21.738 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.119 * * * [progress]: [2/2] Setting up program. 0.124 * [progress]: [Phase 2 of 3] Improving. 0.124 * [simplify]: Simplifying using # : (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) 0.125 * * [simplify]: iteration 0 : 12 enodes (cost 19 ) 0.126 * * [simplify]: iteration 1 : 25 enodes (cost 13 ) 0.129 * * [simplify]: iteration 2 : 45 enodes (cost 13 ) 0.135 * * [simplify]: iteration 3 : 65 enodes (cost 13 ) 0.147 * * [simplify]: iteration 4 : 84 enodes (cost 13 ) 0.158 * * [simplify]: iteration 5 : 102 enodes (cost 13 ) 0.170 * * [simplify]: iteration 6 : 115 enodes (cost 13 ) 0.183 * * [simplify]: iteration done : 115 enodes (cost 13 ) 0.183 * [simplify]: Simplified to: (* (/ (cos th) (sqrt 2.0)) (+ (* a1 a1) (* a2 a2))) 0.188 * * [progress]: iteration 1 / 4 0.188 * * * [progress]: picking best candidate 0.192 * * * * [pick]: Picked # 0.195 * * * [progress]: localizing error 0.207 * * * [progress]: generating rewritten candidates 0.207 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.212 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.217 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.228 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.245 * * * [progress]: generating series expansions 0.245 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.245 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 0.245 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 0.245 * [taylor]: Taking taylor expansion of (cos th) in th 0.245 * [taylor]: Taking taylor expansion of th in th 0.245 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.245 * [taylor]: Taking taylor expansion of 2.0 in th 0.245 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 0.245 * [taylor]: Taking taylor expansion of (cos th) in th 0.245 * [taylor]: Taking taylor expansion of th in th 0.245 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.245 * [taylor]: Taking taylor expansion of 2.0 in th 0.247 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 0.247 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 0.247 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.247 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.248 * [taylor]: Taking taylor expansion of th in th 0.248 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.248 * [taylor]: Taking taylor expansion of 2.0 in th 0.248 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 0.248 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.248 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.248 * [taylor]: Taking taylor expansion of th in th 0.248 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.248 * [taylor]: Taking taylor expansion of 2.0 in th 0.249 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 0.249 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 0.249 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.249 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.249 * [taylor]: Taking taylor expansion of -1 in th 0.250 * [taylor]: Taking taylor expansion of th in th 0.250 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.250 * [taylor]: Taking taylor expansion of 2.0 in th 0.250 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 0.250 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.250 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.250 * [taylor]: Taking taylor expansion of -1 in th 0.250 * [taylor]: Taking taylor expansion of th in th 0.250 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.250 * [taylor]: Taking taylor expansion of 2.0 in th 0.251 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.251 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 0.251 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 0.252 * [taylor]: Taking taylor expansion of (cos th) in th 0.252 * [taylor]: Taking taylor expansion of th in th 0.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.252 * [taylor]: Taking taylor expansion of 2.0 in th 0.252 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 0.252 * [taylor]: Taking taylor expansion of (cos th) in th 0.252 * [taylor]: Taking taylor expansion of th in th 0.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.252 * [taylor]: Taking taylor expansion of 2.0 in th 0.253 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 0.253 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 0.253 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.253 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.253 * [taylor]: Taking taylor expansion of th in th 0.254 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.254 * [taylor]: Taking taylor expansion of 2.0 in th 0.254 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 0.254 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.254 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.254 * [taylor]: Taking taylor expansion of th in th 0.254 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.254 * [taylor]: Taking taylor expansion of 2.0 in th 0.255 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 0.255 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 0.255 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.255 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.255 * [taylor]: Taking taylor expansion of -1 in th 0.255 * [taylor]: Taking taylor expansion of th in th 0.255 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.255 * [taylor]: Taking taylor expansion of 2.0 in th 0.256 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 0.256 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.256 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.256 * [taylor]: Taking taylor expansion of -1 in th 0.256 * [taylor]: Taking taylor expansion of th in th 0.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.256 * [taylor]: Taking taylor expansion of 2.0 in th 0.257 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.257 * [approximate]: Taking taylor expansion of (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) in (th a2) around 0 0.257 * [taylor]: Taking taylor expansion of (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) in a2 0.257 * [taylor]: Taking taylor expansion of (* (pow a2 2) (cos th)) in a2 0.257 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.257 * [taylor]: Taking taylor expansion of a2 in a2 0.257 * [taylor]: Taking taylor expansion of (cos th) in a2 0.257 * [taylor]: Taking taylor expansion of th in a2 0.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.258 * [taylor]: Taking taylor expansion of 2.0 in a2 0.258 * [taylor]: Taking taylor expansion of (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) in th 0.258 * [taylor]: Taking taylor expansion of (* (pow a2 2) (cos th)) in th 0.258 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.258 * [taylor]: Taking taylor expansion of a2 in th 0.258 * [taylor]: Taking taylor expansion of (cos th) in th 0.258 * [taylor]: Taking taylor expansion of th in th 0.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.258 * [taylor]: Taking taylor expansion of 2.0 in th 0.258 * [taylor]: Taking taylor expansion of (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) in th 0.258 * [taylor]: Taking taylor expansion of (* (pow a2 2) (cos th)) in th 0.258 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.258 * [taylor]: Taking taylor expansion of a2 in th 0.258 * [taylor]: Taking taylor expansion of (cos th) in th 0.258 * [taylor]: Taking taylor expansion of th in th 0.