24.370 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 2.154 * * * [progress]: [2/2] Setting up program. 2.158 * [progress]: [Phase 2 of 3] Improving. 2.158 * [simplify]: Simplifying using # : (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) 2.160 * * [simplify]: iteration 0 : 25 enodes (cost 7 ) 2.161 * * [simplify]: iteration 1 : 50 enodes (cost 7 ) 2.163 * * [simplify]: iteration 2 : 77 enodes (cost 7 ) 2.164 * * [simplify]: iteration 3 : 96 enodes (cost 7 ) 2.166 * * [simplify]: iteration 4 : 112 enodes (cost 7 ) 2.168 * * [simplify]: iteration 5 : 127 enodes (cost 7 ) 2.170 * * [simplify]: iteration 6 : 141 enodes (cost 7 ) 2.172 * * [simplify]: iteration 7 : 141 enodes (cost 7 ) 2.172 * [simplify]: Simplified to: (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) 2.177 * * [progress]: iteration 1 / 4 2.177 * * * [progress]: picking best candidate 2.180 * * * * [pick]: Picked # 2.180 * * * [progress]: localizing error 2.190 * * * [progress]: generating rewritten candidates 2.190 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 2.194 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.207 * * * [progress]: generating series expansions 2.208 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 2.208 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 2.208 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 2.208 * [taylor]: Taking taylor expansion of (cos th) in th 2.208 * [taylor]: Taking taylor expansion of th in th 2.208 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.208 * [taylor]: Taking taylor expansion of 2.0 in th 2.208 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 2.208 * [taylor]: Taking taylor expansion of (cos th) in th 2.208 * [taylor]: Taking taylor expansion of th in th 2.208 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.208 * [taylor]: Taking taylor expansion of 2.0 in th 2.210 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 2.210 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 2.210 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.210 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.210 * [taylor]: Taking taylor expansion of th in th 2.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.210 * [taylor]: Taking taylor expansion of 2.0 in th 2.210 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 2.210 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.210 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.210 * [taylor]: Taking taylor expansion of th in th 2.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.210 * [taylor]: Taking taylor expansion of 2.0 in th 2.211 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 2.211 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 2.211 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.211 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.211 * [taylor]: Taking taylor expansion of -1 in th 2.211 * [taylor]: Taking taylor expansion of th in th 2.212 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.212 * [taylor]: Taking taylor expansion of 2.0 in th 2.212 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 2.212 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.212 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.212 * [taylor]: Taking taylor expansion of -1 in th 2.212 * [taylor]: Taking taylor expansion of th in th 2.212 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.212 * [taylor]: Taking taylor expansion of 2.0 in th 2.213 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.213 * [approximate]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in (th a1 a2) around 0 2.213 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 2.213 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in a2 2.213 * [taylor]: Taking taylor expansion of (cos th) in a2 2.213 * [taylor]: Taking taylor expansion of th in a2 2.213 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 2.213 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.213 * [taylor]: Taking taylor expansion of a2 in a2 2.213 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 2.213 * [taylor]: Taking taylor expansion of a1 in a2 2.213 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.214 * [taylor]: Taking taylor expansion of 2.0 in a2 2.214 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 2.214 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in a1 2.214 * [taylor]: Taking taylor expansion of (cos th) in a1 2.214 * [taylor]: Taking taylor expansion of th in a1 2.214 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 2.214 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 2.214 * [taylor]: Taking taylor expansion of a2 in a1 2.214 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.214 * [taylor]: Taking taylor expansion of a1 in a1 2.214 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.214 * [taylor]: Taking taylor expansion of 2.0 in a1 2.214 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in th 2.214 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in th 2.214 * [taylor]: Taking taylor expansion of (cos th) in th 2.214 * [taylor]: Taking taylor expansion of th in th 2.214 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th 2.214 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.214 * [taylor]: Taking taylor expansion of a2 in th 2.214 * [taylor]: Taking taylor expansion of (pow a1 2) in th 2.214 * [taylor]: Taking taylor expansion of a1 in th 2.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.215 * [taylor]: Taking taylor expansion of 2.0 in th 2.215 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in th 2.215 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in th 2.215 * [taylor]: Taking taylor expansion of (cos th) in th 2.215 * [taylor]: Taking taylor expansion of th in th 2.215 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th 2.215 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.215 * [taylor]: Taking taylor expansion of a2 in th 2.215 * [taylor]: Taking taylor expansion of (pow a1 2) in th 2.215 * [taylor]: Taking taylor expansion of a1 in th 2.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.215 * [taylor]: Taking taylor expansion of 2.0 in th 2.215 * [taylor]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) in a1 2.215 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 2.215 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 2.216 * [taylor]: Taking taylor expansion of a2 in a1 2.216 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.216 * [taylor]: Taking taylor expansion of a1 in a1 2.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.216 * [taylor]: Taking taylor expansion of 2.0 in a1 2.216 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 2.216 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.216 * [taylor]: Taking taylor expansion of a2 in a2 2.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.216 * [taylor]: Taking taylor expansion of 2.0 in a2 2.216 * [taylor]: Taking taylor expansion of 0 in a1 2.216 * [taylor]: Taking taylor expansion of 0 in a2 2.216 * [taylor]: Taking taylor expansion of 0 in a2 2.217 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ (pow a1 2) (sqrt 2.0))) (* 1/2 (/ (pow a2 2) (sqrt 2.0))))) in a1 2.217 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow a1 2) (sqrt 2.0))) (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a1 2.217 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2.0))) in a1 2.217 * [taylor]: Taking taylor expansion of 1/2 in a1 2.217 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1 2.217 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.217 * [taylor]: Taking taylor expansion of a1 in a1 2.217 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.217 * [taylor]: Taking taylor expansion of 2.0 in a1 2.218 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a1 2.218 * [taylor]: Taking taylor expansion of 1/2 in a1 2.218 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a1 2.218 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 2.218 * [taylor]: Taking taylor expansion of a2 in a1 2.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.218 * [taylor]: Taking taylor expansion of 2.0 in a1 2.218 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2 2.218 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2 2.218 * [taylor]: Taking taylor expansion of 1/2 in a2 2.218 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 2.218 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.218 * [taylor]: Taking taylor expansion of a2 in a2 2.218 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.218 * [taylor]: Taking taylor expansion of 2.0 in a2 2.218 * [taylor]: Taking taylor expansion of 0 in a2 2.219 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2 2.219 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.219 * [taylor]: Taking taylor expansion of 2.0 in a2 2.220 * [taylor]: Taking taylor expansion of 0 in a1 2.220 * [taylor]: Taking taylor expansion of 0 in a2 2.220 * [taylor]: Taking taylor expansion of 0 in a2 2.220 * [taylor]: Taking taylor expansion of 0 in a2 2.220 * [taylor]: Taking taylor expansion of 0 in a2 2.221 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in (th a1 a2) around 0 2.221 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 2.221 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a2 2.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 2.221 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 2.221 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.221 * [taylor]: Taking taylor expansion of a2 in a2 2.221 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 2.221 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 2.221 * [taylor]: Taking taylor expansion of a1 in a2 2.221 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 2.221 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 2.221 * [taylor]: Taking taylor expansion of th in a2 2.221 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.221 * [taylor]: Taking taylor expansion of 2.0 in a2 2.221 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 2.221 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a1 2.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 2.221 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 2.221 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 2.221 * [taylor]: Taking taylor expansion of a2 in a1 2.221 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 2.221 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.221 * [taylor]: Taking taylor expansion of a1 in a1 2.221 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 2.221 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 2.221 * [taylor]: Taking taylor expansion of th in a1 2.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.222 * [taylor]: Taking taylor expansion of 2.0 in a1 2.222 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in th 2.222 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in th 2.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 2.222 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 2.222 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.222 * [taylor]: Taking taylor expansion of a2 in th 2.222 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 2.222 * [taylor]: Taking taylor expansion of (pow a1 2) in th 2.222 * [taylor]: Taking taylor expansion of a1 in th 2.222 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.222 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.222 * [taylor]: Taking taylor expansion of th in th 2.222 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.222 * [taylor]: Taking taylor expansion of 2.0 in th 2.223 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in th 2.223 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in th 2.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 2.223 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 2.223 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.223 * [taylor]: Taking taylor expansion of a2 in th 2.223 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 2.223 * [taylor]: Taking taylor expansion of (pow a1 2) in th 2.223 * [taylor]: Taking taylor expansion of a1 in th 2.223 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.223 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.223 * [taylor]: Taking taylor expansion of th in th 2.223 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.223 * [taylor]: Taking taylor expansion of 2.0 in th 2.223 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 2.224 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a1 2.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 2.224 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 2.224 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 2.224 * [taylor]: Taking taylor expansion of a2 in a1 2.224 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 2.224 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.224 * [taylor]: Taking taylor expansion of a1 in a1 2.224 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 2.224 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 2.224 * [taylor]: Taking taylor expansion of th in a1 2.224 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.224 * [taylor]: Taking taylor expansion of 2.0 in a1 2.224 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a2 2.224 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 2.224 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 2.224 * [taylor]: Taking taylor expansion of th in a2 2.224 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.224 * [taylor]: Taking taylor expansion of 2.0 in a2 2.225 * [taylor]: Taking taylor expansion of 0 in a1 2.225 * [taylor]: Taking taylor expansion of 0 in a2 2.226 * [taylor]: Taking taylor expansion of 0 in a1 2.227 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 2.227 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 2.227 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 2.227 * [taylor]: Taking taylor expansion of th in a2 2.227 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 2.227 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.227 * [taylor]: Taking taylor expansion of 2.0 in a2 2.227 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.227 * [taylor]: Taking taylor expansion of a2 in a2 2.229 * [taylor]: Taking taylor expansion of 0 in a1 2.229 * [taylor]: Taking taylor expansion of 0 in a2 2.230 * [taylor]: Taking taylor expansion of 0 in a2 2.231 * [taylor]: Taking taylor expansion of 0 in a1 2.231 * [taylor]: Taking taylor expansion of 0 in a2 2.231 * [taylor]: Taking taylor expansion of 0 in a2 2.235 * [taylor]: Taking taylor expansion of 0 in a2 2.236 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in (th a1 a2) around 0 2.237 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 2.237 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a2 2.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 2.237 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 2.237 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.237 * [taylor]: Taking taylor expansion of a2 in a2 2.237 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 2.237 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 2.237 * [taylor]: Taking taylor expansion of a1 in a2 2.237 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 2.237 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 2.237 * [taylor]: Taking taylor expansion of -1 in a2 2.237 * [taylor]: Taking taylor expansion of th in a2 2.237 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.237 * [taylor]: Taking taylor expansion of 2.0 in a2 2.237 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 2.237 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a1 2.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 2.237 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 2.237 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 2.237 * [taylor]: Taking taylor expansion of a2 in a1 2.237 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 2.237 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.237 * [taylor]: Taking taylor expansion of a1 in a1 2.237 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 2.237 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 2.237 * [taylor]: Taking taylor expansion of -1 in a1 2.237 * [taylor]: Taking taylor expansion of th in a1 2.238 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.238 * [taylor]: Taking taylor expansion of 2.0 in a1 2.238 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in th 2.238 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in th 2.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 2.238 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 2.238 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.238 * [taylor]: Taking taylor expansion of a2 in th 2.238 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 2.238 * [taylor]: Taking taylor expansion of (pow a1 2) in th 2.238 * [taylor]: Taking taylor expansion of a1 in th 2.238 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.238 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.238 * [taylor]: Taking taylor expansion of -1 in th 2.238 * [taylor]: Taking taylor expansion of th in th 2.238 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.238 * [taylor]: Taking taylor expansion of 2.0 in th 2.239 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in th 2.239 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in th 2.