31.088 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.116 * * * [progress]: [2/2] Setting up program. 0.120 * [progress]: [Phase 2 of 3] Improving. 0.121 * [simplify]: Simplifying: (log (+ x (sqrt (- (* x x) 1.0)))) 0.121 * * [simplify]: Extracting # 0 : cost 0 0.121 * * [simplify]: Extracting # 1 : cost 0 0.121 * * [simplify]: Extracting # 2 : cost 0 0.121 * * [simplify]: Extracting # 3 : cost 0 0.121 * * [simplify]: Extracting # 4 : cost 0 0.121 * * [simplify]: Extracting # 5 : cost 0 0.121 * * [simplify]: Extracting # 6 : cost 0 0.121 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.126 * * [simplify]: Extracting # 0 : cost 0 0.126 * * [simplify]: Extracting # 1 : cost 0 0.126 * * [simplify]: Extracting # 2 : cost 0 0.126 * * [simplify]: iteration 1 : 11 enodes (cost 9 ) 0.130 * * [simplify]: Extracting # 0 : cost 0 0.130 * * [simplify]: iteration 2 : 12 enodes (cost 9 ) 0.134 * * [simplify]: Extracting # 0 : cost 0 0.134 * * [simplify]: iteration done: 12 enodes (cost 9 ) 0.134 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1.0)))) 0.135 * * [progress]: iteration 1 / 4 0.135 * * * [progress]: picking best candidate 0.138 * * * * [pick]: Picked # 0.138 * * * [progress]: localizing error 0.150 * * * [progress]: generating rewritten candidates 0.150 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.164 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.193 * * * [progress]: generating series expansions 0.193 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.193 * [backup-simplify]: Simplify (sqrt (- (* x x) 1.0)) into (sqrt (- (pow x 2) 1.0)) 0.193 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.193 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.193 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [taylor]: Taking taylor expansion of 1.0 in x 0.193 * [backup-simplify]: Simplify 1.0 into 1.0 0.194 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.194 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.195 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.195 * [backup-simplify]: Simplify (- 0) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.196 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.196 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of 1.0 in x 0.196 * [backup-simplify]: Simplify 1.0 into 1.0 0.196 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.197 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.197 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.198 * [backup-simplify]: Simplify (- 0) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.199 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify (* 1 1) into 1 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ 1 0) into 1 0.202 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.203 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- 1.0))) into (/ 1/2 (sqrt (- 1.0))) 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.204 * [backup-simplify]: Simplify (- 0) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- 1.0))))))) (* 2 (sqrt (- 1.0)))) into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (- 1.0))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0)))) into (/ -1/8 (pow (sqrt (- 1.0)) 3)) 0.219 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (- 1.0)) 3)) into (/ -1/8 (pow (sqrt (- 1.0)) 3)) 0.223 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt (- 1.0)) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt (- 1.0))) (pow x 2)) (sqrt (- 1.0)))) into (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) 0.223 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.223 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.223 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.224 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (* 1 1) into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [taylor]: Taking taylor expansion of 1.0 in x 0.225 * [backup-simplify]: Simplify 1.0 into 1.0 0.225 * [backup-simplify]: Simplify (+ 1 0) into 1 0.226 * [backup-simplify]: Simplify (sqrt 1) into 1 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.228 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.228 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (* 1 1) into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [taylor]: Taking taylor expansion of 1.0 in x 0.229 * [backup-simplify]: Simplify 1.0 into 1.0 0.230 * [backup-simplify]: Simplify (+ 1 0) into 1 0.230 * [backup-simplify]: Simplify (sqrt 1) into 1 0.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.236 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.240 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.240 * [backup-simplify]: Simplify -0.5 into -0.5 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (- 0) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.251 * [backup-simplify]: Simplify -0.125 into -0.125 0.252 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 x) 3)) (+ (* -0.5 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) 0.252 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.252 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.252 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.252 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (* 1 1) into 1 0.253 * [backup-simplify]: Simplify (/ 1 1) into 1 0.253 * [taylor]: Taking taylor expansion of 1.0 in x 0.253 * [backup-simplify]: Simplify 1.0 into 1.0 0.254 * [backup-simplify]: Simplify (+ 1 0) into 1 0.254 * [backup-simplify]: Simplify (sqrt 1) into 1 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.257 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.257 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (* 1 1) into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.258 * [taylor]: Taking taylor expansion of 1.0 in x 0.258 * [backup-simplify]: Simplify 1.0 into 1.0 0.258 * [backup-simplify]: Simplify (+ 1 0) into 1 0.258 * [backup-simplify]: Simplify (sqrt 1) into 1 0.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.264 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.267 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.267 * [backup-simplify]: Simplify -0.5 into -0.5 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (- 0) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.278 * [backup-simplify]: Simplify -0.125 into -0.125 0.278 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- x)) 3)) (+ (* -0.5 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) 0.278 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.279 * [backup-simplify]: Simplify (+ x (sqrt (- (* x x) 1.0))) into (+ (sqrt (- (pow x 2) 1.0)) x) 0.279 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 0.279 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.279 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.279 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [backup-simplify]: Simplify 1.0 into 1.0 0.279 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.280 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.281 