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.258 * [taylor]: Taking taylor expansion of 2.0 in th 0.259 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 0.259 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.259 * [taylor]: Taking taylor expansion of a2 in a2 0.259 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.259 * [taylor]: Taking taylor expansion of 2.0 in a2 0.259 * [taylor]: Taking taylor expansion of 0 in a2 0.260 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2 0.260 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2 0.260 * [taylor]: Taking taylor expansion of 1/2 in a2 0.260 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 0.260 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.260 * [taylor]: Taking taylor expansion of a2 in a2 0.260 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.260 * [taylor]: Taking taylor expansion of 2.0 in a2 0.261 * [taylor]: Taking taylor expansion of 0 in a2 0.262 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2.0))) in (th a2) around 0 0.262 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2.0))) in a2 0.262 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 0.262 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 0.262 * [taylor]: Taking taylor expansion of th in a2 0.262 * [taylor]: Taking taylor expansion of (* (pow a2 2) (sqrt 2.0)) in a2 0.262 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.262 * [taylor]: Taking taylor expansion of a2 in a2 0.262 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.262 * [taylor]: Taking taylor expansion of 2.0 in a2 0.262 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2.0))) in th 0.262 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.262 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.262 * [taylor]: Taking taylor expansion of th in th 0.262 * [taylor]: Taking taylor expansion of (* (pow a2 2) (sqrt 2.0)) in th 0.262 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.262 * [taylor]: Taking taylor expansion of a2 in th 0.262 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.262 * [taylor]: Taking taylor expansion of 2.0 in th 0.262 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2.0))) in th 0.262 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.262 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.263 * [taylor]: Taking taylor expansion of th in th 0.263 * [taylor]: Taking taylor expansion of (* (pow a2 2) (sqrt 2.0)) in th 0.263 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.263 * [taylor]: Taking taylor expansion of a2 in th 0.263 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.263 * [taylor]: Taking taylor expansion of 2.0 in th 0.263 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 0.263 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 0.263 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 0.263 * [taylor]: Taking taylor expansion of th in a2 0.263 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 0.263 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.263 * [taylor]: Taking taylor expansion of 2.0 in a2 0.263 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.263 * [taylor]: Taking taylor expansion of a2 in a2 0.264 * [taylor]: Taking taylor expansion of 0 in a2 0.265 * [taylor]: Taking taylor expansion of 0 in a2 0.266 * [taylor]: Taking taylor expansion of 0 in a2 0.268 * [taylor]: Taking taylor expansion of 0 in a2 0.268 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2.0))) in (th a2) around 0 0.268 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2.0))) in a2 0.268 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 0.268 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 0.268 * [taylor]: Taking taylor expansion of -1 in a2 0.268 * [taylor]: Taking taylor expansion of th in a2 0.268 * [taylor]: Taking taylor expansion of (* (pow a2 2) (sqrt 2.0)) in a2 0.268 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.268 * [taylor]: Taking taylor expansion of a2 in a2 0.268 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.268 * [taylor]: Taking taylor expansion of 2.0 in a2 0.269 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2.0))) in th 0.269 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.269 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.269 * [taylor]: Taking taylor expansion of -1 in th 0.269 * [taylor]: Taking taylor expansion of th in th 0.269 * [taylor]: Taking taylor expansion of (* (pow a2 2) (sqrt 2.0)) in th 0.269 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.269 * [taylor]: Taking taylor expansion of a2 in th 0.269 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.269 * [taylor]: Taking taylor expansion of 2.0 in th 0.269 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2.0))) in th 0.269 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.269 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.269 * [taylor]: Taking taylor expansion of -1 in th 0.269 * [taylor]: Taking taylor expansion of th in th 0.269 * [taylor]: Taking taylor expansion of (* (pow a2 2) (sqrt 2.0)) in th 0.269 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.269 * [taylor]: Taking taylor expansion of a2 in th 0.269 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.269 * [taylor]: Taking taylor expansion of 2.0 in th 0.269 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 0.269 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 0.270 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 0.270 * [taylor]: Taking taylor expansion of -1 in a2 0.270 * [taylor]: Taking taylor expansion of th in a2 0.270 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 0.270 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.270 * [taylor]: Taking taylor expansion of 2.0 in a2 0.270 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.270 * [taylor]: Taking taylor expansion of a2 in a2 0.270 * [taylor]: Taking taylor expansion of 0 in a2 0.271 * [taylor]: Taking taylor expansion of 0 in a2 0.273 * [taylor]: Taking taylor expansion of 0 in a2 0.274 * [taylor]: Taking taylor expansion of 0 in a2 0.274 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.275 * [approximate]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in (th a1) around 0 0.275 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in a1 0.275 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1 0.275 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.275 * [taylor]: Taking taylor expansion of a1 in a1 0.275 * [taylor]: Taking taylor expansion of (cos th) in a1 0.275 * [taylor]: Taking taylor expansion of th in a1 0.275 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.275 * [taylor]: Taking taylor expansion of 2.0 in a1 0.275 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th 0.275 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th 0.275 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.275 * [taylor]: Taking taylor expansion of a1 in th 0.275 * [taylor]: Taking taylor expansion of (cos th) in th 0.275 * [taylor]: Taking taylor expansion of th in th 0.275 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.275 * [taylor]: Taking taylor expansion of 2.0 in th 0.275 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th 0.275 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th 0.275 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.275 * [taylor]: Taking taylor expansion of a1 in th 0.275 * [taylor]: Taking taylor expansion of (cos th) in th 0.275 * [taylor]: Taking taylor expansion of th in th 0.275 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.275 * [taylor]: Taking taylor expansion of 2.0 in th 0.276 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1 0.276 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.276 * [taylor]: Taking taylor expansion of a1 in a1 0.276 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.276 * [taylor]: Taking taylor expansion of 2.0 in a1 0.276 * [taylor]: Taking taylor expansion of 0 in a1 0.277 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ (pow a1 2) (sqrt 2.0)))) in a1 0.277 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2.0))) in a1 0.277 * [taylor]: Taking taylor expansion of 1/2 in a1 0.277 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1 0.277 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.277 * [taylor]: Taking taylor expansion of a1 in a1 0.277 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.277 * [taylor]: Taking taylor expansion of 2.0 in a1 0.278 * [taylor]: Taking taylor expansion of 0 in a1 0.279 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in (th a1) around 0 0.279 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 0.279 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 0.279 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 0.279 * [taylor]: Taking taylor expansion of th in a1 0.279 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 0.279 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.279 * [taylor]: Taking taylor expansion of a1 in a1 0.279 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.279 * [taylor]: Taking taylor expansion of 2.0 in a1 0.279 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in th 0.279 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.279 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.279 * [taylor]: Taking taylor expansion of th in th 0.279 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 0.279 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.279 * [taylor]: Taking taylor expansion of a1 in th 0.279 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.279 * [taylor]: Taking taylor expansion of 2.0 in th 0.279 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in th 0.279 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.280 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.280 * [taylor]: Taking taylor expansion