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 254 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 255 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 256 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos th)) (log (sqrt (sqrt 2)))) * * [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 (- (log (cos th)) (log (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (exp (- (log (cos th)) (log (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 257 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 258 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 259 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cbrt (/ (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 260 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 261 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 262 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 263 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 264 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 265 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 266 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 267 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (sqrt 1)) (cbrt (cos th))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (* (/ (cbrt (cos th)) (sqrt 1)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 268 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 269 / 333 ] 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 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 270 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 271 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 272 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 273 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 274 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 275 / 333 ] 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)) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 276 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cos th) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 277 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (cos th) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (cos th) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 278 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 279 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ 1 (sqrt 1)) (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ 1 (sqrt 1)) (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 280 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 281 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* 1 (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* 1 (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 282 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 283 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 284 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 285 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 286 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (/ (cos th) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 287 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 288 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (/ (cos th) (sqrt 1)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 289 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 290 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (/ (cos th) 1) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 291 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos th)) (cbrt (cos th))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt 2)) (cbrt (cos th)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 292 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos th)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (cos th)) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (sqrt (cos th)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 293 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 294 / 333 ] 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)) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (pow (* (/ (* a1 a1) (sqrt 2)) (cos th)) 1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 295 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 296 / 333 ] 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 (142 enodes) * [exit]simplify: Simplified to (- (+ (+ (log a1) (log a1)) (log (cos th))) (log (sqrt 2))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (- (+ (+ (log a1) (log a1)) (log (cos th))) (log (sqrt 2)))) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 297 / 333 ] 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 (95 enodes) * [exit]simplify: Simplified to (+ (log (/ (cos th) (sqrt 2))) (+ (log a1) (log a1))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (exp (+ (log (/ (cos th) (sqrt 2))) (+ (log a1) (log a1)))) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 298 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 299 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 300 / 333 ] 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 (128 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) (/ 2 (cos th))) (/ (* (* a1 a1) (* a1 a1)) (/ (sqrt 2) (* a1 a1)))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (* (/ (* (cos th) (cos th)) (/ 2 (cos th))) (/ (* (* a1 a1) (* a1 a1)) (/ (sqrt 2) (* a1 a1))))) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 301 / 333 ] 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 (357 enodes) * [exit]simplify: Simplified to (/ (* (* (* a1 a1) (* a1 a1)) (* (* a1 a1) (cos th))) (/ (/ 2 (cos th)) (/ (cos th) (sqrt 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (cbrt (/ (* (* (* a1 a1) (* a1 a1)) (* (* a1 a1) (cos th))) (/ (/ 2 (cos th)) (/ (cos th) (sqrt 2))))) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 302 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 303 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 304 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 305 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 306 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 307 / 333 ] 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)))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1))) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 308 / 333 ] 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))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1))) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 309 / 333 ] 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)))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a1 a1))) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 310 / 333 ] 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))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a1 a1))) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 311 / 333 ] 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 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (cbrt (cos th)) (sqrt 2)) (* a1 a1))) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 312 / 333 ] 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))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a1 a1))) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 313 / 333 ] 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))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a1 a1))) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 314 / 333 ] 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)) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (sqrt (cos th)) (* (/ (sqrt (cos th)) (sqrt 2)) (* a1 a1))) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 315 / 333 ] 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))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (cos th) (cbrt (sqrt 2))) (* a1 a1))) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 316 / 333 ] 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))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) (* a1 a1))) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 317 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* 1 (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 318 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 319 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (cos th) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos th) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (cos th) (* (/ 1 (sqrt 2)) (* a1 a1))) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 320 / 333 ] 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)) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (/ (* (* a1 a1) (cos th)) (sqrt 2)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 321 / 333 ] simplifiying candidate # * * * * [misc]progress: [ 322 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2))))) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 323 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 324 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 325 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2))))) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 326 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 327 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 328 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt (/ 1 (sqrt 2))) (* 1/24 (* (sqrt (/ 1 (sqrt 2))) (pow th 4)))) (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (pow th 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (- (* th (* 1/2 th)) (* (pow th 4) 1/24)))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (- (sqrt (/ 1 (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (- (* th (* 1/2 th)) (* (pow th 4) 1/24)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 329 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (sqrt 2))) (cos th)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cos th) (sqrt (/ 1 (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (cos th) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 330 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (sqrt 2))) (cos th)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cos th) (sqrt (/ 1 (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (cos th) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 331 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow a1 2) (pow th 2)) (sqrt 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (440 enodes) * [exit]simplify: Simplified to (- (/ (* a1 a1) (sqrt 2)) (/ (* (* a1 th) (* a1 th)) (/ (sqrt 2) 1/2))) * [misc]simplify: Simplified (2 1) to (λ (a1 a2 th) (+ (- (/ (* a1 a1) (sqrt 2)) (/ (* (* a1 th) (* a1 th)) (/ (sqrt 2) 1/2))) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 332 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (pow a1 2) (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * [misc]simplify: Simplified (2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 333 / 333 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (pow a1 2) (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * [misc]simplify: Simplified (2 1) to (λ (a1 a2 th) (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* 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 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4) * [misc]taylor: Taking taylor expansion of (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (sqrt 2))) (pow (sqrt 2) 1/4)) into (pow (/ 1 (pow (sqrt 2) 3)) 1/4) * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4) * [misc]taylor: Taking taylor expansion of (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (sqrt 2))) (pow (sqrt 2) 1/4)) into (pow (/ 1 (pow (sqrt 2) 3)) 1/4) * [misc]backup-simplify: Simplify (* (pow (/ 1 (sqrt 2)) 1/4) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)) 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 (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (* 0 (pow (/ 1 (pow (sqrt 2) 3)) 1/4))) 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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (pow (sqrt 2) 1/4)) (+ (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 3)) 1/4))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 3)) 1/4)))) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 3)) 1/4)))) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 3)) 1/4))) (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (+ (* 0 (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 3)) 1/4)))) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 3)) 1/4))))) 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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (* 1/24 (sqrt (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/24 (sqrt (/ 1 (sqrt 2)))) (pow (sqrt 2) 1/4)) (+ (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 3)) 1/4))) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into (* 1/24 (pow (/ 1 (pow (sqrt 2) 3)) 1/4)) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) (* 1/24 (pow (/ 1 (pow (sqrt 2) 3)) 1/4))) (+ (* 0 0) (+ (* 0 (- (* 1/2 (pow (/ 1 (pow (sqrt 2) 3)) 1/4)))) (+ (* 0 0) (* 0 (pow (/ 1 (pow (sqrt 2) 3)) 1/4)))))) 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 (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (pow (sqrt 2) 1/4)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (/ 1 th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (pow (sqrt 2) 1/4)) into (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)) * [misc]backup-simplify: Simplify (* (pow (/ 1 (sqrt 2)) 1/4) (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4))) 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 (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)) (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (* 0 (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)))) 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 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (+ (* 0 0) (* 0 (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4))))) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)))))) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4))))))) 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)))))))) 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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) 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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4)) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) 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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (cos (/ 1 th)) (pow (/ 1 (pow (sqrt 2) 3)) 1/4))))))))) 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 (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (pow (sqrt 2) 1/4)) into (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ 1 (pow (sqrt 2) 1/4)) into (pow (/ 1 (sqrt 2)) 1/4) * [misc]taylor: Taking taylor expansion of (/ (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (sqrt (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (sqrt (sqrt (sqrt 2))) into (pow (sqrt 2) 1/4) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (pow (sqrt 2) 1/4)) into (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th))) * [misc]backup-simplify: Simplify (* (pow (/ 1 (sqrt 2)) 1/4) (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th)))) 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 (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th))) (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th))))) 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 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th))) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th)))))) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th))) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th))))))) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th))) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th)))))))) 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th))) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th))))))))) 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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) 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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow (sqrt 2) 1/4)) (+ (* (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th))) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) 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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (pow (sqrt 2) 1/4))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (pow (/ 1 (sqrt 2)) 1/4) (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))) (* 0 (/ 0 (pow (sqrt 2) 1/4))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (/ 1 (sqrt 2)) 1/4) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (pow (/ 1 (pow (sqrt 2) 3)) 1/4) (cos (/ -1 th)))))))))) 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 2 1) * [misc]approximate: Taking taylor expansion of (/ (cos th) (sqrt (sqrt 2))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt (sqrt 2))) into (sqrt (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (sqrt 2))) into (sqrt (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (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 (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) * [misc]backup-simplify: Simplify (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) into (- (* 1/2 (sqrt (/ 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (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 (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt (sqrt 2))) (+ (* (sqrt (/ 1 (sqrt 2))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into (* 1/24 (sqrt (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (* 1/24 (sqrt (/ 1 (sqrt 2)))) into (* 1/24 (sqrt (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (sqrt (/ 1 (sqrt 2)))) (pow th 4)) (+ (* (- (* 1/2 (sqrt (/ 1 (sqrt 2))))) (pow th 2)) (sqrt (/ 1 (sqrt 2))))) into (- (+ (sqrt (/ 1 (sqrt 2))) (* 1/24 (* (sqrt (/ 1 (sqrt 2))) (pow th 4)))) (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (pow th 2)))) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (sqrt 2))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt (sqrt 2))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) into (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (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 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2)))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 (/ 1 th))) (sqrt (/ 1 (sqrt 2)))) into (* (sqrt (/ 1 (sqrt 2))) (cos th)) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (sqrt 2))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt (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 (sqrt 2)) in 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 (sqrt (sqrt 2)) into (sqrt (sqrt 2)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt (sqrt 2))) into (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) into (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (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 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (sqrt 2))) (+ (* (* (sqrt (/ 1 (sqrt 2))) (cos (/ -1 th))) (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))) (* 0 (/ 0 (sqrt (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 (/ 1 (- th)))) (sqrt (/ 1 (sqrt 2)))) into (* (sqrt (/ 1 (sqrt 2))) (cos th)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) a1) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) a1) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (cos th) into (cos th) * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos th) 1) into (cos th) * [misc]backup-simplify: Simplify (* (sin th) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos th) 0) into (cos th) * [misc]backup-simplify: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) a1) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) a1) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) a1) into (/ a1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ a1 (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 a1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* (- (* 1/2 (/ 1 (sqrt 2)))) a1))) into (- (* 1/2 (/ a1 (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ a1 (sqrt 2)))) in a1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ a1 (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of 1/2 in a1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ a1 (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (* 0 a1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (* (* 1/24 (/ 1 (sqrt 2))) a1))))) into (* 1/24 (/ a1 (sqrt 2))) * [misc]taylor: Taking taylor expansion of (* 1/24 (/ a1 (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of 1/24 in a1 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (/ a1 (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (* a1 (pow th 2))) (* (/ 1 (sqrt 2)) (* a1 1))) into (- (/ a1 (sqrt 2)) (* 1/2 (/ (* a1 (pow th 2)) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a1)) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a1)) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]backup-simplify: Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a1)) into (/ (cos (/ 1 th)) (* (sqrt 2) a1)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2) a1)) 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) a1) 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]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 (* (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 (* (sqrt 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (* 0 (/ 1 a1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 a1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (* (/ 1 (/ 1 a1)) 1)) into (/ (* a1 (cos th)) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a1))) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a1))) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in a1 * [misc]taylor: Taking taylor expansion of (- th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in a1 * [misc]taylor: Taking taylor expansion of (- a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a1))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a1))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]backup-simplify: Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (/ -1 a1)) into (* -1 (/ (cos (/ -1 th)) (* (sqrt 2) a1))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* (sqrt 2) a1))) in a1 * [misc]taylor: Taking taylor expansion of -1 in a1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2) a1)) 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 (* (sqrt 2) a1) 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]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 (* (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 (* (sqrt 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (* -1 (/ (cos (/ -1 th)) (sqrt 2))) into (* -1 (/ (cos (/ -1 th)) (sqrt 2))) * [misc]backup-simplify: Simplify (* -1 (/ (cos (/ -1 th)) (sqrt 2))) into (* -1 (/ (cos (/ -1 th)) (sqrt 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 (/ -1 a1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ -1 a1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2))) (* (/ 1 (/ 1 (- a1))) 1)) into (/ (* a1 (cos th)) (sqrt 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 327 ] 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))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a1 a2 th) (+ (* (* (exp (- (log (cos th)) (log (sqrt 2)))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 3 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 327 ] 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 (101 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* (sqrt 2) 2)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a1 a2 th) (+ (* (* (cbrt (/ (pow (cos th) 3) (* (sqrt 2) 2))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 6 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 327 ] 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)))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a1 a2 th) (+ (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 11 / 327 ] 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))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a1 a2 th) (+ (* (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 12 / 327 ] 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 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a1 a2 th) (+ (* (* (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 13 / 327 ] 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))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a1 a2 th) (+ (* (* (* (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 14 / 327 ] 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))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a1 a2 th) (+ (* (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 15 / 327 ] 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)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a1 a2 th) (+ (* (* (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 16 / 327 ] 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))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a1 a2 th) (+ (* (* (* (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt 2)))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 17 / 327 ] 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))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a1 a2 th) (+ (* (* (* (/ 1 (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 18 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a1 a2 th) (+ (* (* (* 1 (/ (cos th) (sqrt 2))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a1 