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 2.239 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 2.239 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.239 * [taylor]: Taking taylor expansion of a2 in th 2.239 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 2.239 * [taylor]: Taking taylor expansion of (pow a1 2) in th 2.239 * [taylor]: Taking taylor expansion of a1 in th 2.239 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.239 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.239 * [taylor]: Taking taylor expansion of -1 in th 2.239 * [taylor]: Taking taylor expansion of th in th 2.239 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.239 * [taylor]: Taking taylor expansion of 2.0 in th 2.240 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 2.240 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a1 2.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 2.240 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 2.240 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 2.240 * [taylor]: Taking taylor expansion of a2 in a1 2.240 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 2.240 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.240 * [taylor]: Taking taylor expansion of a1 in a1 2.240 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 2.240 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 2.240 * [taylor]: Taking taylor expansion of -1 in a1 2.240 * [taylor]: Taking taylor expansion of th in a1 2.240 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.240 * [taylor]: Taking taylor expansion of 2.0 in a1 2.240 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a2 2.240 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 2.240 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 2.240 * [taylor]: Taking taylor expansion of -1 in a2 2.240 * [taylor]: Taking taylor expansion of th in a2 2.240 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.240 * [taylor]: Taking taylor expansion of 2.0 in a2 2.241 * [taylor]: Taking taylor expansion of 0 in a1 2.241 * [taylor]: Taking taylor expansion of 0 in a2 2.242 * [taylor]: Taking taylor expansion of 0 in a1 2.243 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 2.243 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 2.243 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 2.243 * [taylor]: Taking taylor expansion of -1 in a2 2.243 * [taylor]: Taking taylor expansion of th in a2 2.243 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 2.243 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.243 * [taylor]: Taking taylor expansion of 2.0 in a2 2.243 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.243 * [taylor]: Taking taylor expansion of a2 in a2 2.245 * [taylor]: Taking taylor expansion of 0 in a1 2.245 * [taylor]: Taking taylor expansion of 0 in a2 2.246 * [taylor]: Taking taylor expansion of 0 in a2 2.247 * [taylor]: Taking taylor expansion of 0 in a1 2.247 * [taylor]: Taking taylor expansion of 0 in a2 2.247 * [taylor]: Taking taylor expansion of 0 in a2 2.249 * [taylor]: Taking taylor expansion of 0 in a2 2.250 * * * [progress]: simplifying candidates 2.251 * [simplify]: Simplifying using # : (- (log (cos th)) (log (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (exp (/ (cos th) (sqrt 2.0))) (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt 2.0))) (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (/ (cos th) (sqrt 2.0))) (neg (cos th)) (neg (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (cbrt (sqrt 2.0))) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cos th) (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt 1)) (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 1) (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) (cos th)) (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt 1)) (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) 1) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt 2.0) (cos th)) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (+ (- (log (cos th)) (log (sqrt 2.0))) (log (+ (* a1 a1) (* a2 a2)))) (+ (log (/ (cos th) (sqrt 2.0))) (log (+ (* a1 a1) (* a2 a2)))) (log (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (exp (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))) (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))) (* (cbrt (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (cbrt (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))))) (cbrt (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (* (* (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (sqrt (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (sqrt (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (* (cos th) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (* (sqrt 2.0) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))) (* (cos th) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (sqrt 2.0) (- (* a1 a1) (* a2 a2))) (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (* a1 a1) (/ (cos th) (sqrt 2.0))) (* (* a2 a2) (/ (cos th) (sqrt 2.0))) (* (/ (cos th) (sqrt 2.0)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt 2.0)) 1) (* (cbrt (/ (cos th) (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (sqrt (/ (cos th) (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (cbrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt (cbrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ 1 (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (* (/ (cos th) (sqrt 2.0)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (cos th) (+ (* a1 a1) (* a2 a2))) (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (+ (/ (pow a1 2) (sqrt 2.0)) (/ (pow a2 2) (sqrt 2.0))) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) 2.257 * * [simplify]: iteration 0 : 479 enodes (cost 795 ) 2.266 * * [simplify]: iteration 1 : 2384 enodes (cost 738 ) 2.296 * * [simplify]: iteration 2 : 5003 enodes (cost 725 ) 2.300 * [simplify]: Simplified to: (log (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (exp (/ (cos th) (sqrt 2.0))) (pow (/ (cos th) (sqrt 2.0)) 3) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt 2.0))) (pow (/ (cos th) (sqrt 2.0)) 3) (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (/ (cos th) (sqrt 2.0))) (neg (cos th)) (neg (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (/ (cbrt (cos th)) (/ (fabs (cbrt 2.0)) (cbrt (cos th)))) (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (fabs (cbrt 2.0))) (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (cbrt (sqrt 2.0))) (/ 1 (* (fabs (cbrt 2.0)) 1)) (/ (cos th) (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) 1 (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) 1 (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) (cos th)) (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (fabs (cbrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (cos th) (/ (cos th) (sqrt (sqrt 2.0))) (cos th) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt 2.0) (cos th)) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (log (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (log (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (log (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (exp (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (pow (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) 3) (pow (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) 3) (* (cbrt (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (cbrt (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))))) (cbrt (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (pow (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) 3) (sqrt (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (sqrt (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2)))) (* (cos th) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (* (+ (* (pow a2 2) (- (pow a2 2) (pow a1 2))) (* (* a1 a1) (* a1 a1))) (sqrt 2.0)) (* (/ (+ (* (neg (pow a2 3)) a2) (pow a1 4)) 1) (cos th)) (* (sqrt 2.0) (- (* a1 a1) (* a2 a2))) (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (cos th) (sqrt 2.0)) (* (cbrt (/ (cos th) (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (sqrt (/ (cos th) (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cbrt (cos th)) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (sqrt (cos th)) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (cbrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt (cbrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (* (/ (cos th) (sqrt 2.0)) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (* (/ (cos th) (sqrt 2.0)) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (cos th) (+ (* a1 a1) (* a2 a2))) (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (/ (+ (* a1 a1) (* a2 a2)) (sqrt 2.0)) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) 2.301 * * * [progress]: adding candidates to table 2.439 * * [progress]: iteration 2 / 4 2.439 * * * [progress]: picking best candidate 2.470 * * * * [pick]: Picked # 2.470 * * * [progress]: localizing error 2.482 * * * [progress]: generating rewritten candidates 2.482 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 2.501 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 2.506 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 2.616 * * * [progress]: generating series expansions 2.616 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 2.616 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 2.616 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 2.616 * [taylor]: Taking taylor expansion of (cos th) in th 2.616 * [taylor]: Taking taylor expansion of th in th 2.616 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.616 * [taylor]: Taking taylor expansion of 2.0 in th 2.616 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 2.616 * [taylor]: Taking taylor expansion of (cos th) in th 2.616 * [taylor]: Taking taylor expansion of th in th 2.616 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.616 * [taylor]: Taking taylor expansion of 2.0 in th 2.618 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 2.618 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 2.618 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.618 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.618 * [taylor]: Taking taylor expansion of th in th 2.618 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.618 * [taylor]: Taking taylor expansion of 2.0 in th 2.618 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 2.618 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.618 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.618 * [taylor]: Taking taylor expansion of th in th 2.618 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.618 * [taylor]: Taking taylor expansion of 2.0 in th 2.620 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 2.620 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 2.620 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.620 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.620 * [taylor]: Taking taylor expansion of -1 in th 2.620 * [taylor]: Taking taylor expansion of th in th 2.620 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.620 * [taylor]: Taking taylor expansion of 2.0 in th 2.620 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 2.620 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.620 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.620 * [taylor]: Taking taylor expansion of -1 in th 2.620 * [taylor]: Taking taylor expansion of th in th 2.620 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.620 * [taylor]: Taking taylor expansion of 2.0 in th 2.622 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 2.622 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0 2.622 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 2.622 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 2.622 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 2.622 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.622 * [taylor]: Taking taylor expansion of 2.0 in th 2.622 * [taylor]: Taking taylor expansion of (cos th) in th 2.622 * [taylor]: Taking taylor expansion of th in th 2.622 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 2.622 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 2.629 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 2.629 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.629 * [taylor]: Taking taylor expansion of 2.0 in th 2.629 * [taylor]: Taking taylor expansion of (cos th) in th 2.629 * [taylor]: Taking taylor expansion of th in th 2.631 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in (th) around 0 2.631 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 2.632 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 2.632 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 2.632 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.632 * [taylor]: Taking taylor expansion of 2.0 in th 2.632 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.632 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.632 * [taylor]: Taking taylor expansion of th in th 2.632 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 2.632 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 2.632 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 2.632 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.632 * [taylor]: Taking taylor expansion of 2.0 in th 2.632 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.632 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.632 * [taylor]: Taking taylor expansion of th in th 2.634 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in (th) around 0 2.634 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 2.634 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 2.634 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 2.634 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.634 * [taylor]: Taking taylor expansion of 2.0 in th 2.634 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.634 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.634 * [taylor]: Taking taylor expansion of -1 in th 2.634 * [taylor]: Taking taylor expansion of th in th 2.635 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 2.635 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 2.635 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 2.635 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.635 * [taylor]: Taking taylor expansion of 2.0 in th 2.635 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.635 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.635 * [taylor]: Taking taylor expansion of -1 in th 2.635 * [taylor]: Taking taylor expansion of th in th 2.637 * * * * [progress]: [ 3 / 3 ] generating series at (2) 2.637 * [approximate]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in (th a1 a2) around 0 2.637 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 2.637 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in a2 2.637 * [taylor]: Taking taylor expansion of (cos th) in a2 2.637 * [taylor]: Taking taylor expansion of th in a2 2.637 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 2.637 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.637 * [taylor]: Taking taylor expansion of a2 in a2 2.637 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 2.637 * [taylor]: Taking taylor expansion of a1 in a2 2.637 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.637 * [taylor]: Taking taylor expansion of 2.0 in a2 2.638 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 2.638 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in a1 2.638 * [taylor]: Taking taylor expansion of (cos th) in a1 2.638 * [taylor]: Taking taylor expansion of th in a1 2.638 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 2.638 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 2.638 * [taylor]: Taking taylor expansion of a2 in a1 2.638 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.638 * [taylor]: Taking taylor expansion of a1 in a1 2.638 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.638 * [taylor]: Taking taylor expansion of 2.0 in a1 2.638 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in th 2.638 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in th 2.638 * [taylor]: Taking taylor expansion of (cos th) in th 2.638 * [taylor]: Taking taylor expansion of th in th 2.638 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th 2.638 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.638 * [taylor]: Taking taylor expansion of a2 in th 2.638 * [taylor]: Taking taylor expansion of (pow a1 2) in th 2.638 * [taylor]: Taking taylor expansion of a1 in th 2.638 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.638 * [taylor]: Taking taylor expansion of 2.0 in th 2.639 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in th 2.639 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in th 2.639 * [taylor]: Taking taylor expansion of (cos th) in th 2.639 * [taylor]: Taking taylor expansion of th in th 2.639 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th 2.639 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.639 * [taylor]: Taking taylor expansion of a2 in th 2.639 * [taylor]: Taking taylor expansion of (pow a1 2) in th 2.639 * [taylor]: Taking taylor expansion of a1 in th 2.639 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.639 * [taylor]: Taking taylor expansion of 2.0 in th 2.639 * [taylor]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) in a1 2.639 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 2.639 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 2.639 * [taylor]: Taking taylor expansion of a2 in a1 2.639 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.639 * [taylor]: Taking taylor expansion of a1 in a1 2.639 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.639 * [taylor]: Taking taylor expansion of 2.0 in a1 2.640 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 2.640 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.640 * [taylor]: Taking taylor expansion of a2 in a2 2.640 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.640 * [taylor]: Taking taylor expansion of 2.0 in a2 2.640 * [taylor]: Taking taylor expansion of 0 in a1 2.640 * [taylor]: Taking taylor expansion of 0 in a2 2.640 * [taylor]: Taking taylor expansion of 0 in a2 2.641 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ (pow a1 2) (sqrt 2.0))) (* 1/2 (/ (pow a2 2) (sqrt 2.0))))) in a1 2.641 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow a1 2) (sqrt 2.0))) (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a1 2.641 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2.0))) in a1 2.641 * [taylor]: Taking taylor expansion of 1/2 in a1 2.641 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1 2.641 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.641 * [taylor]: Taking taylor expansion of a1 in a1 2.641 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.641 * [taylor]: Taking taylor expansion of 2.0 in a1 2.641 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a1 2.641 * [taylor]: Taking taylor expansion of 1/2 in a1 2.641 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a1 2.641 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 2.641 * [taylor]: Taking taylor expansion of a2 in a1 2.641 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.641 * [taylor]: Taking taylor expansion of 2.0 in a1 2.642 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2 2.642 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2 2.642 * [taylor]: Taking taylor expansion of 1/2 in a2 2.642 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 2.642 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.642 * [taylor]: Taking taylor expansion of a2 in a2 2.642 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.642 * [taylor]: Taking taylor expansion of 2.0 in a2 2.642 * [taylor]: Taking taylor expansion of 0 in a2 2.642 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2 2.642 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.642 * [taylor]: Taking taylor expansion of 2.0 in a2 2.643 * [taylor]: Taking taylor expansion of 0 in a1 2.643 * [taylor]: Taking taylor expansion of 0 in a2 2.644 * [taylor]: Taking taylor expansion of 0 in a2 2.644 * [taylor]: Taking taylor expansion of 0 in a2 2.644 * [taylor]: Taking taylor expansion of 0 in a2 2.644 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in (th a1 a2) around 0 2.644 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 2.644 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a2 2.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 2.644 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 2.645 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.645 * [taylor]: Taking taylor expansion of a2 in a2 2.645 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 2.645 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 2.645 * [taylor]: Taking taylor expansion of a1 in a2 2.645 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 2.645 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 2.645 * [taylor]: Taking taylor expansion of th in a2 2.645 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.645 * [taylor]: Taking taylor expansion of 2.0 in a2 2.645 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 2.645 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a1 2.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 2.645 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 2.645 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 2.645 * [taylor]: Taking taylor expansion of a2 in a1 2.645 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 2.645 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.645 * [taylor]: Taking taylor expansion of a1 in a1 2.645 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 2.645 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 2.645 * [taylor]: Taking taylor expansion of th in a1 2.645 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.645 * [taylor]: Taking taylor expansion of 2.0 in a1 2.646 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in th 2.646 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in th 2.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 2.646 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 2.646 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.646 * [taylor]: Taking taylor expansion of a2 in th 2.646 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 2.646 * [taylor]: Taking taylor expansion of (pow a1 2) in th 2.646 * [taylor]: Taking taylor expansion of a1 in th 2.646 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.646 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.646 * [taylor]: Taking taylor expansion of th in th 2.646 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.646 * [taylor]: Taking taylor expansion of 2.0 in th 2.646 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in th 2.646 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in th 2.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 2.647 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 2.647 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.647 * [taylor]: Taking taylor expansion of a2 in th 2.647 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 2.647 * [taylor]: Taking taylor expansion of (pow a1 2) in th 2.647 * [taylor]: Taking taylor expansion of a1 in th 2.647 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.647 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.647 * [taylor]: Taking taylor expansion of th in th 2.647 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.647 * [taylor]: Taking taylor expansion of 2.0 in th 2.647 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 2.647 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a1 2.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 2.647 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 2.647 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 2.647 * [taylor]: Taking taylor expansion of a2 in a1 2.648 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 2.648 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.648 * [taylor]: Taking taylor expansion of a1 in a1 2.648 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 2.648 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 2.648 * [taylor]: Taking taylor expansion of th in a1 2.648 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.648 * [taylor]: Taking taylor expansion of 2.0 in a1 2.648 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a2 2.648 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 2.648 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 2.648 * [taylor]: Taking taylor expansion of th in a2 2.648 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.648 * [taylor]: Taking taylor expansion of 2.0 in a2 2.649 * [taylor]: Taking taylor expansion of 0 in a1 2.649 * [taylor]: Taking taylor expansion of 0 in a2 2.650 * [taylor]: Taking taylor expansion of 0 in a1 2.651 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 2.651 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 2.651 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 2.651 * [taylor]: Taking taylor expansion of th in a2 2.651 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 2.651 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.651 * [taylor]: Taking taylor expansion of 2.0 in a2 2.651 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.651 * [taylor]: Taking taylor expansion of a2 in a2 2.652 * [taylor]: Taking taylor expansion of 0 in a1 2.652 * [taylor]: Taking taylor expansion of 0 in a2 2.653 * [taylor]: Taking taylor expansion of 0 in a2 2.655 * [taylor]: Taking taylor expansion of 0 in a1 2.655 * [taylor]: Taking taylor expansion of 0 in a2 2.655 * [taylor]: Taking taylor expansion of 0 in a2 2.656 * [taylor]: Taking taylor expansion of 0 in a2 2.658 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in (th a1 a2) around 0 2.658 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 2.658 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a2 2.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 2.658 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 2.658 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.658 * [taylor]: Taking taylor expansion of a2 in a2 2.658 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 2.658 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 2.658 * [taylor]: Taking taylor expansion of a1 in a2 2.658 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 2.658 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 2.658 * [taylor]: Taking taylor expansion of -1 in a2 2.658 * [taylor]: Taking taylor expansion of th in a2 2.658 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.658 * [taylor]: Taking taylor expansion of 2.0 in a2 2.659 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 2.659 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a1 2.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 2.659 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 2.659 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 2.659 * [taylor]: Taking taylor expansion of a2 in a1 2.659 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 2.659 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.659 * [taylor]: Taking taylor expansion of a1 in a1 2.659 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 2.659 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 2.659 * [taylor]: Taking taylor expansion of -1 in a1 2.659 * [taylor]: Taking taylor expansion of th in a1 2.659 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.659 * [taylor]: Taking taylor expansion of 2.0 in a1 2.659 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in th 2.659 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in th 2.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 2.659 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 2.659 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.659 * [taylor]: Taking taylor expansion of a2 in th 2.659 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 2.659 * [taylor]: Taking taylor expansion of (pow a1 2) in th 2.659 * [taylor]: Taking taylor expansion of a1 in th 2.659 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.660 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.660 * [taylor]: Taking taylor expansion of -1 in th 2.660 * [taylor]: Taking taylor expansion of th in th 2.660 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.660 * [taylor]: Taking taylor expansion of 2.0 in th 2.660 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in th 2.660 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in th 2.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 2.660 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 2.660 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.660 * [taylor]: Taking taylor expansion of a2 in th 2.660 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 2.660 * [taylor]: Taking taylor expansion of (pow a1 2) in th 2.660 * [taylor]: Taking taylor expansion of a1 in th 2.660 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.660 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.660 * [taylor]: Taking taylor expansion of -1 in th 2.660 * [taylor]: Taking taylor expansion of th in th 2.660 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.660 * [taylor]: Taking taylor expansion of 2.0 in th 2.661 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 2.661 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a1 2.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 2.661 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 2.661 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 2.661 * [taylor]: Taking taylor expansion of a2 in a1 2.661 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 2.661 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 2.661 * [taylor]: Taking taylor expansion of a1 in a1 2.661 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 2.661 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 2.661 * [taylor]: Taking taylor expansion of -1 in a1 2.661 * [taylor]: Taking taylor expansion of th in a1 2.661 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 2.661 * [taylor]: Taking taylor expansion of 2.0 in a1 2.662 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a2 2.662 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 2.662 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 2.662 * [taylor]: Taking taylor expansion of -1 in a2 2.662 * [taylor]: Taking taylor expansion of th in a2 2.662 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.662 * [taylor]: Taking taylor expansion of 2.0 in a2 2.662 * [taylor]: Taking taylor expansion of 0 in a1 2.663 * [taylor]: Taking taylor expansion of 0 in a2 2.664 * [taylor]: Taking taylor expansion of 0 in a1 2.664 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 2.665 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 2.665 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 2.665 * [taylor]: Taking taylor expansion of -1 in a2 2.665 * [taylor]: Taking taylor expansion of th in a2 2.665 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 2.665 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.665 * [taylor]: Taking taylor expansion of 2.0 in a2 2.665 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.665 * [taylor]: Taking taylor expansion of a2 in a2 2.666 * [taylor]: Taking taylor expansion of 0 in a1 2.666 * [taylor]: Taking taylor expansion of 0 in a2 2.667 * [taylor]: Taking taylor expansion of 0 in a2 2.669 * [taylor]: Taking taylor expansion of 0 in a1 2.669 * [taylor]: Taking taylor expansion of 0 in a2 2.669 * [taylor]: Taking taylor expansion of 0 in a2 2.670 * [taylor]: Taking taylor expansion of 0 in a2 2.672 * * * [progress]: simplifying candidates 2.684 * [simplify]: Simplifying using # : (- (- (log (cos th)) (log (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0)))) (- (log (/ (cos th) (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0)))) (log (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (exp (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (* (* (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ (cos th) (sqrt 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a2 a2))) (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (+ (sqrt (/ 1 (sqrt 2.0))) (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2.0)))))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2.0)))))) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (+ (/ (pow a1 2) (sqrt 2.0)) (/ (pow a2 2) (sqrt 2.0))) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) 2.717 * * [simplify]: iteration 0 : 1950 enodes (cost 10359 ) 2.746 * * [simplify]: iteration 1 : 5001 enodes (cost 9505 ) 2.786 * [simplify]: Simplified to: (log (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (exp (/ (cos th) (sqrt 2.0))) (pow (/ (cos th) (sqrt 2.0)) 3) (pow (/ (cos th) (sqrt 2.0)) 3) (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (cbrt (/ (/ (cos th) 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(sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2.0))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2.0))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2.0))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2.0))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2.0))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2.0))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2.0))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2.0))) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2.0))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (+ (* a1 a1) (* a2 a2)) (/ 1 (sqrt 2.0))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (+ (* a1 a1) (* a2 a2)) (/ 1 (sqrt 2.0))) (* (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (+ (* a1 a1) (* a2 a2))) (* (+ (* a1 a1) (* a2 a2)) (/ 1 (sqrt 2.0))) (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2.0))) (* (/ 1 (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)) (/ (cos th) (sqrt 2.0))) (* (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))) (/ (cos th) (sqrt 2.0))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (+ (sqrt (/ 1 (sqrt 2.0))) (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2.0)))))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2.0)))))) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (+ (/ (pow a1 2) (sqrt 2.0)) (/ (pow a2 2) (sqrt 2.0))) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) 2.792 * * * [progress]: adding candidates to table 4.129 * * [progress]: iteration 3 / 4 4.129 * * * [progress]: picking best candidate 4.166 * * * * [pick]: Picked # 4.166 * * * [progress]: localizing error 4.182 * * * [progress]: generating rewritten candidates 4.182 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 4.187 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 4.200 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 4.348 * * * [progress]: generating series expansions 4.349 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 4.349 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0 4.349 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 4.349 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.349 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.349 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.349 * [taylor]: Taking taylor expansion of 2.0 in th 4.349 * [taylor]: Taking taylor expansion of (cos th) in th 4.349 * [taylor]: Taking taylor expansion of th in th 4.349 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 4.349 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.349 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.349 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.349 * [taylor]: Taking taylor expansion of 2.0 in th 4.349 * [taylor]: Taking taylor expansion of (cos th) in th 4.349 * [taylor]: Taking taylor expansion of th in th 4.351 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in (th) around 0 4.351 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 4.351 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.351 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.351 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.351 * [taylor]: Taking taylor expansion of 2.0 in th 4.352 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.352 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.352 * [taylor]: Taking taylor expansion of th in th 4.352 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 4.352 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.352 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.352 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.352 * [taylor]: Taking taylor expansion of 2.0 in th 4.352 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.352 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.352 * [taylor]: Taking taylor expansion of th in th 4.354 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in (th) around 0 4.354 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 4.354 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.354 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.354 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.354 * [taylor]: Taking taylor expansion of 2.0 in th 4.354 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.354 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.354 * [taylor]: Taking taylor expansion of -1 in th 4.354 * [taylor]: Taking taylor expansion of th in th 4.354 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 4.354 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.354 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.354 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.354 * [taylor]: Taking taylor expansion of 2.0 in th 4.355 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.355 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.355 * [taylor]: Taking taylor expansion of -1 in th 4.355 * [taylor]: Taking taylor expansion of th in th 4.357 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 4.357 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (cos th) (+ (pow a2 2) (pow a1 2)))) in (th a1 a2) around 0 4.357 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (cos th) (+ (pow a2 2) (pow a1 2)))) in a2 4.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2 4.357 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2 4.357 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.357 * [taylor]: Taking taylor expansion of 2.0 in a2 4.357 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in a2 4.357 * [taylor]: Taking taylor expansion of (cos th) in a2 4.357 * [taylor]: Taking taylor expansion of th in a2 4.357 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 4.357 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 4.357 * [taylor]: Taking taylor expansion of a2 in a2 4.357 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 4.357 * [taylor]: Taking taylor expansion of a1 in a2 4.357 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (cos th) (+ (pow a2 2) (pow a1 2)))) in a1 4.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1 4.357 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1 4.357 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 4.357 * [taylor]: Taking taylor expansion of 2.0 in a1 4.358 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in a1 4.358 * [taylor]: Taking taylor expansion of (cos th) in a1 4.358 * [taylor]: Taking taylor expansion of th in a1 4.358 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 4.358 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 4.358 * [taylor]: Taking taylor expansion of a2 in a1 4.358 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 4.358 * [taylor]: Taking taylor expansion of a1 in a1 4.358 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (cos th) (+ (pow a2 2) (pow a1 2)))) in th 4.358 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.358 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.358 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.358 * [taylor]: Taking taylor expansion of 2.0 in th 4.358 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in th 4.358 * [taylor]: Taking taylor expansion of (cos th) in th 4.358 * [taylor]: Taking taylor expansion of th in th 4.358 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th 4.358 * [taylor]: Taking taylor expansion of (pow a2 2) in th 4.358 * [taylor]: Taking taylor expansion of a2 in th 4.358 * [taylor]: Taking taylor expansion of (pow a1 2) in th 4.358 * [taylor]: Taking taylor expansion of a1 in th 4.358 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (* (cos th) (+ (pow a2 2) (pow a1 2)))) in th 4.358 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.358 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.358 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.358 * [taylor]: Taking taylor expansion of 2.0 in th 4.358 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in th 4.358 * [taylor]: Taking taylor expansion of (cos th) in th 4.358 * [taylor]: Taking taylor expansion of th in th 4.358 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th 4.358 * [taylor]: Taking taylor expansion of (pow a2 2) in th 4.358 * [taylor]: Taking taylor expansion of a2 in th 4.358 * [taylor]: Taking taylor expansion of (pow a1 2) in th 4.358 * [taylor]: Taking taylor expansion of a1 in th 4.359 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (+ (pow a2 2) (pow a1 2))) in a1 4.359 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1 4.359 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1 4.359 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 4.359 * [taylor]: Taking taylor expansion of 2.0 in a1 4.359 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 4.359 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 4.359 * [taylor]: Taking taylor expansion of a2 in a1 4.359 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 4.359 * [taylor]: Taking taylor expansion of a1 in a1 4.359 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)) in a2 4.359 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2 4.359 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2 4.359 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.359 * [taylor]: Taking taylor expansion of 2.0 in a2 4.360 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 4.360 * [taylor]: Taking taylor expansion of a2 in a2 4.360 * [taylor]: Taking taylor expansion of 0 in a1 4.360 * [taylor]: Taking taylor expansion of 0 in a2 4.360 * [taylor]: Taking taylor expansion of 0 in a2 4.369 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (* (pow a1 2) (sqrt (/ 1 (sqrt 2.0))))) (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2))))) in a1 4.369 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (pow a1 2) (sqrt (/ 1 (sqrt 2.0))))) (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)))) in a1 4.369 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow a1 2) (sqrt (/ 1 (sqrt 2.0))))) in a1 4.369 * [taylor]: Taking taylor expansion of 1/2 in a1 4.369 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt (/ 1 (sqrt 2.0)))) in a1 4.369 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 4.369 * [taylor]: Taking taylor expansion of a1 in a1 4.369 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1 4.369 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1 4.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 4.369 * [taylor]: Taking taylor expansion of 2.0 in a1 4.369 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2))) in a1 4.369 * [taylor]: Taking taylor expansion of 1/2 in a1 4.369 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)) in a1 4.369 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1 4.369 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1 4.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 4.369 * [taylor]: Taking taylor expansion of 2.0 in a1 4.370 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 4.370 * [taylor]: Taking taylor expansion of a2 in a1 4.370 * [taylor]: Taking taylor expansion of (neg (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)))) in a2 4.370 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2))) in a2 4.370 * [taylor]: Taking taylor expansion of 1/2 in a2 4.370 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (pow a2 2)) in a2 4.370 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2 4.370 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2 4.370 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.370 * [taylor]: Taking taylor expansion of 2.0 in a2 4.370 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 4.370 * [taylor]: Taking taylor expansion of a2 in a2 4.370 * [taylor]: Taking taylor expansion of 0 in a2 4.371 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2 4.371 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2 4.371 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.371 * [taylor]: Taking taylor expansion of 2.0 in a2 4.372 * [taylor]: Taking taylor expansion of 0 in a1 4.372 * [taylor]: Taking taylor expansion of 0 in a2 4.373 * [taylor]: Taking taylor expansion of 0 in a2 4.373 * [taylor]: Taking taylor expansion of 0 in a2 4.373 * [taylor]: Taking taylor expansion of 0 in a2 4.374 * [approximate]: Taking taylor expansion of (* (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt (/ 1 (sqrt 2.0)))) in (th a1 a2) around 0 4.374 * [taylor]: Taking taylor expansion of (* (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt (/ 1 (sqrt 2.0)))) in a2 4.374 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a2 4.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 4.374 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 4.374 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 4.374 * [taylor]: Taking taylor expansion of a2 in a2 4.374 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 4.374 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 4.374 * [taylor]: Taking taylor expansion of a1 in a2 4.374 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 4.374 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 4.374 * [taylor]: Taking taylor expansion of th in a2 4.374 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2 4.374 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2 4.374 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.374 * [taylor]: Taking taylor expansion of 2.0 in a2 4.374 * [taylor]: Taking taylor expansion of (* (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt (/ 1 (sqrt 2.0)))) in a1 4.374 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a1 4.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 4.374 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 4.374 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 4.374 * [taylor]: Taking taylor expansion of a2 in a1 4.375 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 4.375 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 4.375 * [taylor]: Taking taylor expansion of a1 in a1 4.375 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 4.375 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 4.375 * [taylor]: Taking taylor expansion of th in a1 4.375 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1 4.375 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1 4.375 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 4.375 * [taylor]: Taking taylor expansion of 2.0 in a1 4.375 * [taylor]: Taking taylor expansion of (* (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt (/ 1 (sqrt 2.0)))) in th 4.375 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in th 4.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 4.375 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 4.375 * [taylor]: Taking taylor expansion of (pow a2 2) in th 4.375 * [taylor]: Taking taylor expansion of a2 in th 4.375 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 4.375 * [taylor]: Taking taylor expansion of (pow a1 2) in th 4.375 * [taylor]: Taking taylor expansion of a1 in th 4.375 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.375 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.375 * [taylor]: Taking taylor expansion of th in th 4.375 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.375 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.375 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.375 * [taylor]: Taking taylor expansion of 2.0 in th 4.376 * [taylor]: Taking taylor expansion of (* (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt (/ 1 (sqrt 2.0)))) in th 4.376 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in th 4.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 4.376 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 4.376 * [taylor]: Taking taylor expansion of (pow a2 2) in th 4.376 * [taylor]: Taking taylor expansion of a2 in th 4.376 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 4.376 * [taylor]: Taking taylor expansion of (pow a1 2) in th 4.376 * [taylor]: Taking taylor expansion of a1 in th 4.376 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.376 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.376 * [taylor]: Taking taylor expansion of th in th 4.376 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.376 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.376 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.376 * [taylor]: Taking taylor expansion of 2.0 in th 4.377 * [taylor]: Taking taylor expansion of (* (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt (/ 1 (sqrt 2.0)))) in a1 4.377 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a1 4.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 4.377 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 4.377 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 4.377 * [taylor]: Taking taylor expansion of a2 in a1 4.377 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 4.377 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 4.377 * [taylor]: Taking taylor expansion of a1 in a1 4.377 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 4.377 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 4.377 * [taylor]: Taking taylor expansion of th in a1 4.377 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1 4.377 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1 4.377 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 4.377 * [taylor]: Taking taylor expansion of 2.0 in a1 4.377 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in a2 4.377 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2 4.377 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2 4.377 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.378 * [taylor]: Taking taylor expansion of 2.0 in a2 4.378 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 4.378 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 4.378 * [taylor]: Taking taylor expansion of th in a2 4.378 * [taylor]: Taking taylor expansion of 0 in a1 4.379 * [taylor]: Taking taylor expansion of 0 in a2 4.380 * [taylor]: Taking taylor expansion of 0 in a1 4.381 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos (/ 1 th)) (pow a2 2))) in a2 4.381 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2 4.381 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2 4.381 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.381 * [taylor]: Taking taylor expansion of 2.0 in a2 4.381 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (pow a2 2)) in a2 4.381 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 4.381 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 4.381 * [taylor]: Taking taylor expansion of th in a2 4.381 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 4.381 * [taylor]: Taking taylor expansion of a2 in a2 4.382 * [taylor]: Taking taylor expansion of 0 in a1 4.383 * [taylor]: Taking taylor expansion of 0 in a2 4.384 * [taylor]: Taking taylor expansion of 0 in a2 4.385 * [taylor]: Taking taylor expansion of 0 in a1 4.385 * [taylor]: Taking taylor expansion of 0 in a2 4.385 * [taylor]: Taking taylor expansion of 0 in a2 4.387 * [taylor]: Taking taylor expansion of 0 in a2 4.389 * [approximate]: Taking taylor expansion of (* (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt (/ 1 (sqrt 2.0)))) in (th a1 a2) around 0 4.389 * [taylor]: Taking taylor expansion of (* (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt (/ 1 (sqrt 2.0)))) in a2 4.389 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a2 4.