of th in th 0.280 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 0.280 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.280 * [taylor]: Taking taylor expansion of a1 in th 0.280 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.280 * [taylor]: Taking taylor expansion of 2.0 in th 0.280 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 0.280 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 0.280 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 0.280 * [taylor]: Taking taylor expansion of th in a1 0.280 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 0.280 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.280 * [taylor]: Taking taylor expansion of a1 in a1 0.280 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.280 * [taylor]: Taking taylor expansion of 2.0 in a1 0.281 * [taylor]: Taking taylor expansion of 0 in a1 0.282 * [taylor]: Taking taylor expansion of 0 in a1 0.283 * [taylor]: Taking taylor expansion of 0 in a1 0.284 * [taylor]: Taking taylor expansion of 0 in a1 0.285 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in (th a1) around 0 0.285 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 0.285 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 0.285 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 0.285 * [taylor]: Taking taylor expansion of -1 in a1 0.285 * [taylor]: Taking taylor expansion of th in a1 0.285 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 0.285 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.285 * [taylor]: Taking taylor expansion of a1 in a1 0.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.285 * [taylor]: Taking taylor expansion of 2.0 in a1 0.285 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in th 0.285 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.285 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.285 * [taylor]: Taking taylor expansion of -1 in th 0.285 * [taylor]: Taking taylor expansion of th in th 0.285 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 0.285 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.285 * [taylor]: Taking taylor expansion of a1 in th 0.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.285 * [taylor]: Taking taylor expansion of 2.0 in th 0.286 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in th 0.286 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.286 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.286 * [taylor]: Taking taylor expansion of -1 in th 0.286 * [taylor]: Taking taylor expansion of th in th 0.286 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 0.286 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.286 * [taylor]: Taking taylor expansion of a1 in th 0.286 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.286 * [taylor]: Taking taylor expansion of 2.0 in th 0.286 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 0.286 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 0.286 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 0.286 * [taylor]: Taking taylor expansion of -1 in a1 0.286 * [taylor]: Taking taylor expansion of th in a1 0.286 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 0.286 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.286 * [taylor]: Taking taylor expansion of a1 in a1 0.286 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.286 * [taylor]: Taking taylor expansion of 2.0 in a1 0.291 * [taylor]: Taking taylor expansion of 0 in a1 0.292 * [taylor]: Taking taylor expansion of 0 in a1 0.293 * [taylor]: Taking taylor expansion of 0 in a1 0.294 * [taylor]: Taking taylor expansion of 0 in a1 0.295 * * * [progress]: simplifying candidates 0.297 * [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)) (- (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)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (+ (- (log (cos th)) (log (sqrt 2.0))) (+ (log a2) (log a2))) (+ (- (log (cos th)) (log (sqrt 2.0))) (log (* a2 a2))) (+ (log (/ (cos th) (sqrt 2.0))) (+ (log a2) (log a2))) (+ (log (/ (cos th) (sqrt 2.0))) (log (* a2 a2))) (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (exp (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a2 a2) a2) (* (* a2 a2) a2))) (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a2 a2) a2) (* (* a2 a2) a2))) (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (* (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (sqrt (/ (cos th) (sqrt 2.0))) a2) (* (sqrt (/ (cos th) (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (cos th) (sqrt 2.0)) a2) (* (cbrt (/ (cos th) (sqrt 2.0))) (* a2 a2)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ 1 (sqrt 2.0)) (* a2 a2)) (* (cos th) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (+ (- (log (cos th)) (log (sqrt 2.0))) (+ (log a1) (log a1))) (+ (- (log (cos th)) (log (sqrt 2.0))) (log (* a1 a1))) (+ (log (/ (cos th) (sqrt 2.0))) (+ (log a1) (log a1))) (+ (log (/ (cos th) (sqrt 2.0))) (log (* a1 a1))) (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (exp (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a1 a1) a1) (* (* a1 a1) a1))) (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a1 a1) a1) (* (* a1 a1) a1))) (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (* (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (sqrt (/ (cos th) (sqrt 2.0))) a1) (* (sqrt (/ (cos th) (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (cos th) (sqrt 2.0)) a1) (* (cbrt (/ (cos th) (sqrt 2.0))) (* a1 a1)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt (cbrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ 1 (sqrt 2.0)) (* a1 a1)) (* (cos th) (* a1 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)) (- (+ (/ 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 a2 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2.0)))) (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) (- (/ (pow a1 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2.0)))) (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) 0.303 * * [simplify]: iteration 0 : 181 enodes (cost 2118 ) 0.331 * * [simplify]: iteration 1 : 500 enodes (cost 2042 ) 0.430 * * [simplify]: iteration 2 : 1874 enodes (cost 1850 ) 0.881 * * [simplify]: iteration done : 5000 enodes (cost 1812 ) 0.882 * [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)) (cbrt (cos th))) (fabs (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))) (/ (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))) (/ (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)) (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)) (cbrt (cos th))) (fabs (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))) (/ (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))) (/ (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)) (* (* a2 a2) (/ (cos th) (sqrt 2.0))) (* (* a2 a2) (/ (cos th) (sqrt 2.0))) (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (exp (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (pow (* (* a2 a2) (/ (cos th) (sqrt 2.0))) 3) (pow (* (* a2 a2) (/ (cos th) (sqrt 2.0))) 3) (pow (* (* a2 a2) (/ (cos th) (sqrt 2.0))) 3) (pow (* (* a2 a2) (/ (cos th) (sqrt 2.0))) 3) (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (pow (* (* a2 a2) (/ (cos th) (sqrt 2.0))) 3) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (sqrt (/ (cos th) (sqrt 2.0))) a2) (* (sqrt (/ (cos th) (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (cos th) (sqrt 2.0)) a2) (* (cbrt (/ (cos th) (sqrt 2.0))) (* a2 a2)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (* (* a2 a2) (/ (cos th) (sqrt 2.0))) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (* (* a2 a2) (/ (cos th) (sqrt 2.0))) (* (* a2 a2) (/ (cos th) (sqrt 2.0))) (/ (pow a2 2) (sqrt 2.0)) (* (cos th) (* a2 a2)) (* (* a1 a1) (/ (cos th) (sqrt 2.0))) (* (* a1 a1) (/ (cos th) (sqrt 2.0))) (log (* (* a1 a1) (/ (cos th) (sqrt 2.0)))) (log (* (* a1 a1) (/ (cos th) (sqrt 2.0)))) (log (* (* a1 a1) (/ (cos th) (sqrt 2.0)))) (log (* (* a1 a1) (/ (cos th) (sqrt 2.0)))) (log (* (* a1 a1) (/ (cos th) (sqrt 2.0)))) (exp (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3) (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3) (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3) (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3) (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* a1 (sqrt (/ (cos th) (sqrt 2.0)))) (* a1 (sqrt (/ (cos th) (sqrt 2.0)))) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* a1 (/ (cos th) (sqrt 2.0))) (* (cbrt (/ (cos th) (sqrt 2.0))) (* a1 a1)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt (cbrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1)) (* (* a1 a1) (/ (cos th) (sqrt 