a2 th) (+ (* (* (* 1 (/ (cos th) (sqrt 2))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 19 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sqrt 2)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) (cbrt (sqrt 2))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 23 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 2)) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 24 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 2) * [misc]simplify: Simplified (2 1 1 1 2) to (λ (a1 a2 th) (+ (* (* (/ (/ (cos th) 1) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 25 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos th)) (cbrt (cos th))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt 2) (cbrt (cos th)))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 26 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos th)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (cos th)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (/ (sqrt 2) (sqrt (cos th)))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 27 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (pow (/ (cos th) (sqrt 2)) 1) (* a2 a2)))) * * * * [misc]progress: [ 29 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (sqrt (sqrt (sqrt 2))))) (- (- (log (cos th)) (log (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * [exit]simplify: Simplified to (- (- (log (cos th)) (log (sqrt (sqrt (sqrt 2))))) (+ (log (sqrt (sqrt (sqrt 2)))) (log (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (exp (- (- (log (cos th)) (log (sqrt (sqrt (sqrt 2))))) (+ (log (sqrt (sqrt (sqrt 2)))) (log (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 31 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (sqrt (sqrt (sqrt 2))))) (- (log (/ (cos th) (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (- (- (log (/ (cos th) (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2))))) (log (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (exp (- (- (log (/ (cos th) (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2))))) (log (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 32 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (sqrt (sqrt (sqrt 2))))) (log (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (- (log (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (log (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (exp (- (log (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (log (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 33 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt (sqrt (sqrt 2))))) (- (- (log (cos th)) (log (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (- (- (log (cos th)) (log (sqrt (sqrt 2)))) (+ (log (sqrt (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (exp (- (- (log (cos th)) (log (sqrt (sqrt 2)))) (+ (log (sqrt (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2))))))) (* a2 a2)))) * * * * [misc]progress: [ 34 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt (sqrt (sqrt 2))))) (- (log (/ (cos th) (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * [exit]simplify: Simplified to (- (log (/ (cos th) (sqrt (sqrt 2)))) (+ (log (sqrt (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (exp (- (log (/ (cos th) (sqrt (sqrt 2)))) (+ (log (sqrt (sqrt (sqrt 2)))) (log (sqrt (sqrt (sqrt 2))))))) (* a2 a2)))) * * * * [misc]progress: [ 35 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt (sqrt (sqrt 2))))) (log (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (- (log (/ (cos th) (sqrt (sqrt (sqrt 2))))) (log (* (sqrt (sqrt 2)) (sqrt (sqrt (sqrt 2)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (exp (- (log (/ (cos th) (sqrt (sqrt (sqrt 2))))) (log (* (sqrt (sqrt 2)) (sqrt (sqrt (sqrt 2))))))) (* a2 a2)))) * * * * [misc]progress: [ 36 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt (sqrt 2))))) (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) (* (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (/ (pow (cos th) 3) (* (sqrt 2) (sqrt 2))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (cbrt (* (/ (pow (cos th) 3) (* (sqrt 2) (sqrt 2))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 39 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt (sqrt 2))))) (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (* (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (* (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (* (/ (/ (* (cos th) (cos th)) (sqrt 2)) (/ (sqrt 2) (cos th))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (cbrt (* (/ (/ (* (cos th) (cos th)) (sqrt 2)) (/ (sqrt 2) (cos th))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 40 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt (sqrt 2))))) (/ 1 (sqrt (sqrt (sqrt 2))))) (* (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (491 enodes) * [exit]simplify: Simplified to (* (pow (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) 3) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (cbrt (* (pow (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) 3) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))))) (* a2 a2)))) * * * * [misc]progress: [ 41 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ (cos th) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (/ (cos th) (sqrt (sqrt 2))) (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (* (sqrt (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt 2))) (* a2 a2)))) * * * * [misc]progress: [ 45 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 47 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))) (sqrt (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 48 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 49 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 50 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 51 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 52 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt 1)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 53 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 54 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt 1))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 55 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 56 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (/ (cos th) (sqrt (sqrt 2))))) 1)) (/ (cbrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 57 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 58 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 59 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 60 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 61 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt 1)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 62 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 63 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt 1))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 64 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 65 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) 1)) (/ (sqrt (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 66 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 67 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 68 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 69 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 70 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 1)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 71 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 72 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 73 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 74 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 75 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 76 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 77 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 78 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 79 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt 1)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 80 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 81 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 82 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 83 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 84 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 85 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 86 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 87 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 88 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 1)))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 89 