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.282 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.283 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.283 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.283 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [taylor]: Taking taylor expansion of 1.0 in x 0.283 * [backup-simplify]: Simplify 1.0 into 1.0 0.283 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.284 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.285 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (+ (sqrt (- 1.0)) 0) into (sqrt (- 1.0)) 0.289 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.289 * [backup-simplify]: Simplify (+ 0 1) into 1 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (* 1 1) into 1 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.290 * [backup-simplify]: Simplify (+ 1 0) into 1 0.294 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.296 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt (- 1.0))) 0) into (* 1/2 (/ 1 (sqrt (- 1.0)))) 0.299 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.301 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt (- 1.0))) (pow x 2)) (+ (* 1 x) (sqrt (- 1.0)))) into (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) 0.302 * [backup-simplify]: Simplify (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0))) into (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) 0.302 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.302 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.302 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.302 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (* 1 1) into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of 1.0 in x 0.303 * [backup-simplify]: Simplify 1.0 into 1.0 0.303 * [backup-simplify]: Simplify (+ 1 0) into 1 0.303 * [backup-simplify]: Simplify (sqrt 1) into 1 0.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (/ 1 1) into 1 0.306 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.307 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.307 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (* 1 1) into 1 0.307 * [backup-simplify]: Simplify (/ 1 1) into 1 0.307 * [taylor]: Taking taylor expansion of 1.0 in x 0.308 * [backup-simplify]: Simplify 1.0 into 1.0 0.308 * [backup-simplify]: Simplify (+ 1 0) into 1 0.308 * [backup-simplify]: Simplify (sqrt 1) into 1 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.311 * [taylor]: Taking taylor expansion of x in x 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (/ 1 1) into 1 0.312 * [backup-simplify]: Simplify (+ 1 1) into 2 0.312 * [backup-simplify]: Simplify 2 into 2 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.317 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.320 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.322 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (- 0) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ -0.125 0) into (- 0.125) 0.336 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.337 * [backup-simplify]: Simplify (+ (* (- 0.125) (pow (/ 1 x) 3)) (+ (* (- 0.5) (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) 0.338 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0))) into (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) 0.338 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.338 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.338 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.338 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (* 1 1) into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [taylor]: Taking taylor expansion of 1.0 in x 0.339 * [backup-simplify]: Simplify 1.0 into 1.0 0.339 * [backup-simplify]: Simplify (+ 1 0) into 1 0.340 * [backup-simplify]: Simplify (sqrt 1) into 1 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (/ 1 1) into 1 0.343 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.343 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.343 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (* 1 1) into 1 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [backup-simplify]: Simplify 1.0 into 1.0 0.344 * [backup-simplify]: Simplify (+ 1 0) into 1 0.344 * [backup-simplify]: Simplify (sqrt 1) into 1 0.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [backup-simplify]: Simplify (- 1) into -1 0.348 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (- 0) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.353 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.356 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.358 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (- 0) into 0 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (- 0) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (- 0) into 0 0.377 * [backup-simplify]: Simplify (+ -0.125 0) into (- 0.125) 0.378 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (- 0) into 0 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.125)) (* 2 (* -0.5 0)))) (* 2 1)) into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (- 0) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (- 0) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.394 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (- 0) into 0 0.395 * [backup-simplify]: Simplify (+ -0.0625 0) into (- 0.0625) 0.396 * [backup-simplify]: Simplify (- 0.0625) into (- 0.0625) 0.397 * [backup-simplify]: Simplify (+ (* (- 0.0625) (pow (/ 1 (- x)) 5)) (+ (* (- 0.125) (pow (/ 1 (- x)) 3)) (* (- 0.5) (/ 1 (- x))))) into (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x)))) 0.397 * * * [progress]: simplifying candidates 0.398 * [simplify]: Simplifying: (expm1 (sqrt (- (* x x) 1.0))) (log1p (sqrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (* (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (sqrt (- (* x x) 1.0))) (sqrt (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt 1) (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (expm1 (+ x (sqrt (- (* x x) 1.0)))) (log1p (+ x (sqrt (- (* x x) 1.0)))) (* (exp x) (exp (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (* (* (+ x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0)))) (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0))))) (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)))) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x)))) 0.399 * * [simplify]: Extracting # 0 : cost 0 0.399 * * [simplify]: Extracting # 1 : cost 0 0.399 * * [simplify]: Extracting # 2 : cost 0 0.399 * * [simplify]: Extracting # 3 : cost 0 0.399 * * [simplify]: Extracting # 4 : cost 0 0.399 * * [simplify]: Extracting # 5 : cost 0 0.400 * * [simplify]: Extracting # 6 : cost 0 0.400 * * [simplify]: Extracting # 7 : cost 0 0.400 * * [simplify]: Extracting # 8 : cost 0 0.400 * * [simplify]: Extracting # 9 : cost 0 0.400 * * [simplify]: iteration 0 : 95 enodes (cost 483 ) 0.423 * * [simplify]: Extracting # 0 : cost 0 0.424 * * [simplify]: Extracting # 1 : cost 0 0.424 * * [simplify]: Extracting # 2 : cost 0 0.424 * * [simplify]: Extracting # 3 : cost 0 0.424 * * [simplify]: Extracting # 4 : cost 0 0.425 * * [simplify]: iteration 1 : 233 enodes (cost 424 ) 0.536 * * [simplify]: Extracting # 0 : cost 0 0.536 * * [simplify]: Extracting # 1 : cost 0 0.537 * * [simplify]: Extracting # 2 : cost 0 0.537 * * [simplify]: Extracting # 3 : cost 0 0.538 * * [simplify]: Extracting # 4 : cost 0 0.538 * * [simplify]: iteration 2 : 608 enodes (cost 392 ) 1.035 * * [simplify]: Extracting # 0 : cost 0 1.039 * * [simplify]: Extracting # 1 : cost 0 1.043 * * [simplify]: Extracting # 2 : cost 0 1.046 * * [simplify]: Extracting # 3 : cost 0 1.049 * * [simplify]: Extracting # 4 : cost 0 1.053 * * [simplify]: iteration 3 : 1718 enodes (cost 355 ) 2.026 * * [simplify]: Extracting # 0 : cost 0 2.033 * * [simplify]: Extracting # 1 : cost 0 2.043 * * [simplify]: Extracting # 2 : cost 0 2.051 * * [simplify]: Extracting # 3 : cost 0 2.056 * * [simplify]: Extracting # 4 : cost 0 2.062 * * [simplify]: iteration done: 5001 enodes (cost 351 ) 2.062 * [simplify]: Simplified to: (expm1 (hypot (sqrt (- 1.0)) x)) (log1p (hypot (sqrt (- 1.0)) x)) (log (hypot (sqrt (- 1.0)) x)) (exp (hypot (sqrt (- 1.0)) x)) (* (cbrt (hypot (sqrt (- 1.0)) x)) (cbrt (hypot (sqrt (- 1.0)) x))) (cbrt (hypot (sqrt (- 1.0)) x)) (pow (hypot (sqrt (- 1.0)) x) 3) (fabs (cbrt (- (* x x) 1.0))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (hypot (sqrt (- 1.0)) x)) (sqrt (hypot (sqrt (- 1.0)) x)) 1 (hypot (sqrt (- 1.0)) x) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow x 6) (pow 1.0 3))) (sqrt (fma 1.0 (fma x x 1.0) (pow x 4))) (sqrt (- (pow x 4) (* 1.0 1.0))) (sqrt (fma x x 1.0)) 1/2 (sqrt (hypot (sqrt (- 1.0)) x)) (sqrt (hypot (sqrt (- 1.0)) x)) (expm1 (+ x (hypot (sqrt (- 1.0)) x))) (log1p (+ x (hypot (sqrt (- 1.0)) x))) (exp (+ x (hypot (sqrt (- 1.0)) x))) (log (+ x (hypot (sqrt (- 1.0)) x))) (exp (+ x (hypot (sqrt (- 1.0)) x))) (* (cbrt (+ x (hypot (sqrt (- 1.0)) x))) (cbrt (+ x (hypot (sqrt (- 1.0)) x)))) (cbrt (+ x (hypot (sqrt (- 1.0)) x))) (pow (+ x (hypot (sqrt (- 1.0)) x)) 3) (sqrt (+ x (hypot (sqrt (- 1.0)) x))) (sqrt (+ x (hypot (sqrt (- 1.0)) x))) (+ (pow x 3) (pow (hypot (sqrt (- 1.0)) x) 3)) (- (* x (+ x (- x (hypot (sqrt (- 1.0)) x)))) 1.0) 1.0 (- x (hypot (sqrt (- 1.0)) x)) (+ x (hypot (sqrt (- 1.0)) x)) (+ (* (/ (pow x 2) (sqrt (- 1.0))) (- 1/2 (* (/ (* x x) (- 1.0)) 1/8))) (sqrt (- 1.0))) (- (- x (/ 0.5 x)) (/ 0.125 (pow x 3))) (+ (/ 0.125 (pow x 3)) (- (/ 0.5 x) x)) (+ (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (sqrt (- 1.0))) x) (- (- (* 2 x) (/ 0.5 x)) (/ 0.125 (pow x 3))) (+ (+ (/ 0.125 (pow x 3)) (/ 0.5 x)) (/ 0.0625 (pow x 5))) 2.063 * * * [progress]: adding candidates to table 2.208 * * [progress]: iteration 2 / 4 2.208 * * * [progress]: picking best candidate 2.211 * * * * [pick]: Picked # 2.211 * * * [progress]: localizing error 2.229 * * * [progress]: generating rewritten candidates 2.229 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 2.308 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.316 * * * [progress]: generating series expansions 2.316 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 2.317 * [backup-simplify]: Simplify (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) into (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) 2.317 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 2.317 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 2.317 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 2.317 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 2.317 * [taylor]: Taking taylor expansion of x in x 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 1 into 1 2.317 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.317 * [taylor]: Taking taylor expansion of 1.0 in x 2.317 * [backup-simplify]: Simplify 1.0 into 1.0 2.318 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.318 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 2.318 * [taylor]: Taking taylor expansion of x in x 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.318 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.318 * [taylor]: Taking taylor expansion of 1.0 in x 2.318 * [backup-simplify]: Simplify 1.0 into 1.0 2.318 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.319 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 2.320 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.321 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.322 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 2.323 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 2.324 * [backup-simplify]: Simplify (- 0) into 0 2.324 * [backup-simplify]: Simplify (+ 1 0) into 1 2.324 * [backup-simplify]: Simplify (+ 1 0) into 1 2.326 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 2.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 2.327 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 2.327 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 2.327 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 2.327 * [taylor]: Taking taylor expansion of x in x 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify 1 into 1 2.327 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.327 * [taylor]: Taking taylor expansion of 1.0 in x 2.327 * [backup-simplify]: Simplify 1.0 into 1.0 2.327 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.332 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 2.332 * [taylor]: Taking taylor expansion of x in x 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify 1 into 1 2.332 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.332 * [taylor]: Taking taylor expansion of 1.0 in x 2.332 * [backup-simplify]: Simplify 1.0 into 1.0 2.332 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.333 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 2.334 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.336 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.337 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 2.340 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 2.340 * [backup-simplify]: Simplify (- 0) into 0 2.341 * [backup-simplify]: Simplify (+ 1 0) into 1 2.341 * [backup-simplify]: Simplify (+ 1 0) into 1 2.344 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 2.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 2.348 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 2.348 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.350 * [backup-simplify]: Simplify (- 0) into 0 2.350 * [backup-simplify]: Simplify (+ 0 0) into 0 2.351 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.352 * [backup-simplify]: Simplify (+ 0 0) into 0 2.353 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 2.357 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 2.359 * [backup-simplify]: Simplify (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 2.360 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.360 * [backup-simplify]: Simplify (- 0) into 0 2.360 * [backup-simplify]: Simplify (+ 0 0) into 0 2.361 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.361 * [backup-simplify]: Simplify (+ 0 0) into 0 2.362 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- (sqrt 1.0)))))) into 0 2.