2.0))) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1)) (* (* a1 a1) (/ (cos th) (sqrt 2.0))) (* (* a1 a1) (/ (cos th) (sqrt 2.0))) (/ (pow a1 2) (sqrt 2.0)) (* (pow a1 2) (cos th)) (- (+ (/ 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)) (- (+ (/ 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 a2 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2.0)))) (* (* a2 a2) (/ (cos th) (sqrt 2.0))) (* (* a2 a2) (/ (cos th) (sqrt 2.0))) (- (/ (pow a1 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2.0)))) (* (* a1 a1) (/ (cos th) (sqrt 2.0))) (* (* a1 a1) (/ (cos th) (sqrt 2.0))) 0.883 * * * [progress]: adding candidates to table 1.212 * * [progress]: iteration 2 / 4 1.212 * * * [progress]: picking best candidate 1.257 * * * * [pick]: Picked # 1.257 * * * [progress]: localizing error 1.275 * * * [progress]: generating rewritten candidates 1.275 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.281 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.287 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.305 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.427 * * * [progress]: generating series expansions 1.427 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.427 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 1.427 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 1.427 * [taylor]: Taking taylor expansion of (cos th) in th 1.427 * [taylor]: Taking taylor expansion of th in th 1.427 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.427 * [taylor]: Taking taylor expansion of 2.0 in th 1.427 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 1.427 * [taylor]: Taking taylor expansion of (cos th) in th 1.427 * [taylor]: Taking taylor expansion of th in th 1.427 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.427 * [taylor]: Taking taylor expansion of 2.0 in th 1.429 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 1.429 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 1.429 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.429 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.429 * [taylor]: Taking taylor expansion of th in th 1.429 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.429 * [taylor]: Taking taylor expansion of 2.0 in th 1.429 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 1.429 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.429 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.429 * [taylor]: Taking taylor expansion of th in th 1.429 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.429 * [taylor]: Taking taylor expansion of 2.0 in th 1.431 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 1.431 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 1.431 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.431 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.431 * [taylor]: Taking taylor expansion of -1 in th 1.431 * [taylor]: Taking taylor expansion of th in th 1.431 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.431 * [taylor]: Taking taylor expansion of 2.0 in th 1.431 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 1.431 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.432 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.432 * [taylor]: Taking taylor expansion of -1 in th 1.432 * [taylor]: Taking taylor expansion of th in th 1.432 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.432 * [taylor]: Taking taylor expansion of 2.0 in th 1.433 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.433 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0 1.433 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 1.433 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 1.433 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 1.433 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.433 * [taylor]: Taking taylor expansion of 2.0 in th 1.434 * [taylor]: Taking taylor expansion of (cos th) in th 1.434 * [taylor]: Taking taylor expansion of th in th 1.434 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 1.434 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 1.434 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 1.434 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.434 * [taylor]: Taking taylor expansion of 2.0 in th 1.434 * [taylor]: Taking taylor expansion of (cos th) in th 1.434 * [taylor]: Taking taylor expansion of th in th 1.436 * [approximate]: Taking taylor expansion of (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2.0)))) in (th) around 0 1.436 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2.0)))) in th 1.436 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.436 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.436 * [taylor]: Taking taylor expansion of th in th 1.436 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 1.436 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 1.436 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.436 * [taylor]: Taking taylor expansion of 2.0 in th 1.436 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2.0)))) in th 1.436 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.436 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.436 * [taylor]: Taking taylor expansion of th in th 1.436 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 1.437 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 1.437 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.437 * [taylor]: Taking taylor expansion of 2.0 in th 1.439 * [approximate]: Taking taylor expansion of (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2.0)))) in (th) around 0 1.439 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2.0)))) in th 1.439 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.439 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.439 * [taylor]: Taking taylor expansion of -1 in th 1.439 * [taylor]: Taking taylor expansion of th in th 1.439 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 1.439 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 1.439 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.439 * [taylor]: Taking taylor expansion of 2.0 in th 1.439 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2.0)))) in th 1.440 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.440 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.440 * [taylor]: Taking taylor expansion of -1 in th 1.440 * [taylor]: Taking taylor expansion of th in th 1.440 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 1.440 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 1.440 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.440 * [taylor]: Taking taylor expansion of 2.0 in th 1.442 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.442 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 1.442 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 1.442 * [taylor]: Taking taylor expansion of (cos th) in th 1.442 * [taylor]: Taking taylor expansion of th in th 1.442 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.442 * [taylor]: Taking taylor expansion of 2.0 in th 1.443 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 1.443 * [taylor]: Taking taylor expansion of (cos th) in th 1.443 * [taylor]: Taking taylor expansion of th in th 1.443 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.443 * [taylor]: Taking taylor expansion of 2.0 in th 1.444 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 1.444 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 1.444 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.444 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.444 * [taylor]: Taking taylor expansion of th in th 1.444 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.445 * [taylor]: Taking taylor expansion of 2.0 in th 1.445 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 1.445 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.445 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.445 * [taylor]: Taking taylor expansion of th in th 1.445 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.445 * [taylor]: Taking taylor expansion of 2.0 in th 1.446 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 1.446 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 1.446 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.446 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.446 * [taylor]: Taking taylor expansion of -1 in th 1.446 * [taylor]: Taking taylor expansion of th in th 1.446 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.446 * [taylor]: Taking taylor expansion of 2.0 in th 1.447 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 1.447 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.447 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.447 * [taylor]: Taking taylor expansion of -1 in th 1.447 * [taylor]: Taking taylor expansion of th in th 1.447 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.447 * [taylor]: Taking taylor expansion of 2.0 in th 1.448 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.448 * [approximate]: Taking taylor expansion of (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) in (th a2) around 0 1.448 * [taylor]: Taking taylor expansion of (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) in a2 1.448 * [taylor]: Taking taylor expansion of (* (pow a2 2) (cos th)) in a2 1.448 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 1.448 * [taylor]: Taking taylor expansion of a2 in a2 1.448 * [taylor]: Taking taylor expansion of (cos th) in a2 1.449 * [taylor]: Taking taylor expansion of th in a2 1.449 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 1.449 * [taylor]: Taking taylor expansion of 2.0 in a2 1.449 * [taylor]: Taking taylor expansion of (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) in th 1.449 * [taylor]: Taking taylor expansion of (* (pow a2 2) (cos th)) in th 1.449 * [taylor]: Taking taylor expansion of (pow a2 2) in th 1.449 * [taylor]: Taking taylor expansion of a2 in th 1.449 * [taylor]: Taking taylor expansion of (cos th) in th 1.449 * [taylor]: Taking taylor expansion of th in th 1.449 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.449 * [taylor]: Taking taylor expansion of 2.0 in th 1.449 * [taylor]: Taking taylor expansion of (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) in th 1.449 * [taylor]: Taking taylor expansion of (* (pow a2 2) (cos th)) in th 1.449 * [taylor]: Taking taylor expansion of (pow a2 2) in th 1.449 * [taylor]: Taking taylor expansion of a2 in th 1.449 * [taylor]: Taking taylor expansion of (cos th) in th 1.449 * [taylor]: Taking taylor expansion of th in th 1.449 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.449 * [taylor]: Taking taylor expansion of 2.0 in th 1.449 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 1.449 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 1.449 * [taylor]: Taking taylor expansion of a2 in a2 1.449 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 1.450 * [taylor]: Taking taylor expansion of 2.0 in a2 1.450 * [taylor]: Taking taylor expansion of 0 in a2 1.451 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2 1.451 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2 1.451 * [taylor]: Taking taylor expansion of 1/2 in a2 1.451 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 1.451 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 1.451 * [taylor]: Taking taylor expansion of a2 in a2 1.451 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 1.451 * [taylor]: Taking taylor expansion of 2.0 in a2 1.452 * [taylor]: Taking taylor expansion of 0 in a2 1.453 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2.0))) in (th a2) around 0 1.453 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2.0))) in a2 1.453 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 1.453 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 1.453 * [taylor]: Taking taylor expansion of th in a2 1.453 * [taylor]: Taking taylor expansion of (* (pow a2 2) (sqrt 2.0)) in a2 1.453 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 1.453 * [taylor]: Taking taylor expansion of a2 in a2 1.453 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 1.453 * [taylor]: Taking taylor expansion of 2.0 in a2 1.453 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2.0))) in th 1.453 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.453 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.453 * [taylor]: Taking taylor expansion of th in th 1.453 * [taylor]: Taking taylor expansion of (* (pow a2 2) (sqrt 2.0)) in th 1.453 * [taylor]: Taking taylor expansion of (pow a2 2) in th 1.453 * [taylor]: Taking taylor expansion of a2 in th 1.453 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.453 * [taylor]: Taking taylor expansion of 2.0 in th 1.454 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2.0))) in th 1.454 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.454 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.454 * [taylor]: Taking taylor expansion of th in th 1.454 * [taylor]: Taking taylor expansion of (* (pow a2 2) (sqrt 2.0)) in th 1.454 * [taylor]: Taking taylor expansion of (pow a2 2) in th 1.454 * [taylor]: Taking taylor expansion of a2 in th 1.454 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.454 * [taylor]: Taking taylor expansion of 2.0 in th 1.454 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 1.454 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 1.454 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 1.454 * [taylor]: Taking taylor expansion of th in a2 1.455 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 1.455 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 1.455 * [taylor]: Taking taylor expansion of 2.0 in a2 1.455 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 1.455 * [taylor]: Taking taylor expansion of a2 in a2 1.455 * [taylor]: Taking taylor expansion of 0 in a2 1.456 * [taylor]: Taking taylor expansion of 0 in a2 1.457 * [taylor]: Taking taylor expansion of 0 in a2 1.459 * [taylor]: Taking taylor expansion of 0 in a2 1.459 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2.0))) in (th a2) around 0 1.459 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2.0))) in a2 1.459 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 1.459 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 1.459 * [taylor]: Taking taylor expansion of -1 in a2 1.459 * [taylor]: Taking taylor expansion of th in a2 1.459 * [taylor]: Taking taylor expansion of (* (pow a2 2) (sqrt 2.0)) in a2 1.459 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 1.459 * [taylor]: Taking taylor expansion of a2 in a2 1.460 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 1.460 * [taylor]: Taking taylor expansion of 2.0 in a2 1.460 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2.0))) in th 1.460 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.460 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.460 * [taylor]: Taking taylor expansion of -1 in th 1.460 * [taylor]: Taking taylor expansion of th in th 1.460 * [taylor]: Taking taylor expansion of (* (pow a2 2) (sqrt 2.0)) in th 1.460 * [taylor]: Taking taylor expansion of (pow a2 2) in th 1.460 * [taylor]: Taking taylor expansion of a2 in th 1.460 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.460 * [taylor]: Taking taylor expansion of 2.0 in th 1.460 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2.0))) in th 1.460 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.460 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.460 * [taylor]: Taking taylor expansion of -1 in th 1.460 * [taylor]: Taking taylor expansion of th in th 1.460 * [taylor]: Taking taylor expansion of (* (pow a2 2) (sqrt 2.0)) in th 1.460 * [taylor]: Taking taylor expansion of (pow a2 2) in th 1.460 * [taylor]: Taking taylor expansion of a2 in th 1.460 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.460 * [taylor]: Taking taylor expansion of 2.0 in th 1.461 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 1.461 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 1.461 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 1.461 * [taylor]: Taking taylor expansion of -1 in a2 1.461 * [taylor]: Taking taylor expansion of th in a2 1.461 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 1.461 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 1.461 * [taylor]: Taking taylor expansion of 2.0 in a2 1.461 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 1.461 * [taylor]: Taking taylor expansion of a2 in a2 1.462 * [taylor]: Taking taylor expansion of 0 in a2 1.462 * [taylor]: Taking taylor expansion of 0 in a2 1.464 * [taylor]: Taking taylor expansion of 0 in a2 1.465 * [taylor]: Taking taylor expansion of 0 in a2 1.465 * * * [progress]: simplifying candidates 1.479 * [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)) (- (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 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a2)) (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) (* (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos 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(sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (* a2 a2)) (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) (/ (/ (* a2 a2) (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (/ (* a2 a2) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (/ (* a2 