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 4.389 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 4.389 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 4.389 * [taylor]: Taking taylor expansion of a2 in a2 4.389 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 4.389 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 4.389 * [taylor]: Taking taylor expansion of a1 in a2 4.389 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 4.389 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 4.389 * [taylor]: Taking taylor expansion of -1 in a2 4.389 * [taylor]: Taking taylor expansion of th in a2 4.389 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2 4.389 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2 4.389 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.389 * [taylor]: Taking taylor expansion of 2.0 in a2 4.389 * [taylor]: Taking taylor expansion of (* (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt (/ 1 (sqrt 2.0)))) in a1 4.389 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a1 4.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 4.389 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 4.389 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 4.389 * [taylor]: Taking taylor expansion of a2 in a1 4.390 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 4.390 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 4.390 * [taylor]: Taking taylor expansion of a1 in a1 4.390 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 4.390 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 4.390 * [taylor]: Taking taylor expansion of -1 in a1 4.390 * [taylor]: Taking taylor expansion of th in a1 4.390 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1 4.390 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1 4.390 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 4.390 * [taylor]: Taking taylor expansion of 2.0 in a1 4.390 * [taylor]: Taking taylor expansion of (* (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt (/ 1 (sqrt 2.0)))) in th 4.390 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in th 4.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 4.390 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 4.390 * [taylor]: Taking taylor expansion of (pow a2 2) in th 4.390 * [taylor]: Taking taylor expansion of a2 in th 4.390 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 4.390 * [taylor]: Taking taylor expansion of (pow a1 2) in th 4.390 * [taylor]: Taking taylor expansion of a1 in th 4.390 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.390 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.390 * [taylor]: Taking taylor expansion of -1 in th 4.390 * [taylor]: Taking taylor expansion of th in th 4.390 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.390 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.390 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.390 * [taylor]: Taking taylor expansion of 2.0 in th 4.391 * [taylor]: Taking taylor expansion of (* (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt (/ 1 (sqrt 2.0)))) in th 4.391 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in th 4.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 4.391 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 4.391 * [taylor]: Taking taylor expansion of (pow a2 2) in th 4.391 * [taylor]: Taking taylor expansion of a2 in th 4.391 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 4.391 * [taylor]: Taking taylor expansion of (pow a1 2) in th 4.391 * [taylor]: Taking taylor expansion of a1 in th 4.391 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.391 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.391 * [taylor]: Taking taylor expansion of -1 in th 4.391 * [taylor]: Taking taylor expansion of th in th 4.391 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.391 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.391 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.391 * [taylor]: Taking taylor expansion of 2.0 in th 4.392 * [taylor]: Taking taylor expansion of (* (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt (/ 1 (sqrt 2.0)))) in a1 4.392 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a1 4.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 4.392 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 4.392 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 4.392 * [taylor]: Taking taylor expansion of a2 in a1 4.392 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 4.392 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 4.392 * [taylor]: Taking taylor expansion of a1 in a1 4.392 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 4.392 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 4.392 * [taylor]: Taking taylor expansion of -1 in a1 4.392 * [taylor]: Taking taylor expansion of th in a1 4.392 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a1 4.392 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1 4.392 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 4.392 * [taylor]: Taking taylor expansion of 2.0 in a1 4.392 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in a2 4.392 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2 4.392 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2 4.392 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.392 * [taylor]: Taking taylor expansion of 2.0 in a2 4.393 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 4.393 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 4.393 * [taylor]: Taking taylor expansion of -1 in a2 4.393 * [taylor]: Taking taylor expansion of th in a2 4.393 * [taylor]: Taking taylor expansion of 0 in a1 4.394 * [taylor]: Taking taylor expansion of 0 in a2 4.395 * [taylor]: Taking taylor expansion of 0 in a1 4.396 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (/ (cos (/ -1 th)) (pow a2 2))) in a2 4.396 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in a2 4.396 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2 4.396 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.396 * [taylor]: Taking taylor expansion of 2.0 in a2 4.396 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (pow a2 2)) in a2 4.396 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 4.396 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 4.396 * [taylor]: Taking taylor expansion of -1 in a2 4.396 * [taylor]: Taking taylor expansion of th in a2 4.396 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 4.396 * [taylor]: Taking taylor expansion of a2 in a2 4.398 * [taylor]: Taking taylor expansion of 0 in a1 4.398 * [taylor]: Taking taylor expansion of 0 in a2 4.399 * [taylor]: Taking taylor expansion of 0 in a2 4.400 * [taylor]: Taking taylor expansion of 0 in a1 4.400 * [taylor]: Taking taylor expansion of 0 in a2 4.401 * [taylor]: Taking taylor expansion of 0 in a2 4.402 * [taylor]: Taking taylor expansion of 0 in a2 4.404 * * * * [progress]: [ 3 / 3 ] generating series at (2) 4.404 * [approximate]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in (th a1 a2) around 0 4.404 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a2 4.404 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in a2 4.404 * [taylor]: Taking taylor expansion of (cos th) in a2 4.404 * [taylor]: Taking taylor expansion of th in a2 4.404 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 4.404 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 4.404 * [taylor]: Taking taylor expansion of a2 in a2 4.404 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 4.404 * [taylor]: Taking taylor expansion of a1 in a2 4.404 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.404 * [taylor]: Taking taylor expansion of 2.0 in a2 4.405 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in a1 4.405 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in a1 4.405 * [taylor]: Taking taylor expansion of (cos th) in a1 4.405 * [taylor]: Taking taylor expansion of th in a1 4.405 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 4.405 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 4.405 * [taylor]: Taking taylor expansion of a2 in a1 4.405 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 4.405 * [taylor]: Taking taylor expansion of a1 in a1 4.405 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 4.405 * [taylor]: Taking taylor expansion of 2.0 in a1 4.405 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in th 4.405 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in th 4.405 * [taylor]: Taking taylor expansion of (cos th) in th 4.405 * [taylor]: Taking taylor expansion of th in th 4.405 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th 4.405 * [taylor]: Taking taylor expansion of (pow a2 2) in th 4.405 * [taylor]: Taking taylor expansion of a2 in th 4.405 * [taylor]: Taking taylor expansion of (pow a1 2) in th 4.405 * [taylor]: Taking taylor expansion of a1 in th 4.405 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.405 * [taylor]: Taking taylor expansion of 2.0 in th 4.406 * [taylor]: Taking taylor expansion of (/ (* (cos th) (+ (pow a2 2) (pow a1 2))) (sqrt 2.0)) in th 4.406 * [taylor]: Taking taylor expansion of (* (cos th) (+ (pow a2 2) (pow a1 2))) in th 4.406 * [taylor]: Taking taylor expansion of (cos th) in th 4.406 * [taylor]: Taking taylor expansion of th in th 4.406 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th 4.406 * [taylor]: Taking taylor expansion of (pow a2 2) in th 4.406 * [taylor]: Taking taylor expansion of a2 in th 4.406 * [taylor]: Taking taylor expansion of (pow a1 2) in th 4.406 * [taylor]: Taking taylor expansion of a1 in th 4.406 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.406 * [taylor]: Taking taylor expansion of 2.0 in th 4.406 * [taylor]: Taking taylor expansion of (/ (+ (pow a2 2) (pow a1 2)) (sqrt 2.0)) in a1 4.406 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 4.406 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 4.406 * [taylor]: Taking taylor expansion of a2 in a1 4.406 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 4.406 * [taylor]: Taking taylor expansion of a1 in a1 4.406 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 4.406 * [taylor]: Taking taylor expansion of 2.0 in a1 4.406 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 4.407 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 4.407 * [taylor]: Taking taylor expansion of a2 in a2 4.407 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.407 * [taylor]: Taking taylor expansion of 2.0 in a2 4.407 * [taylor]: Taking taylor expansion of 0 in a1 4.407 * [taylor]: Taking taylor expansion of 0 in a2 4.407 * [taylor]: Taking taylor expansion of 0 in a2 4.408 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (/ (pow a1 2) (sqrt 2.0))) (* 1/2 (/ (pow a2 2) (sqrt 2.0))))) in a1 4.408 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (pow a1 2) (sqrt 2.0))) (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a1 4.408 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2.0))) in a1 4.408 * [taylor]: Taking taylor expansion of 1/2 in a1 4.408 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1 4.408 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 4.408 * [taylor]: Taking taylor expansion of a1 in a1 4.408 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 4.408 * [taylor]: Taking taylor expansion of 2.0 in a1 4.408 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a1 4.408 * [taylor]: Taking taylor expansion of 1/2 in a1 4.408 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a1 4.408 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 4.408 * [taylor]: Taking taylor expansion of a2 in a1 4.408 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 4.408 * [taylor]: Taking taylor expansion of 2.0 in a1 4.409 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2 4.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2 4.409 * [taylor]: Taking taylor expansion of 1/2 in a2 4.409 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 4.409 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 4.409 * [taylor]: Taking taylor expansion of a2 in a2 4.409 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.409 * [taylor]: Taking taylor expansion of 2.0 in a2 4.409 * [taylor]: Taking taylor expansion of 0 in a2 4.409 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a2 4.409 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.409 * [taylor]: Taking taylor expansion of 2.0 in a2 4.410 * [taylor]: Taking taylor expansion of 0 in a1 4.410 * [taylor]: Taking taylor expansion of 0 in a2 4.410 * [taylor]: Taking taylor expansion of 0 in a2 4.410 * [taylor]: Taking taylor expansion of 0 in a2 4.411 * [taylor]: Taking taylor expansion of 0 in a2 4.411 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in (th a1 a2) around 0 4.411 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a2 4.411 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a2 4.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 4.411 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 4.411 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 4.411 * [taylor]: Taking taylor expansion of a2 in a2 4.411 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 4.411 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 4.412 * [taylor]: Taking taylor expansion of a1 in a2 4.412 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 4.412 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 4.412 * [taylor]: Taking taylor expansion of th in a2 4.412 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.412 * [taylor]: Taking taylor expansion of 2.0 in a2 4.412 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 4.412 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a1 4.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 4.412 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 4.412 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 4.412 * [taylor]: Taking taylor expansion of a2 in a1 4.412 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 4.412 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 4.412 * [taylor]: Taking taylor expansion of a1 in a1 4.412 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 4.412 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 4.412 * [taylor]: Taking taylor expansion of th in a1 4.412 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 4.412 * [taylor]: Taking taylor expansion of 2.0 in a1 4.413 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in th 4.413 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in th 4.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 4.413 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 4.413 * [taylor]: Taking taylor expansion of (pow a2 2) in th 4.413 * [taylor]: Taking taylor expansion of a2 in th 4.413 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 4.413 * [taylor]: Taking taylor expansion of (pow a1 2) in th 4.413 * [taylor]: Taking taylor expansion of a1 in th 4.413 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.413 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.413 * [taylor]: Taking taylor expansion of th in th 4.413 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.413 * [taylor]: Taking taylor expansion of 2.0 in th 4.413 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in th 4.413 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in th 4.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 4.413 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 4.413 * [taylor]: Taking taylor expansion of (pow a2 2) in th 4.413 * [taylor]: Taking taylor expansion of a2 in th 4.414 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 4.414 * [taylor]: Taking taylor expansion of (pow a1 2) in th 4.414 * [taylor]: Taking taylor expansion of a1 in th 4.414 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.414 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.414 * [taylor]: Taking taylor expansion of th in th 4.414 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.414 * [taylor]: Taking taylor expansion of 2.0 in th 4.414 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) (sqrt 2.0)) in a1 4.414 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ 1 th))) in a1 4.