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))))))) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 2.363 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.364 * [backup-simplify]: Simplify (- 0) into 0 2.365 * [backup-simplify]: Simplify (+ 0 0) into 0 2.366 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.366 * [backup-simplify]: Simplify (+ 0 0) into 0 2.367 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- (sqrt 1.0))))))) into 0 2.375 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) 2.378 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) into (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) 2.386 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) (pow x 2)) (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (- (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) 2.387 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 x) (sqrt 1.0))) (sqrt (- (/ 1 x) (sqrt 1.0)))) into (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) 2.387 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 2.387 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 2.387 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 2.387 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 2.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.387 * [taylor]: Taking taylor expansion of x in x 2.387 * [backup-simplify]: Simplify 0 into 0 2.387 * [backup-simplify]: Simplify 1 into 1 2.388 * [backup-simplify]: Simplify (/ 1 1) into 1 2.388 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.388 * [taylor]: Taking taylor expansion of 1.0 in x 2.388 * [backup-simplify]: Simplify 1.0 into 1.0 2.388 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.389 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.389 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.389 * [taylor]: Taking taylor expansion of 1.0 in x 2.389 * [backup-simplify]: Simplify 1.0 into 1.0 2.389 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.390 * [taylor]: Taking taylor expansion of x in x 2.390 * [backup-simplify]: Simplify 0 into 0 2.390 * [backup-simplify]: Simplify 1 into 1 2.390 * [backup-simplify]: Simplify (/ 1 1) into 1 2.391 * [backup-simplify]: Simplify (+ 1 0) into 1 2.391 * [backup-simplify]: Simplify (+ 0 1) into 1 2.391 * [backup-simplify]: Simplify (* 1 1) into 1 2.392 * [backup-simplify]: Simplify (sqrt 1) into 1 2.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.393 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.395 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.396 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.399 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 2.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.400 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 2.400 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 2.400 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 2.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.400 * [taylor]: Taking taylor expansion of x in x 2.400 * [backup-simplify]: Simplify 0 into 0 2.400 * [backup-simplify]: Simplify 1 into 1 2.400 * [backup-simplify]: Simplify (/ 1 1) into 1 2.400 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.400 * [taylor]: Taking taylor expansion of 1.0 in x 2.401 * [backup-simplify]: Simplify 1.0 into 1.0 2.401 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.402 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.402 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.402 * [taylor]: Taking taylor expansion of 1.0 in x 2.402 * [backup-simplify]: Simplify 1.0 into 1.0 2.402 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.403 * [taylor]: Taking taylor expansion of x in x 2.403 * [backup-simplify]: Simplify 0 into 0 2.403 * [backup-simplify]: Simplify 1 into 1 2.403 * [backup-simplify]: Simplify (/ 1 1) into 1 2.404 * [backup-simplify]: Simplify (+ 1 0) into 1 2.404 * [backup-simplify]: Simplify (+ 0 1) into 1 2.404 * [backup-simplify]: Simplify (* 1 1) into 1 2.405 * [backup-simplify]: Simplify (sqrt 1) into 1 2.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.406 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.408 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.409 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.412 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 2.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.413 * [backup-simplify]: Simplify 1 into 1 2.413 * [backup-simplify]: Simplify 0 into 0 2.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.414 * [backup-simplify]: Simplify (+ 0 0) into 0 2.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.415 * [backup-simplify]: Simplify (- 0) into 0 2.416 * [backup-simplify]: Simplify (+ 0 0) into 0 2.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) (sqrt 1.0)) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 2.422 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 2.423 * [backup-simplify]: Simplify (* -1/2 (pow (sqrt 1.0) 2)) into (* -1/2 (pow (sqrt 1.0) 2)) 2.424 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.425 * [backup-simplify]: Simplify (+ 0 0) into 0 2.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.426 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.426 * [backup-simplify]: Simplify (- 0) into 0 2.426 * [backup-simplify]: Simplify (+ 0 0) into 0 2.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 (sqrt 1.0)) (* 0 1)))) into 0 2.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 2.428 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.430 * [backup-simplify]: Simplify (+ 0 0) into 0 2.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.431 * [backup-simplify]: Simplify (- 0) into 0 2.431 * [backup-simplify]: Simplify (+ 0 0) into 0 2.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 0) (+ (* 0 (sqrt 1.0)) (* 0 1))))) into 0 2.442 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1/2 (pow (sqrt 1.0) 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/8 (pow (sqrt 1.0) 4)) 2.443 * [backup-simplify]: Simplify (* -1/8 (pow (sqrt 1.0) 4)) into (* -1/8 (pow (sqrt 1.0) 4)) 2.446 * [backup-simplify]: Simplify (+ (* (* -1/8 (pow (sqrt 1.0) 4)) (pow (/ 1 x) 3)) (+ (* (* -1/2 (pow (sqrt 1.0) 2)) (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 2.447 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- x)) (sqrt 1.0))) (sqrt (- (/ 1 (- x)) (sqrt 1.0)))) into (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) 2.447 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 2.447 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 2.447 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 2.447 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 2.447 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.447 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.447 * [taylor]: Taking taylor expansion of 1.0 in x 2.447 * [backup-simplify]: Simplify 1.0 into 1.0 2.447 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.448 * [taylor]: Taking taylor expansion of x in x 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 1 into 1 2.448 * [backup-simplify]: Simplify (/ 1 1) into 1 2.448 * [backup-simplify]: Simplify (+ 0 1) into 1 2.448 * [backup-simplify]: Simplify (- 1) into -1 2.449 * [backup-simplify]: Simplify (sqrt 0) into 0 2.449 * [backup-simplify]: Simplify (- 1) into -1 2.450 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.450 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 2.450 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.450 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.450 * [taylor]: Taking taylor expansion of 1.0 in x 2.450 * [backup-simplify]: Simplify 1.0 into 1.0 2.450 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.451 * [taylor]: Taking taylor expansion of x in x 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify 1 into 1 2.451 * [backup-simplify]: Simplify (/ 1 1) into 1 2.452 * [backup-simplify]: Simplify (- 1) into -1 2.452 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.452 * [backup-simplify]: Simplify (sqrt 0) into 0 2.453 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.453 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 2.453 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 2.453 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 2.453 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.453 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.453 * [taylor]: Taking taylor expansion of 1.0 in x 2.453 * [backup-simplify]: Simplify 1.0 into 1.0 2.454 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.454 * [taylor]: Taking taylor expansion of x in x 2.454 * [backup-simplify]: Simplify 0 into 0 2.454 * [backup-simplify]: Simplify 1 into 1 2.455 * [backup-simplify]: Simplify (/ 1 1) into 1 2.455 * [backup-simplify]: Simplify (+ 0 1) into 1 2.456 * [backup-simplify]: Simplify (- 1) into -1 2.456 * [backup-simplify]: Simplify (sqrt 0) into 0 2.456 * [backup-simplify]: Simplify (- 1) into -1 2.458 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.458 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 2.458 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.458 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.458 * [taylor]: Taking taylor expansion of 1.0 in x 2.458 * [backup-simplify]: Simplify 1.0 into 1.0 2.459 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.459 * [taylor]: Taking taylor expansion of x in x 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify 1 into 1 2.460 * [backup-simplify]: Simplify (/ 1 1) into 1 2.460 * [backup-simplify]: Simplify (- 1) into -1 2.460 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.461 * [backup-simplify]: Simplify (sqrt 0) into 0 2.462 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.463 * [backup-simplify]: Simplify (* 0 0) into 0 2.463 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 2.463 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.464 * [backup-simplify]: Simplify (- 0) into 0 2.465 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.469 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 2.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.471 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.472 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.477 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 2.483 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 0))) into (- +nan.0) 2.483 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.485 * [backup-simplify]: Simplify (- 0) into 0 2.485 * [backup-simplify]: Simplify (+ 0 0) into 0 2.493 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.494 * [backup-simplify]: Simplify (+ 0 0) into 0 2.495 * [backup-simplify]: Simplify (- 0) into 0 2.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (sqrt 1.0) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2.510 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2.512 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2.513 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.514 * [backup-simplify]: Simplify (- 0) into 0 2.514 * [backup-simplify]: Simplify (+ 0 0) into 0 2.523 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (- (sqrt 1.0) +nan.0)) 2) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 2.524 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.525 * [backup-simplify]: Simplify (+ 0 0) into 0 2.525 * [backup-simplify]: Simplify (- 0) into 0 2.543 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 2) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 2.570 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0)))))) (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 2.579 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 2.589 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- +nan.0))))))))))) 2.589 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.590 * [backup-simplify]: Simplify (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) into (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) 2.590 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in (x) around 0 2.590 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 2.590 * [taylor]: Taking taylor expansion of x in x 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify 1 into 1 2.590 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 2.590 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 2.590 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 2.590 * [taylor]: Taking taylor expansion of x in x 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify 1 into 1 2.590 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.590 * [taylor]: Taking taylor expansion of 1.0 in x 2.590 * [backup-simplify]: Simplify 1.0 into 1.0 2.590 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.591 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 2.591 * [taylor]: Taking taylor expansion of x in x 2.591 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify 1 into 1 2.591 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.591 * [taylor]: Taking taylor expansion of 1.0 in x 2.591 * [backup-simplify]: Simplify 1.0 into 1.0 2.591 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.592 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 2.592 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.593 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.594 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 2.596 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 2.596 * [backup-simplify]: Simplify (- 0) into 0 2.596 * [backup-simplify]: Simplify (+ 1 0) into 1 2.597 * [backup-simplify]: Simplify (+ 1 0) into 1 2.599 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 2.