a2) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (cbrt 2.0))))) (/ (/ (* a2 a2) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (/ (* a2 a2) (sqrt 2.0)) (/ (/ (* a2 a2) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (/ (* a2 a2) (sqrt 2.0)) (/ (/ (* a2 a2) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (/ (* a2 a2) (sqrt 2.0)) (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) (/ (* a2 a2) (sqrt (sqrt 2.0))) (* (/ (cos th) (sqrt (sqrt 2.0))) (* 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)) (* 1/2 (pow th 2)))) (sqrt (/ 1 (sqrt 2.0)))) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (- (+ (/ 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 a2 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2.0)))) (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) 1.922 * * * [progress]: adding candidates to table 3.702 * * [progress]: iteration 3 / 4 3.702 * * * [progress]: picking best candidate 3.747 * * * * [pick]: Picked # 3.748 * * * [progress]: localizing error 3.773 * * * [progress]: generating rewritten candidates 3.773 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2 1 1) 3.775 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2) 3.776 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1) 3.778 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 3.785 * * * [progress]: generating series expansions 3.785 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2 1 1) 3.785 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2) 3.785 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1) 3.785 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.785 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 3.785 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 3.785 * [taylor]: Taking taylor expansion of (cos th) in th 3.785 * [taylor]: Taking taylor expansion of th in th 3.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.785 * [taylor]: Taking taylor expansion of 2.0 in th 3.785 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 3.785 * [taylor]: Taking taylor expansion of (cos th) in th 3.785 * [taylor]: Taking taylor expansion of th in th 3.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.785 * [taylor]: Taking taylor expansion of 2.0 in th 3.787 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 3.787 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 3.787 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 3.787 * [taylor]: Taking taylor expansion of (/ 1 th) in th 3.787 * [taylor]: Taking taylor expansion of th in th 3.787 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.787 * [taylor]: Taking taylor expansion of 2.0 in th 3.787 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 3.787 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 3.787 * [taylor]: Taking taylor expansion of (/ 1 th) in th 3.787 * [taylor]: Taking taylor expansion of th in th 3.787 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.787 * [taylor]: Taking taylor expansion of 2.0 in th 3.789 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 3.789 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 3.789 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 3.789 * [taylor]: Taking taylor expansion of (/ -1 th) in th 3.789 * [taylor]: Taking taylor expansion of -1 in th 3.789 * [taylor]: Taking taylor expansion of th in th 3.789 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.789 * [taylor]: Taking taylor expansion of 2.0 in th 3.789 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 3.789 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 3.789 * [taylor]: Taking taylor expansion of (/ -1 th) in th 3.789 * [taylor]: Taking taylor expansion of -1 in th 3.789 * [taylor]: Taking taylor expansion of th in th 3.789 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 3.789 * [taylor]: Taking taylor expansion of 2.0 in th 3.791 * * * [progress]: simplifying candidates 3.792 * [simplify]: Simplifying using # : (log (cbrt 2.0)) (exp (cbrt 2.0)) (cbrt (* (cbrt 2.0) (cbrt 2.0))) (cbrt (cbrt 2.0)) (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)) (cbrt 1) (cbrt 2.0) (* (cbrt (cbrt 2.0)) (cbrt (cbrt 2.0))) (cbrt (cbrt 2.0)) (* (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0)) (sqrt (cbrt 2.0)) (sqrt (cbrt 2.0)) (log (cbrt 2.0)) (exp (cbrt 2.0)) (cbrt (* (cbrt 2.0) (cbrt 2.0))) (cbrt (cbrt 2.0)) (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)) (cbrt 1) (cbrt 2.0) (* (cbrt (cbrt 2.0)) (cbrt (cbrt 2.0))) (cbrt (cbrt 2.0)) (* (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0)) (sqrt (cbrt 2.0)) (sqrt (cbrt 2.0)) (log (cbrt 2.0)) (exp (cbrt 2.0)) (cbrt (* (cbrt 2.0) (cbrt 2.0))) (cbrt (cbrt 2.0)) (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)) (cbrt 1) (cbrt 2.0) (* (cbrt (cbrt 2.0)) (cbrt (cbrt 2.0))) (cbrt (cbrt 2.0)) (* (* (cbrt 2.0) (cbrt 2.0)) (cbrt 2.0)) (sqrt (cbrt 2.0)) (sqrt (cbrt 2.0)) (- (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 (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* 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)) 3.794 * * [simplify]: iteration 0 : 91 enodes (cost 644 ) 3.807 * * [simplify]: iteration 1 : 157 enodes (cost 613 ) 3.827 * * [simplify]: iteration 2 : 358 enodes (cost 579 ) 3.879 * * [simplify]: iteration 3 : 808 enodes (cost 567 ) 3.997 * * [simplify]: iteration 4 : 1883 enodes (cost 567 ) 4.306 * * [simplify]: iteration 5 : 3940 enodes (cost 564 ) 4.710 * * [simplify]: iteration done : 5001 enodes (cost 564 ) 4.710 * [simplify]: Simplified to: (log (cbrt 2.0)) (exp (cbrt 2.0)) (cbrt (* (cbrt 2.0) (cbrt 2.0))) (cbrt (cbrt 2.0)) (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)) 1 (cbrt 2.0) (* (cbrt (cbrt 2.0)) (cbrt (cbrt 2.0))) (cbrt (cbrt 2.0)) 2.0 (sqrt (cbrt 2.0)) (sqrt (cbrt 2.0)) (log (cbrt 2.0)) (exp (cbrt 2.0)) (cbrt (* (cbrt 2.0) (cbrt 2.0))) (cbrt (cbrt 2.0)) (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)) 1 (cbrt 2.0) (* (cbrt (cbrt 2.0)) (cbrt (cbrt 2.0))) (cbrt (cbrt 2.0)) 2.0 (sqrt (cbrt 2.0)) (sqrt (cbrt 2.0)) (log (cbrt 2.0)) (exp (cbrt 2.0)) (cbrt (* (cbrt 2.0) (cbrt 2.0))) (cbrt (cbrt 2.0)) (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)) 1 (cbrt 2.0) (* (cbrt (cbrt 2.0)) (cbrt (cbrt 2.0))) (cbrt (cbrt 2.0)) 2.0 (sqrt (cbrt 2.0)) (sqrt (cbrt 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) (* (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)) (cbrt (cos th))) (fabs (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))) (/ (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))) (/ (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 (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2)) (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (* a2 a2)) (+ (* (/ th (/ (sqrt 2.0) th)) (- (* 1/24 (pow th 2)) 1/2)) (/ 1 (sqrt 2.0))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) 4.711 * * * [progress]: adding candidates to table 4.952 * * [progress]: iteration 4 / 4 4.952 * * * [progress]: picking best candidate 4.992 * * * * [pick]: Picked # 4.992 * * * [progress]: localizing error 5.007 * * * [progress]: generating rewritten candidates 5.007 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 5.013 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 5.019 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 5.037 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 5.084 * * * [progress]: generating series expansions 5.084 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 5.084 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 5.084 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 5.084 * [taylor]: Taking taylor expansion of (cos th) in th 5.084 * [taylor]: Taking taylor expansion of th in th 5.084 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.084 * [taylor]: Taking taylor expansion of 2.0 in th 5.084 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 5.084 * [taylor]: Taking taylor expansion of (cos th) in th 5.084 * [taylor]: Taking taylor expansion of th in th 5.084 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.084 * [taylor]: Taking taylor expansion of 2.0 in th 5.086 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 5.086 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 5.086 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 5.086 * [taylor]: Taking taylor expansion of (/ 1 th) in th 5.086 * [taylor]: Taking taylor expansion of th in th 5.086 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.086 * [taylor]: Taking taylor expansion of 2.0 in th 5.086 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 5.086 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 5.086 * [taylor]: Taking taylor expansion of (/ 1 th) in th 5.086 * [taylor]: Taking taylor expansion of th in th 5.086 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.086 * [taylor]: Taking taylor expansion of 2.0 in th 5.088 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 5.088 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 5.088 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 5.088 * [taylor]: Taking taylor expansion of (/ -1 th) in th 5.088 * [taylor]: Taking taylor expansion of -1 in th 5.088 * [taylor]: Taking taylor expansion of th in th 5.088 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.088 * [taylor]: Taking taylor expansion of 2.0 in th 5.088 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 5.088 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 5.088 * [taylor]: Taking taylor expansion of (/ -1 th) in th 5.088 * [taylor]: Taking taylor expansion of -1 in th 5.088 * [taylor]: Taking taylor expansion of th in th 5.088 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.088 * [taylor]: Taking taylor expansion of 2.0 in th 5.090 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 5.090 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0 5.090 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 5.090 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 5.090 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 5.090 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.090 * [taylor]: Taking taylor expansion of 2.0 in th 5.090 * [taylor]: Taking taylor expansion of (cos th) in th 5.090 * [taylor]: Taking taylor expansion of th in th 5.090 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 5.090 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 5.090 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 5.090 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.090 * [taylor]: Taking taylor expansion of 2.0 in th 5.090 * [taylor]: Taking taylor expansion of (cos th) in th 5.090 * [taylor]: Taking taylor expansion of th in th 5.092 * [approximate]: Taking taylor expansion of (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2.0)))) in (th) around 0 5.092 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2.0)))) in th 5.092 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 5.092 * [taylor]: Taking taylor expansion of (/ 1 th) in th 5.092 * [taylor]: Taking taylor expansion of th in th 5.092 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 5.092 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 5.092 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.093 * [taylor]: Taking taylor expansion of 2.0 in th 5.093 * [taylor]: Taking taylor expansion of (* (cos (/ 1 th)) (sqrt (/ 1 (sqrt 2.0)))) in th 5.093 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 5.093 * [taylor]: Taking taylor expansion of (/ 1 th) in th 5.093 * [taylor]: Taking taylor expansion of th in th 5.093 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 5.093 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 5.093 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.093 * [taylor]: Taking taylor expansion of 2.0 in th 5.095 * [approximate]: Taking taylor expansion of (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2.0)))) in (th) around 0 5.095 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2.0)))) in th 5.095 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 5.095 * [taylor]: Taking taylor expansion of (/ -1 th) in th 5.095 * [taylor]: Taking taylor expansion of -1 in th 5.095 * [taylor]: Taking taylor expansion of th in th 5.096 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 5.096 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 5.096 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.096 * [taylor]: Taking taylor expansion of 2.0 in th 5.096 * [taylor]: Taking taylor expansion of (* (cos (/ -1 th)) (sqrt (/ 1 (sqrt 2.0)))) in th 5.096 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 5.096 * [taylor]: Taking taylor expansion of (/ -1 th) in th 5.096 * [taylor]: Taking taylor expansion of -1 in th 5.096 * [taylor]: Taking taylor expansion of th in th 5.096 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 5.096 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 5.096 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.096 * [taylor]: Taking taylor expansion of 2.0 in th 5.098 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 5.099 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 5.099 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 5.099 * [taylor]: Taking taylor expansion of (cos th) in th 5.099 * [taylor]: Taking taylor expansion of th in th 5.099 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.099 * [taylor]: Taking taylor expansion of 2.0 in th 5.099 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 5.099 * [taylor]: Taking taylor expansion of (cos th) in th 5.099 * [taylor]: Taking taylor expansion of th in th 5.099 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.099 * [taylor]: Taking taylor expansion of 2.0 in th 5.100 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 5.100 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 5.101 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 5.101 * [taylor]: Taking taylor expansion of (/ 1 th) in th 5.101 * [taylor]: Taking taylor expansion of th in th 5.101 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.101 * [taylor]: Taking taylor expansion of 2.0 in th 5.101 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 5.101 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 5.101 * [taylor]: Taking taylor expansion of (/ 1 th) in th 5.101 * [taylor]: Taking taylor expansion of th in th 5.101 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.101 * [taylor]: Taking taylor expansion of 2.0 in th 5.102 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 5.102 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 5.102 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 5.102 * [taylor]: Taking taylor expansion of (/ -1 th) in th 5.103 * [taylor]: Taking taylor expansion of -1 in th 5.103 * [taylor]: Taking taylor expansion of th in th 5.103 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.103 * [taylor]: Taking taylor expansion of 2.0 in th 5.103 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 5.103 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 5.103 * [taylor]: Taking taylor expansion of (/ -1 th) in th 5.103 * [taylor]: Taking taylor expansion of -1 in th 5.103 * [taylor]: Taking taylor expansion of th in th 5.103 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.103 * [taylor]: Taking taylor expansion of 2.0 in th 5.104 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 5.105 * [approximate]: Taking taylor expansion of (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) in (th a2) around 0 5.105 * [taylor]: Taking taylor expansion of (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) in a2 5.105 * [taylor]: Taking taylor expansion of (* (pow a2 2) (cos th)) in a2 5.105 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 5.105 * [taylor]: Taking taylor expansion of a2 in a2 5.105 * [taylor]: Taking taylor expansion of (cos th) in a2 5.105 * [taylor]: Taking taylor expansion of th in a2 5.105 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 5.105 * [taylor]: Taking taylor expansion of 2.0 in a2 5.105 * [taylor]: Taking taylor expansion of (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) in th 5.105 * [taylor]: Taking taylor expansion of (* (pow a2 2) (cos th)) in th 5.105 * [taylor]: Taking taylor expansion of (pow a2 2) in th 5.105 * [taylor]: Taking taylor expansion of a2 in th 5.105 * [taylor]: Taking taylor expansion of (cos th) in th 5.105 * [taylor]: Taking taylor expansion of th in th 5.105 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.105 * [taylor]: Taking taylor expansion of 2.0 in th 5.105 * [taylor]: Taking taylor expansion of (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) in th 5.105 * [taylor]: Taking taylor expansion of (* (pow a2 2) (cos th)) in th 5.105 * [taylor]: Taking taylor expansion of (pow a2 2) in th 5.105 * [taylor]: Taking taylor expansion of a2 in th 5.105 * [taylor]: Taking taylor expansion of (cos th) in th 5.105 * [taylor]: Taking taylor expansion of th in th 5.105 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.105 * [taylor]: Taking taylor expansion of 2.0 in th 5.106 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 5.106 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 5.106 * [taylor]: Taking taylor expansion of a2 in a2 5.106 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 5.106 * [taylor]: Taking taylor expansion of 2.0 in a2 5.106 * [taylor]: Taking taylor expansion of 0 in a2 5.107 * [taylor]: Taking taylor expansion of (neg (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2 5.