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 4.414 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 4.414 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 4.414 * [taylor]: Taking taylor expansion of a2 in a1 4.414 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 4.414 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 4.414 * [taylor]: Taking taylor expansion of a1 in a1 4.415 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 4.415 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 4.415 * [taylor]: Taking taylor expansion of th in a1 4.415 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 4.415 * [taylor]: Taking taylor expansion of 2.0 in a1 4.415 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a2 4.415 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 4.415 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 4.415 * [taylor]: Taking taylor expansion of th in a2 4.415 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.415 * [taylor]: Taking taylor expansion of 2.0 in a2 4.416 * [taylor]: Taking taylor expansion of 0 in a1 4.416 * [taylor]: Taking taylor expansion of 0 in a2 4.417 * [taylor]: Taking taylor expansion of 0 in a1 4.418 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 4.418 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 4.418 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 4.418 * [taylor]: Taking taylor expansion of th in a2 4.418 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 4.418 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.418 * [taylor]: Taking taylor expansion of 2.0 in a2 4.418 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 4.418 * [taylor]: Taking taylor expansion of a2 in a2 4.419 * [taylor]: Taking taylor expansion of 0 in a1 4.419 * [taylor]: Taking taylor expansion of 0 in a2 4.420 * [taylor]: Taking taylor expansion of 0 in a2 4.422 * [taylor]: Taking taylor expansion of 0 in a1 4.422 * [taylor]: Taking taylor expansion of 0 in a2 4.422 * [taylor]: Taking taylor expansion of 0 in a2 4.423 * [taylor]: Taking taylor expansion of 0 in a2 4.425 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in (th a1 a2) around 0 4.425 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a2 4.425 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a2 4.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 4.425 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 4.425 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 4.425 * [taylor]: Taking taylor expansion of a2 in a2 4.425 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 4.425 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 4.425 * [taylor]: Taking taylor expansion of a1 in a2 4.425 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 4.425 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 4.425 * [taylor]: Taking taylor expansion of -1 in a2 4.425 * [taylor]: Taking taylor expansion of th in a2 4.425 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.425 * [taylor]: Taking taylor expansion of 2.0 in a2 4.426 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 4.426 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a1 4.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 4.426 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 4.426 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 4.426 * [taylor]: Taking taylor expansion of a2 in a1 4.426 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 4.426 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 4.426 * [taylor]: Taking taylor expansion of a1 in a1 4.426 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 4.426 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 4.426 * [taylor]: Taking taylor expansion of -1 in a1 4.426 * [taylor]: Taking taylor expansion of th in a1 4.426 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 4.426 * [taylor]: Taking taylor expansion of 2.0 in a1 4.426 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in th 4.426 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in th 4.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 4.426 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 4.426 * [taylor]: Taking taylor expansion of (pow a2 2) in th 4.426 * [taylor]: Taking taylor expansion of a2 in th 4.426 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 4.426 * [taylor]: Taking taylor expansion of (pow a1 2) in th 4.426 * [taylor]: Taking taylor expansion of a1 in th 4.427 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.427 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.427 * [taylor]: Taking taylor expansion of -1 in th 4.427 * [taylor]: Taking taylor expansion of th in th 4.427 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.427 * [taylor]: Taking taylor expansion of 2.0 in th 4.427 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in th 4.427 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in th 4.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 4.427 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 4.427 * [taylor]: Taking taylor expansion of (pow a2 2) in th 4.427 * [taylor]: Taking taylor expansion of a2 in th 4.427 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 4.427 * [taylor]: Taking taylor expansion of (pow a1 2) in th 4.427 * [taylor]: Taking taylor expansion of a1 in th 4.427 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.427 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.427 * [taylor]: Taking taylor expansion of -1 in th 4.428 * [taylor]: Taking taylor expansion of th in th 4.428 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.428 * [taylor]: Taking taylor expansion of 2.0 in th 4.428 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) (sqrt 2.0)) in a1 4.428 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) (cos (/ -1 th))) in a1 4.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 4.428 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 4.428 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 4.428 * [taylor]: Taking taylor expansion of a2 in a1 4.428 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 4.428 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 4.428 * [taylor]: Taking taylor expansion of a1 in a1 4.428 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 4.428 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 4.428 * [taylor]: Taking taylor expansion of -1 in a1 4.428 * [taylor]: Taking taylor expansion of th in a1 4.428 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 4.428 * [taylor]: Taking taylor expansion of 2.0 in a1 4.429 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a2 4.429 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 4.429 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 4.429 * [taylor]: Taking taylor expansion of -1 in a2 4.429 * [taylor]: Taking taylor expansion of th in a2 4.429 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.429 * [taylor]: Taking taylor expansion of 2.0 in a2 4.430 * [taylor]: Taking taylor expansion of 0 in a1 4.430 * [taylor]: Taking taylor expansion of 0 in a2 4.431 * [taylor]: Taking taylor expansion of 0 in a1 4.432 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 4.432 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 4.432 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 4.432 * [taylor]: Taking taylor expansion of -1 in a2 4.432 * [taylor]: Taking taylor expansion of th in a2 4.432 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 4.432 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.432 * [taylor]: Taking taylor expansion of 2.0 in a2 4.432 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 4.432 * [taylor]: Taking taylor expansion of a2 in a2 4.433 * [taylor]: Taking taylor expansion of 0 in a1 4.433 * [taylor]: Taking taylor expansion of 0 in a2 4.434 * [taylor]: Taking taylor expansion of 0 in a2 4.436 * [taylor]: Taking taylor expansion of 0 in a1 4.436 * [taylor]: Taking taylor expansion of 0 in a2 4.436 * [taylor]: Taking taylor expansion of 0 in a2 4.437 * [taylor]: Taking taylor expansion of 0 in a2 4.439 * * * [progress]: simplifying candidates 4.453 * [simplify]: Simplifying using # : (- (log (cos th)) (log (sqrt (sqrt 2.0)))) (log (/ (cos th) (sqrt (sqrt 2.0)))) (exp (/ (cos th) (sqrt (sqrt 2.0)))) (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (* (* (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (neg (cos th)) (neg (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 1))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt 1))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt 1))) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt 1)) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ 1 1) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th)) (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cos th) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (cos th) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 1))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt 1)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) 1) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (cos th)) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (+ (- (log (cos th)) (log (sqrt (sqrt 2.0)))) (log (+ (* a1 a1) (* a2 a2)))) (+ (log (/ (cos th) (sqrt (sqrt 2.0)))) (log (+ (* a1 a1) (* a2 a2)))) (log (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (exp (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))) (* (* (* (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0)))) (* (* (+ (* a1 a1) (* a2 a2)) (+ (* a1 a1) (* a2 a2))) (+ (* a1 a1) (* a2 a2)))) (* (cbrt (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (cbrt (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))))) (cbrt (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (* (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (sqrt (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (sqrt (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (cos th) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (* (sqrt (sqrt 2.0)) (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))) (* (cos th) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (* (sqrt (sqrt 2.0)) (- (* a1 a1) (* a2 a2))) (* (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (+ (* a1 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(* a2 a2)))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0))))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt (sqrt 2.0))))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt (sqrt 2.0))))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (cbrt 2.0))))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt (sqrt 2.0))))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt (sqrt 2.0))))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt (sqrt 2.0))))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (cbrt 2.0))))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt (sqrt 2.0)))) (* (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt (sqrt 2.0))))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt (sqrt 2.0)))) (* (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt (sqrt 2.0)))) (* (/ 1 (sqrt (sqrt (sqrt 2.0)))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (* (* (cos th) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (/ 1 (sqrt (sqrt 2.0)))) (* (* (cos th) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ 1 (sqrt (sqrt 2.0)))) (* (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (/ 1 (sqrt (sqrt 2.0)))) (* (* (/ (cos th) (sqrt (sqrt 2.0))) (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (/ 1 (sqrt (sqrt 2.0)))) (* (* (cos th) (+ (* a1 a1) (* a2 a2))) (/ 1 (sqrt (sqrt 2.0)))) (* (/ 1 (sqrt (sqrt (sqrt 2.0)))) (* (/ (cos th) (sqrt (sqrt 2.0))) (+ (* a1 a1) (* a2 a2)))) (- (+ (sqrt (/ 1 (sqrt 2.0))) (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2.0)))))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2.0)))))) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (* (sqrt (/ 1 (sqrt 2.0))) (+ (pow a2 2) (pow a1 2))) (* (sqrt (/ 1 (sqrt 2.0))) (+ (* (pow a1 2) (cos th)) (* (cos th) (pow a2 2)))) (* (sqrt (/ 1 (sqrt 2.0))) (+ (* (pow a1 2) (cos th)) (* (cos th) (pow a2 2)))) (+ (/ (pow a1 2) (sqrt 2.0)) (/ (pow a2 2) (sqrt 2.0))) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) (+ (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0))) 4.556 * * * [progress]: adding candidates to table 6.972 * * [progress]: iteration 4 / 4 6.972 * * * [progress]: picking best candidate 7.002 * * * * [pick]: Picked # 7.002 * * * [progress]: localizing error 7.015 * * * [progress]: generating rewritten candidates 7.015 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.020 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 7.023 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 7.028 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 7.043 * * * [progress]: generating series expansions 7.044 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.044 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in (a1 a2) around 0 7.044 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2 7.044 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 7.044 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 7.044 * [taylor]: Taking taylor expansion of a2 in a2 7.044 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 7.044 * [taylor]: Taking taylor expansion of a1 in a2 7.044 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1 7.044 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 7.044 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 7.044 * [taylor]: Taking taylor expansion of a2 in a1 7.044 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 7.044 * [taylor]: Taking taylor expansion of a1 in a1 7.044 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1 7.044 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 7.044 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 7.044 * [taylor]: Taking taylor expansion of a2 in a1 7.045 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 7.045 * [taylor]: Taking taylor expansion of a1 in a1 7.045 * [taylor]: Taking taylor expansion of a2 in a2 7.045 * [taylor]: Taking taylor expansion of 0 in a2 7.045 * [taylor]: Taking taylor expansion of (/ 1/2 a2) in a2 7.045 * [taylor]: Taking taylor expansion of 1/2 in a2 7.045 * [taylor]: Taking taylor expansion of a2 in a2 7.045 * [taylor]: Taking taylor expansion of 0 in a2 7.046 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0 7.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2 7.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 7.046 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 7.046 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 7.046 * [taylor]: Taking taylor expansion of a2 in a2 7.046 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 7.046 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 7.046 * [taylor]: Taking taylor expansion of a1 in a2 7.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 7.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 7.046 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 7.046 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 7.046 * [taylor]: Taking taylor expansion of a2 in a1 7.046 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 7.046 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 7.046 * [taylor]: Taking taylor expansion of a1 in a1 7.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 7.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 7.046 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 7.046 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 7.046 * [taylor]: Taking taylor expansion of a2 in a1 7.046 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 7.046 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 7.046 * [taylor]: Taking taylor expansion of a1 in a1 7.047 * [taylor]: Taking taylor expansion of 1 in a2 7.047 * [taylor]: Taking taylor expansion of 0 in a2 7.047 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2 7.047 * [taylor]: Taking taylor expansion of 1/2 in a2 7.047 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 7.047 * [taylor]: Taking taylor expansion of a2 in a2 7.047 * [taylor]: Taking taylor expansion of 0 in a2 7.048 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0 7.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2 7.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 7.048 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 7.048 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 7.048 * [taylor]: Taking taylor expansion of a2 in a2 7.048 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 7.048 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 7.048 * [taylor]: Taking taylor expansion of a1 in a2 7.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 7.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 7.048 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 7.048 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 7.048 * [taylor]: Taking taylor expansion of a2 in a1 7.048 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 7.048 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 7.048 * [taylor]: Taking taylor expansion of a1 in a1 7.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 7.