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 2.599 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 2.599 * [taylor]: Taking taylor expansion of x in x 2.599 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify 1 into 1 2.600 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 2.600 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 2.600 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 2.600 * [taylor]: Taking taylor expansion of x in x 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify 1 into 1 2.600 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.600 * [taylor]: Taking taylor expansion of 1.0 in x 2.600 * [backup-simplify]: Simplify 1.0 into 1.0 2.600 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.600 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 2.600 * [taylor]: Taking taylor expansion of x in x 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify 1 into 1 2.600 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.600 * [taylor]: Taking taylor expansion of 1.0 in x 2.600 * [backup-simplify]: Simplify 1.0 into 1.0 2.601 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.602 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 2.602 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.603 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.604 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 2.606 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 2.606 * [backup-simplify]: Simplify (- 0) into 0 2.606 * [backup-simplify]: Simplify (+ 1 0) into 1 2.607 * [backup-simplify]: Simplify (+ 1 0) into 1 2.609 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 2.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 2.612 * [backup-simplify]: Simplify (+ 0 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 2.613 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 2.614 * [backup-simplify]: Simplify (+ 1 0) into 1 2.614 * [backup-simplify]: Simplify 1 into 1 2.615 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.615 * [backup-simplify]: Simplify (- 0) into 0 2.616 * [backup-simplify]: Simplify (+ 0 0) into 0 2.617 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.617 * [backup-simplify]: Simplify (+ 0 0) into 0 2.619 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 2.626 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 2.631 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) 2.636 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 2.640 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) (pow x 2)) (+ (* 1 x) (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) 2.641 * [backup-simplify]: Simplify (+ (/ 1 x) (* (sqrt (+ (/ 1 x) (sqrt 1.0))) (sqrt (- (/ 1 x) (sqrt 1.0))))) into (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) 2.641 * [approximate]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 2.641 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 2.641 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 2.641 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 2.641 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 2.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.641 * [taylor]: Taking taylor expansion of x in x 2.641 * [backup-simplify]: Simplify 0 into 0 2.641 * [backup-simplify]: Simplify 1 into 1 2.641 * [backup-simplify]: Simplify (/ 1 1) into 1 2.641 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.641 * [taylor]: Taking taylor expansion of 1.0 in x 2.641 * [backup-simplify]: Simplify 1.0 into 1.0 2.642 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.642 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.642 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.642 * [taylor]: Taking taylor expansion of 1.0 in x 2.642 * [backup-simplify]: Simplify 1.0 into 1.0 2.643 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.643 * [taylor]: Taking taylor expansion of x in x 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify 1 into 1 2.643 * [backup-simplify]: Simplify (/ 1 1) into 1 2.644 * [backup-simplify]: Simplify (+ 1 0) into 1 2.644 * [backup-simplify]: Simplify (+ 0 1) into 1 2.644 * [backup-simplify]: Simplify (* 1 1) into 1 2.644 * [backup-simplify]: Simplify (sqrt 1) into 1 2.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.645 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.646 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.647 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.649 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 2.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.649 * [taylor]: Taking taylor expansion of x in x 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify 1 into 1 2.650 * [backup-simplify]: Simplify (/ 1 1) into 1 2.650 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 2.650 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 2.650 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 2.650 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 2.650 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.650 * [taylor]: Taking taylor expansion of x in x 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify 1 into 1 2.650 * [backup-simplify]: Simplify (/ 1 1) into 1 2.650 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.650 * [taylor]: Taking taylor expansion of 1.0 in x 2.650 * [backup-simplify]: Simplify 1.0 into 1.0 2.650 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.651 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.651 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.651 * [taylor]: Taking taylor expansion of 1.0 in x 2.651 * [backup-simplify]: Simplify 1.0 into 1.0 2.651 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.652 * [taylor]: Taking taylor expansion of x in x 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 1 into 1 2.652 * [backup-simplify]: Simplify (/ 1 1) into 1 2.653 * [backup-simplify]: Simplify (+ 1 0) into 1 2.653 * [backup-simplify]: Simplify (+ 0 1) into 1 2.653 * [backup-simplify]: Simplify (* 1 1) into 1 2.653 * [backup-simplify]: Simplify (sqrt 1) into 1 2.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.655 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.656 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.656 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.658 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 2.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.659 * [taylor]: Taking taylor expansion of x in x 2.659 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify 1 into 1 2.659 * [backup-simplify]: Simplify (/ 1 1) into 1 2.660 * [backup-simplify]: Simplify (+ 1 1) into 2 2.660 * [backup-simplify]: Simplify 2 into 2 2.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.660 * [backup-simplify]: Simplify (+ 0 0) into 0 2.660 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.661 * [backup-simplify]: Simplify (+ 0 0) into 0 2.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.662 * [backup-simplify]: Simplify (- 0) into 0 2.662 * [backup-simplify]: Simplify (+ 0 0) into 0 2.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) (sqrt 1.0)) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 2.682 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 2.