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 90 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 91 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 92 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) 1)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 93 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 94 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 95 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 96 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 97 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt 1)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 98 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 99 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt 1))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 100 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 101 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 102 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 103 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 104 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 105 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 106 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 1)))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 107 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 108 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt 1))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 109 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 110 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) 1)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 111 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 112 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 113 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 114 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 115 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt 1)))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 116 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 117 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt 1))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 118 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 119 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) 1)) (/ (/ (cbrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 120 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 121 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 122 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 123 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 124 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 1)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 125 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 126 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 127 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 128 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 129 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 130 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 131 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 132 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 133 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt 1)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 134 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 135 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 136 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 137 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 138 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 139 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 140 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 141 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 142 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 1)))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 143 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 144 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt 1))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 145 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 146 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 147 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt 1)) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 148 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 149 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 150 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 151 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt 1)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 152 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 153 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt 1))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 154 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 155 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt 1)) 1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 156 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 157 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 158 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 159 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 160 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 1)))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 161 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 162 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt 1))) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 163 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 164 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 165 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) 1) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 166 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) 1) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 167 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 168 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 169 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt 1)))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 170 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 171 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) 1) (sqrt 1))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 172 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) 1) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 173 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) 1) 1)) (/ (/ (sqrt (cos th)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 174 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 175 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 176 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 177 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 178 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt 1)))) (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 179 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 180 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt 1))) (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 181 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 182 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) 1)) (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 183 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 184 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 185 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 186 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 187 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt 1)))) (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 188 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 189 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt 1))) (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 190 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 191 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) 1)) (/ (cos th) (* (sqrt (sqrt (sqrt 2))) (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 192 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 193 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 194 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 195 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 196 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 1)))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 197 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 198 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt 1))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 199 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 200 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) 1)) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 201 