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2 5.107 * [taylor]: Taking taylor expansion of 1/2 in a2 5.107 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 5.107 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 5.107 * [taylor]: Taking taylor expansion of a2 in a2 5.107 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 5.107 * [taylor]: Taking taylor expansion of 2.0 in a2 5.108 * [taylor]: Taking taylor expansion of 0 in a2 5.109 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2.0))) in (th a2) around 0 5.109 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2.0))) in a2 5.109 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 5.109 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 5.109 * [taylor]: Taking taylor expansion of th in a2 5.109 * [taylor]: Taking taylor expansion of (* (pow a2 2) (sqrt 2.0)) in a2 5.109 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 5.109 * [taylor]: Taking taylor expansion of a2 in a2 5.109 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 5.109 * [taylor]: Taking taylor expansion of 2.0 in a2 5.109 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2.0))) in th 5.109 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 5.109 * [taylor]: Taking taylor expansion of (/ 1 th) in th 5.109 * [taylor]: Taking taylor expansion of th in th 5.109 * [taylor]: Taking taylor expansion of (* (pow a2 2) (sqrt 2.0)) in th 5.109 * [taylor]: Taking taylor expansion of (pow a2 2) in th 5.109 * [taylor]: Taking taylor expansion of a2 in th 5.109 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.109 * [taylor]: Taking taylor expansion of 2.0 in th 5.110 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2.0))) in th 5.110 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 5.110 * [taylor]: Taking taylor expansion of (/ 1 th) in th 5.110 * [taylor]: Taking taylor expansion of th in th 5.110 * [taylor]: Taking taylor expansion of (* (pow a2 2) (sqrt 2.0)) in th 5.110 * [taylor]: Taking taylor expansion of (pow a2 2) in th 5.110 * [taylor]: Taking taylor expansion of a2 in th 5.110 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.110 * [taylor]: Taking taylor expansion of 2.0 in th 5.110 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 5.110 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 5.110 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 5.110 * [taylor]: Taking taylor expansion of th in a2 5.111 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 5.111 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 5.111 * [taylor]: Taking taylor expansion of 2.0 in a2 5.111 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 5.111 * [taylor]: Taking taylor expansion of a2 in a2 5.111 * [taylor]: Taking taylor expansion of 0 in a2 5.112 * [taylor]: Taking taylor expansion of 0 in a2 5.113 * [taylor]: Taking taylor expansion of 0 in a2 5.115 * [taylor]: Taking taylor expansion of 0 in a2 5.115 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2.0))) in (th a2) around 0 5.115 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2.0))) in a2 5.115 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 5.115 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 5.115 * [taylor]: Taking taylor expansion of -1 in a2 5.115 * [taylor]: Taking taylor expansion of th in a2 5.115 * [taylor]: Taking taylor expansion of (* (pow a2 2) (sqrt 2.0)) in a2 5.115 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 5.115 * [taylor]: Taking taylor expansion of a2 in a2 5.115 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 5.115 * [taylor]: Taking taylor expansion of 2.0 in a2 5.116 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2.0))) in th 5.116 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 5.116 * [taylor]: Taking taylor expansion of (/ -1 th) in th 5.116 * [taylor]: Taking taylor expansion of -1 in th 5.116 * [taylor]: Taking taylor expansion of th in th 5.116 * [taylor]: Taking taylor expansion of (* (pow a2 2) (sqrt 2.0)) in th 5.116 * [taylor]: Taking taylor expansion of (pow a2 2) in th 5.116 * [taylor]: Taking taylor expansion of a2 in th 5.116 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.116 * [taylor]: Taking taylor expansion of 2.0 in th 5.116 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2.0))) in th 5.116 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 5.116 * [taylor]: Taking taylor expansion of (/ -1 th) in th 5.116 * [taylor]: Taking taylor expansion of -1 in th 5.116 * [taylor]: Taking taylor expansion of th in th 5.116 * [taylor]: Taking taylor expansion of (* (pow a2 2) (sqrt 2.0)) in th 5.116 * [taylor]: Taking taylor expansion of (pow a2 2) in th 5.116 * [taylor]: Taking taylor expansion of a2 in th 5.116 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 5.116 * [taylor]: Taking taylor expansion of 2.0 in th 5.117 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 5.117 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 5.117 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 5.117 * [taylor]: Taking taylor expansion of -1 in a2 5.117 * [taylor]: Taking taylor expansion of th in a2 5.117 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 5.117 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 5.117 * [taylor]: Taking taylor expansion of 2.0 in a2 5.117 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 5.117 * [taylor]: Taking taylor expansion of a2 in a2 5.117 * [taylor]: Taking taylor expansion of 0 in a2 5.118 * [taylor]: Taking taylor expansion of 0 in a2 5.119 * [taylor]: Taking taylor expansion of 0 in a2 5.121 * [taylor]: Taking taylor expansion of 0 in a2 5.121 * * * [progress]: simplifying candidates 5.135 * [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)) (- (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)) (- (- (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 (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (neg (/ (cos th) (sqrt (sqrt 2.0)))) (neg (sqrt (sqrt 2.0))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt 1))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt 1)) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) 1) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 1))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt 1)) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) 1) (/ (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) 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th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (/ (pow a2 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2.0)))) (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) (/ (* (pow a2 2) (cos th)) (sqrt 2.0)) 5.160 * * [simplify]: iteration 0 : 477 enodes (cost 9858 ) 5.232 * * [simplify]: iteration 1 : 1119 enodes (cost 8887 ) 5.436 * * [simplify]: iteration 2 : 3580 enodes (cost 8079 ) 5.848 * * [simplify]: iteration done : 5000 enodes (cost 7985 ) 5.852 * [simplify]: Simplified to: (log (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (exp (/ (cos th) (sqrt 2.0))) (/ (pow (cos th) 3) (* (sqrt 2.0) 2.0)) (* (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 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(cbrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (* (* a2 a2) (/ (cos th) (sqrt 2.0))) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (* (* a2 a2) (/ (cos th) (sqrt 2.0))) (* (* a2 a2) (/ (cos th) (sqrt 2.0))) (/ (* a2 a2) (sqrt 2.0)) (* (cos th) (* 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)) (* 1/2 (pow th 2)))) (sqrt (/ 1 (sqrt 2.0)))) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (- (+ (/ 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 a2 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2.0)))) (* (* a2 a2) (/ (cos th) (sqrt 2.0))) (* (* a2 a2) (/ (cos th) (sqrt 2.0))) 5.857 * * * [progress]: adding candidates to table 6.573 * [progress]: [Phase 3 of 3] Extracting. 6.573 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 6.577 * * * [regime-changes]: Trying 6 branch expressions: ((* a2 a2) (* a1 a1) (cos th) th a2 a1) 6.577 * * * * [regimes]: Trying to branch on (* a2 a2) from (# # # # # # # # # #) 6.661 * * * * [regimes]: Trying to branch on (* a1 a1) from (# # # # # # # # # #) 6.742 * * * * [regimes]: Trying to branch on (cos th) from (# # # # # # # # # #) 6.826 * * * * [regimes]: Trying to branch on th from (# # # # # # # # # #) 6.911 * * * * [regimes]: Trying to branch on a2 from (# # # # # # # # # #) 6.995 * * * * [regimes]: Trying to branch on a1 from (# # # # # # # # # #) 7.081 * * * [regime]: Found split indices: #