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.686 * [backup-simplify]: Simplify (+ (* -1/2 (pow (sqrt 1.0) 2)) 0) into (- (* 1/2 (pow (sqrt 1.0) 2))) 2.688 * [backup-simplify]: Simplify (- (* 1/2 (pow (sqrt 1.0) 2))) into (- (* 1/2 (pow (sqrt 1.0) 2))) 2.690 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.691 * [backup-simplify]: Simplify (+ 0 0) into 0 2.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.693 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.694 * [backup-simplify]: Simplify (- 0) into 0 2.694 * [backup-simplify]: Simplify (+ 0 0) into 0 2.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 (sqrt 1.0)) (* 0 1)))) into 0 2.698 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 2.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.699 * [backup-simplify]: Simplify (+ 0 0) into 0 2.699 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.702 * [backup-simplify]: Simplify (+ 0 0) into 0 2.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.704 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.704 * [backup-simplify]: Simplify (- 0) into 0 2.705 * [backup-simplify]: Simplify (+ 0 0) into 0 2.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 0) (+ (* 0 (sqrt 1.0)) (* 0 1))))) into 0 2.714 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1/2 (pow (sqrt 1.0) 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/8 (pow (sqrt 1.0) 4)) 2.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.718 * [backup-simplify]: Simplify (+ (* -1/8 (pow (sqrt 1.0) 4)) 0) into (- (* 1/8 (pow (sqrt 1.0) 4))) 2.721 * [backup-simplify]: Simplify (- (* 1/8 (pow (sqrt 1.0) 4))) into (- (* 1/8 (pow (sqrt 1.0) 4))) 2.726 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (pow (sqrt 1.0) 4))) (pow (/ 1 x) 3)) (+ (* (- (* 1/2 (pow (sqrt 1.0) 2))) (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 2.727 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* (sqrt (+ (/ 1 (- x)) (sqrt 1.0))) (sqrt (- (/ 1 (- x)) (sqrt 1.0))))) into (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) 2.727 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 2.727 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 2.727 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 2.727 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 2.727 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 2.727 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.727 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.728 * [taylor]: Taking taylor expansion of 1.0 in x 2.728 * [backup-simplify]: Simplify 1.0 into 1.0 2.728 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.729 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.729 * [taylor]: Taking taylor expansion of x in x 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 1 into 1 2.729 * [backup-simplify]: Simplify (/ 1 1) into 1 2.730 * [backup-simplify]: Simplify (+ 0 1) into 1 2.730 * [backup-simplify]: Simplify (- 1) into -1 2.731 * [backup-simplify]: Simplify (sqrt 0) into 0 2.731 * [backup-simplify]: Simplify (- 1) into -1 2.732 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.732 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 2.732 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.732 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.732 * [taylor]: Taking taylor expansion of 1.0 in x 2.732 * [backup-simplify]: Simplify 1.0 into 1.0 2.733 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.734 * [taylor]: Taking taylor expansion of x in x 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify 1 into 1 2.734 * [backup-simplify]: Simplify (/ 1 1) into 1 2.734 * [backup-simplify]: Simplify (- 1) into -1 2.735 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.735 * [backup-simplify]: Simplify (sqrt 0) into 0 2.736 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.736 * [taylor]: Taking taylor expansion of x in x 2.736 * [backup-simplify]: Simplify 0 into 0 2.736 * [backup-simplify]: Simplify 1 into 1 2.737 * [backup-simplify]: Simplify (/ 1 1) into 1 2.737 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 2.737 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 2.737 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 2.737 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 2.737 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.737 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.737 * [taylor]: Taking taylor expansion of 1.0 in x 2.737 * [backup-simplify]: Simplify 1.0 into 1.0 2.737 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.738 * [taylor]: Taking taylor expansion of x in x 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (/ 1 1) into 1 2.739 * [backup-simplify]: Simplify (+ 0 1) into 1 2.740 * [backup-simplify]: Simplify (- 1) into -1 2.740 * [backup-simplify]: Simplify (sqrt 0) into 0 2.740 * [backup-simplify]: Simplify (- 1) into -1 2.742 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.742 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 2.742 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.742 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.742 * [taylor]: Taking taylor expansion of 1.0 in x 2.742 * [backup-simplify]: Simplify 1.0 into 1.0 2.742 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.743 * [taylor]: Taking taylor expansion of x in x 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify 1 into 1 2.743 * [backup-simplify]: Simplify (/ 1 1) into 1 2.744 * [backup-simplify]: Simplify (- 1) into -1 2.744 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.745 * [backup-simplify]: Simplify (sqrt 0) into 0 2.746 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.746 * [taylor]: Taking taylor expansion of x in x 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify (/ 1 1) into 1 2.747 * [backup-simplify]: Simplify (* 0 0) into 0 2.747 * [backup-simplify]: Simplify (+ 0 0) into 0 2.747 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 2.748 * [backup-simplify]: Simplify (- 1) into -1 2.749 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.749 * [backup-simplify]: Simplify -1 into -1 2.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.750 * [backup-simplify]: Simplify (- 0) into 0 2.751 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.755 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 2.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.756 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.757 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.762 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 2.767 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 0))) into (- +nan.0) 2.