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 202 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 203 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 204 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 205 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt 1)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 206 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 207 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt 1)) (sqrt 1))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 208 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt 1)) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 209 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt 1)) 1)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 210 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 211 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 212 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 213 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 214 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt 1)))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 215 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 216 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt 1))) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 217 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 218 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 (sqrt (sqrt (sqrt 2)))) 1)) (/ (cos th) (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 219 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 1) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 220 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 1) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 221 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 1) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 222 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 1) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 223 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 1) (sqrt (sqrt 1)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 224 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 1) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 225 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 1) (sqrt 1))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 226 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 1) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 227 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ 1 1) 1)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 228 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 229 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 230 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 231 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 232 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt 1)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 233 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 234 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt 1))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 235 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 236 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ 1 1)) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 237 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (* (cbrt (sqrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt (sqrt 2))))))) (/ (/ 1 (sqrt (sqrt 2))) (cbrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 238 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (cbrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 239 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (cbrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 240 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 241 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 1)))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 242 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 243 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt 1))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 244 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt (sqrt 2)))))) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 245 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) 1)) (/ (/ 1 (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 246 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) 1) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 247 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (/ 1 (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 248 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (cbrt (/ 1 (sqrt (sqrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (cbrt (/ 1 (sqrt (sqrt (sqrt 2)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (* (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (cbrt (/ 1 (sqrt (sqrt (sqrt 2)))))) (* (cbrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 249 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (* (sqrt (/ 1 (sqrt (sqrt (sqrt 2))))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))))) (* a2 a2)))) * * * * [misc]progress: [ 250 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 251 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 252 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 253 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (224 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (* a2 a2)))) * * * * [misc]progress: [ 254 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 255 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 256 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos th)) (log (sqrt (sqrt 2)))) * * [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 (- (log (cos th)) (log (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (exp (- (log (cos th)) (log (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 257 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 258 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 259 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2)) (sqrt (sqrt 2))) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cbrt (/ (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 260 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 261 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 262 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 263 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 264 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (* (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 265 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 266 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 267 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (sqrt 1)) (cbrt (cos th))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (* (/ (cbrt (cos th)) (sqrt 1)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 268 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 269 / 327 ] 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 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 270 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 271 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 272 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 273 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 274 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 275 / 327 ] 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)) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [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))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 276 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ (/ 1 (cbrt (sqrt (sqrt 2)))) (cbrt (sqrt (sqrt 2)))) (/ (cos th) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ 1 (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (/ (cos th) (cbrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 277 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (cos th) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (cbrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ 1 (fabs (cbrt (sqrt 2)))) (/ (cos th) (sqrt (cbrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 278 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 279 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ 1 (sqrt 1)) (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ 1 (sqrt 1)) (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 280 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (cos th) (sqrt (sqrt (sqrt 2))))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 281 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* 