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 7.048 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 7.048 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 7.048 * [taylor]: Taking taylor expansion of a2 in a1 7.049 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 7.049 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 7.049 * [taylor]: Taking taylor expansion of a1 in a1 7.049 * [taylor]: Taking taylor expansion of 1 in a2 7.049 * [taylor]: Taking taylor expansion of 0 in a2 7.049 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2 7.049 * [taylor]: Taking taylor expansion of 1/2 in a2 7.049 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 7.049 * [taylor]: Taking taylor expansion of a2 in a2 7.049 * [taylor]: Taking taylor expansion of 0 in a2 7.050 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 7.050 * [approximate]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in (a1 a2) around 0 7.050 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2 7.050 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 7.050 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 7.050 * [taylor]: Taking taylor expansion of a2 in a2 7.050 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 7.050 * [taylor]: Taking taylor expansion of a1 in a2 7.050 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1 7.050 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 7.050 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 7.050 * [taylor]: Taking taylor expansion of a2 in a1 7.050 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 7.050 * [taylor]: Taking taylor expansion of a1 in a1 7.050 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1 7.050 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 7.050 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 7.050 * [taylor]: Taking taylor expansion of a2 in a1 7.050 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 7.050 * [taylor]: Taking taylor expansion of a1 in a1 7.051 * [taylor]: Taking taylor expansion of a2 in a2 7.051 * [taylor]: Taking taylor expansion of 0 in a2 7.051 * [taylor]: Taking taylor expansion of (/ 1/2 a2) in a2 7.051 * [taylor]: Taking taylor expansion of 1/2 in a2 7.051 * [taylor]: Taking taylor expansion of a2 in a2 7.051 * [taylor]: Taking taylor expansion of 0 in a2 7.051 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0 7.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2 7.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 7.051 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 7.051 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 7.051 * [taylor]: Taking taylor expansion of a2 in a2 7.051 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 7.051 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 7.052 * [taylor]: Taking taylor expansion of a1 in a2 7.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 7.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 7.052 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 7.052 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 7.052 * [taylor]: Taking taylor expansion of a2 in a1 7.052 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 7.052 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 7.052 * [taylor]: Taking taylor expansion of a1 in a1 7.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 7.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 7.052 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 7.052 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 7.052 * [taylor]: Taking taylor expansion of a2 in a1 7.052 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 7.052 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 7.052 * [taylor]: Taking taylor expansion of a1 in a1 7.052 * [taylor]: Taking taylor expansion of 1 in a2 7.052 * [taylor]: Taking taylor expansion of 0 in a2 7.053 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2 7.053 * [taylor]: Taking taylor expansion of 1/2 in a2 7.053 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 7.053 * [taylor]: Taking taylor expansion of a2 in a2 7.053 * [taylor]: Taking taylor expansion of 0 in a2 7.053 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in (a1 a2) around 0 7.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2 7.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 7.053 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 7.053 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 7.053 * [taylor]: Taking taylor expansion of a2 in a2 7.054 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 7.054 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 7.054 * [taylor]: Taking taylor expansion of a1 in a2 7.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 7.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 7.054 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 7.054 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 7.054 * [taylor]: Taking taylor expansion of a2 in a1 7.054 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 7.054 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 7.054 * [taylor]: Taking taylor expansion of a1 in a1 7.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 7.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 7.054 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 7.054 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 7.054 * [taylor]: Taking taylor expansion of a2 in a1 7.054 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 7.054 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 7.054 * [taylor]: Taking taylor expansion of a1 in a1 7.054 * [taylor]: Taking taylor expansion of 1 in a2 7.054 * [taylor]: Taking taylor expansion of 0 in a2 7.055 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a2 2)) in a2 7.055 * [taylor]: Taking taylor expansion of 1/2 in a2 7.055 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 7.055 * [taylor]: Taking taylor expansion of a2 in a2 7.055 * [taylor]: Taking taylor expansion of 0 in a2 7.055 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 7.055 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 7.055 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 7.055 * [taylor]: Taking taylor expansion of (cos th) in th 7.055 * [taylor]: Taking taylor expansion of th in th 7.055 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.055 * [taylor]: Taking taylor expansion of 2.0 in th 7.056 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 7.056 * [taylor]: Taking taylor expansion of (cos th) in th 7.056 * [taylor]: Taking taylor expansion of th in th 7.056 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.056 * [taylor]: Taking taylor expansion of 2.0 in th 7.057 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 7.057 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 7.057 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 7.057 * [taylor]: Taking taylor expansion of (/ 1 th) in th 7.057 * [taylor]: Taking taylor expansion of th in th 7.057 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.057 * [taylor]: Taking taylor expansion of 2.0 in th 7.057 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 7.057 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 7.057 * [taylor]: Taking taylor expansion of (/ 1 th) in th 7.057 * [taylor]: Taking taylor expansion of th in th 7.057 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.058 * [taylor]: Taking taylor expansion of 2.0 in th 7.059 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 7.059 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 7.059 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 7.059 * [taylor]: Taking taylor expansion of (/ -1 th) in th 7.059 * [taylor]: Taking taylor expansion of -1 in th 7.059 * [taylor]: Taking taylor expansion of th in th 7.059 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.059 * [taylor]: Taking taylor expansion of 2.0 in th 7.059 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 7.059 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 7.059 * [taylor]: Taking taylor expansion of (/ -1 th) in th 7.059 * [taylor]: Taking taylor expansion of -1 in th 7.059 * [taylor]: Taking taylor expansion of th in th 7.059 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.059 * [taylor]: Taking taylor expansion of 2.0 in th 7.061 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 7.061 * [approximate]: Taking taylor expansion of (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (pow a2 2) (pow a1 2)))) in (th a1 a2) around 0 7.061 * [taylor]: Taking taylor expansion of (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (pow a2 2) (pow a1 2)))) in a2 7.061 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in a2 7.061 * [taylor]: Taking taylor expansion of (cos th) in a2 7.061 * [taylor]: Taking taylor expansion of th in a2 7.061 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 7.061 * [taylor]: Taking taylor expansion of 2.0 in a2 7.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a2 7.061 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a2 7.061 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 7.061 * [taylor]: Taking taylor expansion of a2 in a2 7.061 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 7.061 * [taylor]: Taking taylor expansion of a1 in a2 7.061 * [taylor]: Taking taylor expansion of (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (pow a2 2) (pow a1 2)))) in a1 7.062 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in a1 7.062 * [taylor]: Taking taylor expansion of (cos th) in a1 7.062 * [taylor]: Taking taylor expansion of th in a1 7.062 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 7.062 * [taylor]: Taking taylor expansion of 2.0 in a1 7.062 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1 7.062 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 7.062 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 7.062 * [taylor]: Taking taylor expansion of a2 in a1 7.062 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 7.062 * [taylor]: Taking taylor expansion of a1 in a1 7.062 * [taylor]: Taking taylor expansion of (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (pow a2 2) (pow a1 2)))) in th 7.062 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 7.062 * [taylor]: Taking taylor expansion of (cos th) in th 7.062 * [taylor]: Taking taylor expansion of th in th 7.062 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.062 * [taylor]: Taking taylor expansion of 2.0 in th 7.062 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in th 7.062 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th 7.062 * [taylor]: Taking taylor expansion of (pow a2 2) in th 7.062 * [taylor]: Taking taylor expansion of a2 in th 7.062 * [taylor]: Taking taylor expansion of (pow a1 2) in th 7.062 * [taylor]: Taking taylor expansion of a1 in th 7.063 * [taylor]: Taking taylor expansion of (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (pow a2 2) (pow a1 2)))) in th 7.063 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 7.063 * [taylor]: Taking taylor expansion of (cos th) in th 7.063 * [taylor]: Taking taylor expansion of th in th 7.063 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.063 * [taylor]: Taking taylor expansion of 2.0 in th 7.063 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in th 7.063 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in th 7.063 * [taylor]: Taking taylor expansion of (pow a2 2) in th 7.063 * [taylor]: Taking taylor expansion of a2 in th 7.063 * [taylor]: Taking taylor expansion of (pow a1 2) in th 7.063 * [taylor]: Taking taylor expansion of a1 in th 7.063 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (pow a2 2) (pow a1 2)))) in a1 7.064 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1 7.064 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 7.064 * [taylor]: Taking taylor expansion of 2.0 in a1 7.064 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1 7.064 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 7.064 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 7.064 * [taylor]: Taking taylor expansion of a2 in a1 7.064 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 7.064 * [taylor]: Taking taylor expansion of a1 in a1 7.064 * [taylor]: Taking taylor expansion of (/ a2 (sqrt 2.0)) in a2 7.064 * [taylor]: Taking taylor expansion of a2 in a2 7.064 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 7.064 * [taylor]: Taking taylor expansion of 2.0 in a2 7.064 * [taylor]: Taking taylor expansion of 0 in a1 7.064 * [taylor]: Taking taylor expansion of 0 in a2 7.064 * [taylor]: Taking taylor expansion of 0 in a2 7.065 * [taylor]: Taking taylor expansion of (neg (* 1/2 (* (/ 1 (sqrt 2.0)) (sqrt (+ (pow a2 2) (pow a1 2)))))) in a1 7.065 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ 1 (sqrt 2.0)) (sqrt (+ (pow a2 2) (pow a1 2))))) in a1 7.065 * [taylor]: Taking taylor expansion of 1/2 in a1 7.065 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2.0)) (sqrt (+ (pow a2 2) (pow a1 2)))) in a1 7.065 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in a1 7.065 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 7.065 * [taylor]: Taking taylor expansion of 2.0 in a1 7.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow a2 2) (pow a1 2))) in a1 7.065 * [taylor]: Taking taylor expansion of (+ (pow a2 2) (pow a1 2)) in a1 7.065 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 7.065 * [taylor]: Taking taylor expansion of a2 in a1 7.065 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 7.065 * [taylor]: Taking taylor expansion of a1 in a1 7.066 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ a2 (sqrt 2.0)))) in a2 7.066 * [taylor]: Taking taylor expansion of (* 1/2 (/ a2 (sqrt 2.0))) in a2 7.066 * [taylor]: Taking taylor expansion of 1/2 in a2 7.066 * [taylor]: Taking taylor expansion of (/ a2 (sqrt 2.0)) in a2 7.066 * [taylor]: Taking taylor expansion of a2 in a2 7.066 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 7.066 * [taylor]: Taking taylor expansion of 2.0 in a2 7.066 * [taylor]: Taking taylor expansion of 0 in a2 7.066 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (sqrt 2.0) a2))) in a2 7.066 * [taylor]: Taking taylor expansion of 1/2 in a2 7.066 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt 2.0) a2)) in a2 7.066 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) a2) in a2 7.066 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 7.066 * [taylor]: Taking taylor expansion of 2.0 in a2 7.066 * [taylor]: Taking taylor expansion of a2 in a2 7.067 * [taylor]: Taking taylor expansion of 0 in a1 7.067 * [taylor]: Taking taylor expansion of 0 in a2 7.068 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ (cos (/ 1 th)) (sqrt 2.0))) in (th a1 a2) around 0 7.068 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ (cos (/ 1 th)) (sqrt 2.0))) in a2 7.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2 7.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 7.068 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 7.068 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 7.068 * [taylor]: Taking taylor expansion of a2 in a2 7.068 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 7.068 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 7.068 * [taylor]: Taking taylor expansion of a1 in a2 7.068 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a2 7.068 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 7.068 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 7.068 * [taylor]: Taking taylor expansion of th in a2 7.068 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 7.068 * [taylor]: Taking taylor expansion of 2.0 in a2 7.068 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ (cos (/ 1 th)) (sqrt 2.0))) in a1 7.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 7.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 7.068 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 7.068 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 7.068 * [taylor]: Taking taylor expansion of a2 in a1 7.069 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 7.069 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 7.069 * [taylor]: Taking taylor expansion of a1 in a1 7.069 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a1 7.069 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 7.069 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 7.069 * [taylor]: Taking taylor expansion of th in a1 7.069 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 7.069 * [taylor]: Taking taylor expansion of 2.0 in a1 7.069 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ (cos (/ 1 th)) (sqrt 2.0))) in th 7.069 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th 7.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 7.069 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 7.069 * [taylor]: Taking taylor expansion of (pow a2 2) in th 7.069 * [taylor]: Taking taylor expansion of a2 in th 7.069 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 7.069 * [taylor]: Taking taylor expansion of (pow a1 2) in th 7.069 * [taylor]: Taking taylor expansion of a1 in th 7.070 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 7.070 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 7.070 * [taylor]: Taking taylor expansion of (/ 1 th) in th 7.070 * [taylor]: Taking taylor expansion of th in th 7.070 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.070 * [taylor]: Taking taylor expansion of 2.0 in th 7.070 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ (cos (/ 1 th)) (sqrt 2.0))) in th 7.070 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th 7.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 7.070 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 7.070 * [taylor]: Taking taylor expansion of (pow a2 2) in th 7.070 * [taylor]: Taking taylor expansion of a2 in th 7.070 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 7.070 * [taylor]: Taking taylor expansion of (pow a1 2) in th 7.070 * [taylor]: Taking taylor expansion of a1 in th 7.071 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 7.071 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 7.071 * [taylor]: Taking taylor expansion of (/ 1 th) in th 7.071 * [taylor]: Taking taylor expansion of th in th 7.071 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.071 * [taylor]: Taking taylor expansion of 2.0 in th 7.071 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ (cos (/ 1 th)) (sqrt 2.0))) in a1 7.