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.768 * [backup-simplify]: Simplify (- 0) into 0 2.769 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 2.770 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.771 * [backup-simplify]: Simplify (- 0) into 0 2.771 * [backup-simplify]: Simplify (+ 0 0) into 0 2.779 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.781 * [backup-simplify]: Simplify (+ 0 0) into 0 2.781 * [backup-simplify]: Simplify (- 0) into 0 2.792 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (sqrt 1.0) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2.808 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.810 * [backup-simplify]: Simplify (- 0) into 0 2.814 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2.817 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2.821 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (/ 1 (- x))) (+ (- +nan.0) (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ +nan.0 (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (* +nan.0 (/ 1 x))))))) 2.821 * * * [progress]: simplifying candidates 2.832 * [simplify]: Simplifying: (expm1 (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log1p (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (+ (log (sqrt (+ x (sqrt 1.0)))) (log (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (* (sqrt (- x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))))) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (* (cbrt (- x (sqrt 1.0))) (cbrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) 1) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (expm1 (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log1p (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (exp x) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (exp (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (* (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3)) (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (- (* x x) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- +nan.0))))))))))) (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (- (* 2 x) (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- x (+ +nan.0 (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (* +nan.0 (/ 1 x))))))) 2.836 * * [simplify]: Extracting # 0 : cost 0 2.836 * * [simplify]: Extracting # 1 : cost 0 2.837 * * [simplify]: Extracting # 2 : cost 0 2.837 * * [simplify]: Extracting # 3 : cost 0 2.837 * * [simplify]: Extracting # 4 : cost 0 2.838 * * [simplify]: Extracting # 5 : cost 0 2.838 * * [simplify]: Extracting # 6 : cost 0 2.838 * * [simplify]: Extracting # 7 : cost 0 2.839 * * [simplify]: Extracting # 8 : cost 0 2.839 * * [simplify]: Extracting # 9 : cost 0 2.839 * * [simplify]: Extracting # 10 : cost 0 2.840 * * [simplify]: Extracting # 11 : cost 0 2.840 * * [simplify]: Extracting # 12 : cost 0 2.841 * * [simplify]: Extracting # 13 : cost 0 2.841 * * [simplify]: iteration 0 : 156 enodes (cost 1202 ) 2.918 * * [simplify]: Extracting # 0 : cost 0 2.919 * * [simplify]: Extracting # 1 : cost 0 2.920 * * [simplify]: Extracting # 2 : cost 0 2.921 * * [simplify]: Extracting # 3 : cost 0 2.921 * * [simplify]: Extracting # 4 : cost 0 2.922 * * [simplify]: iteration 1 : 380 enodes (cost 1007 ) 3.183 * * [simplify]: Extracting # 0 : cost 0 3.185 * * [simplify]: Extracting # 1 : cost 0 3.188 * * [simplify]: Extracting # 2 : cost 0 3.190 * * [simplify]: Extracting # 3 : cost 0 3.198 * * [simplify]: iteration 2 : 1090 enodes (cost 951 ) 4.360 * * [simplify]: Extracting # 0 : cost 0 4.365 * * [simplify]: Extracting # 1 : cost 0 4.370 * * [simplify]: Extracting # 2 : cost 0 4.374 * * [simplify]: Extracting # 3 : cost 0 4.378 * * [simplify]: Extracting # 4 : cost 0 4.385 * * [simplify]: iteration 3 : 3746 enodes (cost 932 ) 5.522 * * [simplify]: Extracting # 0 : cost 0 5.531 * * [simplify]: Extracting # 1 : cost 0 5.541 * * [simplify]: Extracting # 2 : cost 0 5.549 * * [simplify]: Extracting # 3 : cost 0 5.555 * * [simplify]: iteration done: 5000 enodes (cost 925 ) 5.555 * [simplify]: Simplified to: (expm1 (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log1p (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (- (* x x) 1.0) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (- (* x x) 1.0) (log (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))) (log (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3) (- (* x x) 1.0) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (hypot (pow x 3/2) (pow (sqrt 1.0) 3/2)) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (* (- x (sqrt 1.0)) x) 1.0)) (sqrt (fma x (+ x (sqrt 1.0)) 1.0))) (* (hypot (pow x 3/2) (pow (sqrt 1.0) 3/2)) (hypot (sqrt (- 1.0)) x)) (* (sqrt (+ (* (- x (sqrt 1.0)) x) 1.0)) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (pow x 3) (pow (sqrt 1.0) 3))) (hypot (sqrt (- 1.0)) x)) (* (sqrt (- x (sqrt 1.0))) (sqrt (fma x (+ x (sqrt 1.0)) 1.0))) (- (* x x) 1.0) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (fabs (cbrt (- x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (hypot (sqrt (- 1.0)) x) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- x (sqrt 1.0))) (hypot (pow x 3/2) (pow (sqrt 1.0) 3/2))) (* (hypot (sqrt (- 1.0)) x) (sqrt (- x (sqrt 1.0)))) (expm1 (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log1p (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (* (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (pow (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) 3) (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3)) (fma x x (- (* x (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) 1.0)) (+ 0 1.0) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (fma (/ (pow x 4) (pow (sqrt (- 1.0)) 3)) -1/8 (fma 1/2 (/ (* x x) (sqrt (- 1.0))) (sqrt (- 1.0)))) (fma -1/8 (/ (* 1.0 1.0) (pow x 3)) (fma -1/2 (/ 1.0 x) x)) (- (- (fma (/ +nan.0 x) (- (/ 1.0 x) (/ (sqrt 1.0) x)) (/ +nan.0 (* x x))) (fma +nan.0 (- (/ 1 x) (/ (sqrt 1.0) x)) +nan.0))) (fma 1/2 (/ (* x x) (sqrt (- 1.0))) (+ x (sqrt (- 1.0)))) (fma -1/2 (/ 1.0 x) (fma x 2 (* -1/8 (/ (* 1.0 1.0) (pow x 3))))) (- x (fma +nan.0 (- (/ 1 x) (/ (sqrt 1.0) x)) +nan.0)) 5.556 * * * [progress]: adding candidates to table 5.782 * [progress]: [Phase 3 of 3] Extracting. 5.785 * [simplify]: Simplifying: (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) 5.785 * * [simplify]: Extracting # 0 : cost 0 5.785 * * [simplify]: Extracting # 1 : cost 0 5.785 * * [simplify]: Extracting # 2 : cost 0 5.785 * * [simplify]: Extracting # 3 : cost 0 5.785 * * [simplify]: Extracting # 4 : cost 0 5.785 * * [simplify]: Extracting # 5 : cost 0 5.785 * * [simplify]: Extracting # 6 : cost 0 5.785 * * [simplify]: Extracting # 7 : cost 0 5.785 * * [simplify]: Extracting # 8 : cost 0 5.785 * * [simplify]: iteration 0 : 10 enodes (cost 14 ) 5.786 * * [simplify]: Extracting # 0 : cost 0 5.786 * * [simplify]: iteration 1 : 13 enodes (cost 14 ) 5.787 * * [simplify]: Extracting # 0 : cost 0 5.787 * * [simplify]: iteration done: 13 enodes (cost 14 ) 5.787 * [simplify]: Simplified to: (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) 9.180 * [regime-testing]: Baseline error score: 0.043255406925865734 9.182 * [regime-testing]: Oracle error score: 0.043255406925865734 9.182 * [regime-testing]: End program error score: 0.043255406925865734