1 (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* 1 (/ (cos th) (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 282 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 283 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 284 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 285 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (/ (cos th) (* (cbrt (sqrt (sqrt 2))) (cbrt (sqrt (sqrt 2))))) (cbrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 286 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (/ (cos th) (sqrt (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 287 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 288 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (/ (cos th) (sqrt 1)) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 289 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (sqrt 2))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (sqrt 2))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (/ (cos th) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 290 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt 2)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sqrt 2)) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (/ (cos th) 1) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 291 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos th)) (cbrt (cos th))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (/ (sqrt (sqrt 2)) (cbrt (cos th)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 292 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos th)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (cos th)) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (sqrt (cos th)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 293 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 294 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 295 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 296 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 297 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 298 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 299 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 300 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 301 / 327 ] 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)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) (* (cbrt (/ (cos th) (sqrt 2))) a1)) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 302 / 327 ] 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))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt (/ (cos th) (sqrt 2))) (* (sqrt (/ (cos th) (sqrt 2))) a1)) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 303 / 327 ] 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)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) a1)) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 304 / 327 ] 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))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) a1)) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 305 / 327 ] 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 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (cbrt (cos th))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (* (cbrt (cos th)) (cbrt (cos th))) (* (/ (cbrt (cos th)) (sqrt 2)) a1)) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 306 / 327 ] 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))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) a1)) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 307 / 327 ] 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))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a1)) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 308 / 327 ] 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)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (sqrt (cos th)) (* (/ (sqrt (cos th)) (sqrt 2)) a1)) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 309 / 327 ] 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))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2))) (* (/ (cos th) (cbrt (sqrt 2))) a1)) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 310 / 327 ] 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))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ 1 (sqrt (sqrt 2))) (* (/ (cos th) (sqrt (sqrt 2))) a1)) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 311 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* 1 (* (/ (cos th) (sqrt 2)) a1)) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 312 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 313 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (cos th) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos th) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (cos th) (* (/ 1 (sqrt 2)) a1)) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 314 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) a1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* a1 (cos th)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (/ (* a1 (cos th)) (sqrt 2)) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 315 / 327 ] simplifiying candidate # * * * * [misc]progress: [ 316 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2))))) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 317 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 318 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 1 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 319 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2))))) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (+ (/ 1 (sqrt 2)) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* th th) (/ 1/2 (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 320 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 321 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [misc]simplify: Simplified (2 2 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * * * [misc]progress: [ 322 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt (/ 1 (sqrt 2))) (* 1/24 (* (sqrt (/ 1 (sqrt 2))) (pow th 4)))) (* 1/2 (* (sqrt (/ 1 (sqrt 2))) (pow th 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (- (* th (* 1/2 th)) (* (pow th 4) 1/24)))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (- (sqrt (/ 1 (sqrt 2))) (* (sqrt (/ 1 (sqrt 2))) (- (* th (* 1/2 th)) (* (pow th 4) 1/24)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 323 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (sqrt 2))) (cos th)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cos th) (sqrt (/ 1 (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (cos th) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 324 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 (sqrt 2))) (cos th)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cos th) (sqrt (/ 1 (sqrt 2)))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (* (cos th) (sqrt (/ 1 (sqrt 2)))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 325 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ a1 (sqrt 2)) (* 1/2 (/ (* a1 (pow th 2)) (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (- (/ a1 (sqrt 2)) (* (/ (* th a1) (sqrt 2)) (* 1/2 th))) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (- (/ a1 (sqrt 2)) (* (/ (* th a1) (sqrt 2)) (* 1/2 th))) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 326 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a1 (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) a1) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * * [misc]progress: [ 327 / 327 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a1 (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) a1) * [misc]simplify: Simplified (2 1 1) to (λ (a1 a2 th) (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (* (/ 1 (sqrt (sqrt (sqrt 2)))) (/ (/ (cos th) (sqrt (sqrt 2))) (sqrt (sqrt (sqrt 2))))) (* a2 a2)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # #) * * * [misc]regime-changes: Trying 7 branch expressions: (a2 (* a2 a2) a1 (* a1 a1) th (cos th) (/ (cos th) (sqrt 2))) * * * * [misc]regimes: Trying to branch on a2 from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on (* a2 a2) from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on a1 from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on (* a1 a1) from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on th from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on (cos th) from (# # # # # # # # #) * * * * [misc]regimes: Trying to branch on (/ (cos th) (sqrt 2)) from (# # # # # # # # #) * * * [misc]regime: Found split indices: #