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 7.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 7.072 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 7.072 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 7.072 * [taylor]: Taking taylor expansion of a2 in a1 7.072 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 7.072 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 7.072 * [taylor]: Taking taylor expansion of a1 in a1 7.072 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a1 7.072 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 7.072 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 7.072 * [taylor]: Taking taylor expansion of th in a1 7.072 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 7.072 * [taylor]: Taking taylor expansion of 2.0 in a1 7.072 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in a2 7.072 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 7.072 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 7.072 * [taylor]: Taking taylor expansion of th in a2 7.072 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 7.072 * [taylor]: Taking taylor expansion of 2.0 in a2 7.073 * [taylor]: Taking taylor expansion of 0 in a1 7.073 * [taylor]: Taking taylor expansion of 0 in a2 7.074 * [taylor]: Taking taylor expansion of 0 in a1 7.074 * [taylor]: Taking taylor expansion of 0 in a2 7.075 * [taylor]: Taking taylor expansion of (* 1/2 (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2)))) in a2 7.075 * [taylor]: Taking taylor expansion of 1/2 in a2 7.075 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 7.075 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 7.075 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 7.075 * [taylor]: Taking taylor expansion of th in a2 7.075 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 7.075 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 7.075 * [taylor]: Taking taylor expansion of 2.0 in a2 7.075 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 7.075 * [taylor]: Taking taylor expansion of a2 in a2 7.077 * [taylor]: Taking taylor expansion of 0 in a1 7.077 * [taylor]: Taking taylor expansion of 0 in a2 7.077 * [taylor]: Taking taylor expansion of 0 in a2 7.078 * [taylor]: Taking taylor expansion of 0 in a2 7.079 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ (cos (/ -1 th)) (sqrt 2.0))) in (th a1 a2) around 0 7.079 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ (cos (/ -1 th)) (sqrt 2.0))) in a2 7.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a2 7.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a2 7.079 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a2 7.079 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 7.079 * [taylor]: Taking taylor expansion of a2 in a2 7.079 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a2 7.079 * [taylor]: Taking taylor expansion of (pow a1 2) in a2 7.079 * [taylor]: Taking taylor expansion of a1 in a2 7.079 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a2 7.079 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 7.079 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 7.079 * [taylor]: Taking taylor expansion of -1 in a2 7.079 * [taylor]: Taking taylor expansion of th in a2 7.079 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 7.080 * [taylor]: Taking taylor expansion of 2.0 in a2 7.080 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ (cos (/ -1 th)) (sqrt 2.0))) in a1 7.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 7.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 7.080 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 7.080 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 7.080 * [taylor]: Taking taylor expansion of a2 in a1 7.080 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 7.080 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 7.080 * [taylor]: Taking taylor expansion of a1 in a1 7.080 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a1 7.080 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 7.080 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 7.080 * [taylor]: Taking taylor expansion of -1 in a1 7.080 * [taylor]: Taking taylor expansion of th in a1 7.080 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 7.080 * [taylor]: Taking taylor expansion of 2.0 in a1 7.080 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ (cos (/ -1 th)) (sqrt 2.0))) in th 7.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th 7.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 7.080 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 7.080 * [taylor]: Taking taylor expansion of (pow a2 2) in th 7.080 * [taylor]: Taking taylor expansion of a2 in th 7.081 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 7.081 * [taylor]: Taking taylor expansion of (pow a1 2) in th 7.081 * [taylor]: Taking taylor expansion of a1 in th 7.081 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 7.081 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 7.081 * [taylor]: Taking taylor expansion of (/ -1 th) in th 7.081 * [taylor]: Taking taylor expansion of -1 in th 7.081 * [taylor]: Taking taylor expansion of th in th 7.081 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.081 * [taylor]: Taking taylor expansion of 2.0 in th 7.081 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ (cos (/ -1 th)) (sqrt 2.0))) in th 7.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in th 7.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in th 7.082 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in th 7.082 * [taylor]: Taking taylor expansion of (pow a2 2) in th 7.082 * [taylor]: Taking taylor expansion of a2 in th 7.082 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in th 7.082 * [taylor]: Taking taylor expansion of (pow a1 2) in th 7.082 * [taylor]: Taking taylor expansion of a1 in th 7.082 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 7.082 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 7.082 * [taylor]: Taking taylor expansion of (/ -1 th) in th 7.082 * [taylor]: Taking taylor expansion of -1 in th 7.082 * [taylor]: Taking taylor expansion of th in th 7.083 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.083 * [taylor]: Taking taylor expansion of 2.0 in th 7.083 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) (/ (cos (/ -1 th)) (sqrt 2.0))) in a1 7.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2)))) in a1 7.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow a2 2)) (/ 1 (pow a1 2))) in a1 7.083 * [taylor]: Taking taylor expansion of (/ 1 (pow a2 2)) in a1 7.083 * [taylor]: Taking taylor expansion of (pow a2 2) in a1 7.083 * [taylor]: Taking taylor expansion of a2 in a1 7.083 * [taylor]: Taking taylor expansion of (/ 1 (pow a1 2)) in a1 7.083 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 7.083 * [taylor]: Taking taylor expansion of a1 in a1 7.083 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a1 7.083 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 7.083 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 7.083 * [taylor]: Taking taylor expansion of -1 in a1 7.083 * [taylor]: Taking taylor expansion of th in a1 7.083 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 7.083 * [taylor]: Taking taylor expansion of 2.0 in a1 7.084 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in a2 7.084 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 7.084 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 7.084 * [taylor]: Taking taylor expansion of -1 in a2 7.084 * [taylor]: Taking taylor expansion of th in a2 7.084 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 7.084 * [taylor]: Taking taylor expansion of 2.0 in a2 7.084 * [taylor]: Taking taylor expansion of 0 in a1 7.085 * [taylor]: Taking taylor expansion of 0 in a2 7.085 * [taylor]: Taking taylor expansion of 0 in a1 7.086 * [taylor]: Taking taylor expansion of 0 in a2 7.086 * [taylor]: Taking taylor expansion of (* 1/2 (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2)))) in a2 7.086 * [taylor]: Taking taylor expansion of 1/2 in a2 7.086 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 7.086 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 7.086 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 7.086 * [taylor]: Taking taylor expansion of -1 in a2 7.087 * [taylor]: Taking taylor expansion of th in a2 7.087 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 7.087 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 7.087 * [taylor]: Taking taylor expansion of 2.0 in a2 7.087 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 7.087 * [taylor]: Taking taylor expansion of a2 in a2 7.088 * [taylor]: Taking taylor expansion of 0 in a1 7.089 * [taylor]: Taking taylor expansion of 0 in a2 7.089 * [taylor]: Taking taylor expansion of 0 in a2 7.090 * [taylor]: Taking taylor expansion of 0 in a2 7.090 * * * [progress]: simplifying candidates 7.092 * [simplify]: Simplifying using # : (log (sqrt (+ (* a1 a1) (* a2 a2)))) (exp (sqrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt 1) (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (sqrt (- (* a1 a1) (* a2 a2))) (/ 1 2) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (log (sqrt (+ (* a1 a1) (* a2 a2)))) (exp (sqrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt 1) (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (sqrt (- (* a1 a1) (* a2 a2))) (/ 1 2) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (- (log (cos th)) (log (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (exp (/ (cos th) (sqrt 2.0))) (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt 2.0))) (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (/ (cos th) (sqrt 2.0))) (neg (cos th)) (neg (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (cbrt (sqrt 2.0))) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cos th) (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt 1)) (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 1) (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) (cos th)) (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt 1)) (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) 1) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt 2.0) (cos th)) (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (+ (- (log (cos th)) (log (sqrt 2.0))) (log (sqrt (+ (* a1 a1) (* a2 a2))))) (+ (log (/ (cos th) (sqrt 2.0))) (log (sqrt (+ (* a1 a1) (* a2 a2))))) (log (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))) (exp (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))) (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cbrt (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))) (* (* (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cos th) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))) (* (sqrt 2.0) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (* (cos th) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (* (sqrt 2.0) (sqrt (- (* a1 a1) (* a2 a2)))) (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (cos th) (sqrt 2.0)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (cos th) (sqrt 2.0)) (sqrt (* (cbrt (+ (* a1 a1) (* a2 a2))) (cbrt (+ (* a1 a1) (* a2 a2)))))) (* (/ (cos th) (sqrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (cos th) (sqrt 2.0)) (sqrt 1)) (* (/ (cos th) (sqrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (cos th) (sqrt 2.0)) 1) (* (cbrt (/ (cos th) (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (cbrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt (cbrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ 1 (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))) (* (/ (cos th) (sqrt 2.0)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2)))) a2 a1 (* -1 a1) a2 a1 (* -1 a1) (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (/ a2 (sqrt 2.0)) (/ (* a1 (cos th)) (sqrt 2.0)) (* -1 (/ (* a1 (cos th)) (sqrt 2.0))) 7.098 * * [simplify]: iteration 0 : 352 enodes (cost 1093 ) 7.104 * * [simplify]: iteration 1 : 1256 enodes (cost 1042 ) 7.126 * * [simplify]: iteration 2 : 5001 enodes (cost 1028 ) 7.132 * [simplify]: Simplified to: (log (sqrt (+ (* a1 a1) (* a2 a2)))) (exp (sqrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (pow (sqrt (+ (* a1 a1) (* a2 a2))) 3) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) 1 (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (sqrt (- (* a1 a1) (* a2 a2))) 1/2 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (log (sqrt (+ (* a1 a1) (* a2 a2)))) (exp (sqrt (+ (* a1 a1) (* a2 a2)))) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (pow (sqrt (+ (* a1 a1) (* a2 a2))) 3) (fabs (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (cbrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) 1 (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3))) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2))))) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2)))) (sqrt (- (* a1 a1) (* a2 a2))) 1/2 (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2)))) (log (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (exp (/ (cos th) (sqrt 2.0))) (pow (/ (cos th) (sqrt 2.0)) 3) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt 2.0))) (pow (/ (cos th) (sqrt 2.0)) 3) (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (/ (cos th) (sqrt 2.0))) (neg (cos th)) (neg (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (/ (cbrt (cos th)) (/ (fabs (cbrt 2.0)) (cbrt (cos th)))) (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (fabs (cbrt 2.0))) (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (cbrt (sqrt 2.0))) (/ 1 (* (fabs (cbrt 2.0)) 1)) (/ (cos th) (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) 1 (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) 1 (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) (cos th)) (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (fabs (cbrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (cos th) (/ (cos th) (sqrt (sqrt 2.0))) (cos th) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt 2.0) (cos th)) (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (log (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))) (log (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))) (log (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))) (exp (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))) (pow (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) 3) (pow (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) 3) (* (cbrt (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))) (cbrt (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))))) (cbrt (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))) (pow (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) 3) (sqrt (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))) (sqrt (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2))))) (* (cos th) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))) (* (sqrt 2.0) (sqrt (+ (* (* a1 a1) (* a1 a1)) (- (* (* a2 a2) (* a2 a2)) (* (* a1 a1) (* a2 a2)))))) (* (cos th) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (* (sqrt 2.0) (sqrt (- (* a1 a1) (* a2 a2)))) (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (* (/ (cos th) (sqrt 2.0)) (* (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))) (cbrt (sqrt (+ (* a1 a1) (* a2 a2)))))) (/ (* (cos th) (fabs (cbrt (+ (* a1 a1) (* a2 a2))))) (sqrt 2.0)) (* (/ (cos th) (sqrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cos th) (sqrt 2.0)) (* (/ (cos th) (sqrt 2.0)) (sqrt (sqrt (+ (* a1 a1) (* a2 a2))))) (/ (cos th) (sqrt 2.0)) (* (cbrt (/ (cos th) (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cbrt (cos th)) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (sqrt (cos th)) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (cbrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt (cbrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (* a1 a1) (* a2 a2)))) (/ (sqrt (+ (* a1 a1) (* a2 a2))) (sqrt 2.0)) (* (/ (cos th) (sqrt 2.0)) (sqrt (+ (pow (* a1 a1) 3) (pow (* a2 a2) 3)))) (* (/ (cos th) (sqrt 2.0)) (sqrt (- (* (* a1 a1) (* a1 a1)) (* (* a2 a2) (* a2 a2))))) (* (cos th) (sqrt (+ (* a1 a1) (* a2 a2)))) a2 a1 (* -1 a1) a2 a1 (* -1 a1) (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (/ a2 (sqrt 2.0)) (/ (* a1 (cos th)) (sqrt 2.0)) (* -1 (/ (* a1 (cos th)) (sqrt 2.0))) 7.133 * * * [progress]: adding candidates to table 7.284 * [progress]: [Phase 3 of 3] Extracting. 7.284 * * [regime]: Finding splitpoints for: (# # # # # # # #) 7.287 * * * [regime-changes]: Trying 7 branch expressions: ((* a2 a2) (* a1 a1) (cos th) (/ (cos th) (sqrt 2.0)) th a2 a1) 7.287 * * * * [regimes]: Trying to branch on (* a2 a2) from (# # # # # # # #) 7.356 * * * * [regimes]: Trying to branch on (* a1 a1) from (# # # # # # # #) 7.426 * * * * [regimes]: Trying to branch on (cos th) from (# # # # # # # #) 7.494 * * * * [regimes]: Trying to branch on (/ (cos th) (sqrt 2.0)) from (# # # # # # # #) 7.565 * * * * [regimes]: Trying to branch on (/ (cos th) (sqrt 2.0)) from (# #) 7.607 * * * * [regimes]: Trying to branch on th from (# # # # # # # #) 7.679 * * * * [regimes]: Trying to branch on a2 from (# # # # # # # #) 7.751 * * * * [regimes]: Trying to branch on a1 from (# # # # # # # #) 7.822 * * * [regime]: Found split indices: #