31.871 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.088 * * * [progress]: [2/2] Setting up program. 0.092 * [progress]: [Phase 2 of 3] Improving. 0.092 * [simplify]: Simplifying: (log (+ x (sqrt (- (* x x) 1.0)))) 0.092 * * [simplify]: Extracting # 0 : cost 0 0.092 * * [simplify]: Extracting # 1 : cost 0 0.092 * * [simplify]: Extracting # 2 : cost 0 0.092 * * [simplify]: Extracting # 3 : cost 0 0.092 * * [simplify]: Extracting # 4 : cost 0 0.092 * * [simplify]: Extracting # 5 : cost 0 0.092 * * [simplify]: Extracting # 6 : cost 0 0.092 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.095 * * [simplify]: Extracting # 0 : cost 0 0.095 * * [simplify]: Extracting # 1 : cost 0 0.095 * * [simplify]: Extracting # 2 : cost 0 0.095 * * [simplify]: iteration 1 : 11 enodes (cost 9 ) 0.097 * * [simplify]: Extracting # 0 : cost 0 0.097 * * [simplify]: iteration 2 : 12 enodes (cost 9 ) 0.100 * * [simplify]: Extracting # 0 : cost 0 0.100 * * [simplify]: iteration done: 12 enodes (cost 9 ) 0.100 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1.0)))) 0.101 * * [progress]: iteration 1 / 4 0.101 * * * [progress]: picking best candidate 0.104 * * * * [pick]: Picked # 0.104 * * * [progress]: localizing error 0.115 * * * [progress]: generating rewritten candidates 0.116 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.137 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.185 * * * [progress]: generating series expansions 0.185 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.185 * [backup-simplify]: Simplify (sqrt (- (* x x) 1.0)) into (sqrt (- (pow x 2) 1.0)) 0.185 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.185 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.185 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [taylor]: Taking taylor expansion of 1.0 in x 0.185 * [backup-simplify]: Simplify 1.0 into 1.0 0.186 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.187 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.187 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.188 * [backup-simplify]: Simplify (- 0) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.189 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.189 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [backup-simplify]: Simplify 1.0 into 1.0 0.189 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.190 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.191 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.191 * [backup-simplify]: Simplify (- 0) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.193 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (* 1 1) into 1 0.193 * [backup-simplify]: Simplify (- 0) into 0 0.194 * [backup-simplify]: Simplify (+ 1 0) into 1 0.196 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.198 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- 1.0))) into (/ 1/2 (sqrt (- 1.0))) 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- 1.0))))))) (* 2 (sqrt (- 1.0)))) into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [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)) 0.209 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (- 1.0)) 3)) into (/ -1/8 (pow (sqrt (- 1.0)) 3)) 0.212 * [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)))) 0.212 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.212 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.212 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.212 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (* 1 1) into 1 0.213 * [backup-simplify]: Simplify (/ 1 1) into 1 0.213 * [taylor]: Taking taylor expansion of 1.0 in x 0.213 * [backup-simplify]: Simplify 1.0 into 1.0 0.213 * [backup-simplify]: Simplify (+ 1 0) into 1 0.213 * [backup-simplify]: Simplify (sqrt 1) into 1 0.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.215 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.215 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (* 1 1) into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [taylor]: Taking taylor expansion of 1.0 in x 0.215 * [backup-simplify]: Simplify 1.0 into 1.0 0.216 * [backup-simplify]: Simplify (+ 1 0) into 1 0.216 * [backup-simplify]: Simplify (sqrt 1) into 1 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.220 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.222 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.222 * [backup-simplify]: Simplify -0.5 into -0.5 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (- 0) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.228 * [backup-simplify]: Simplify -0.125 into -0.125 0.228 * [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))))) 0.228 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.228 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 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 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.229 * [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 0.229 * [backup-simplify]: Simplify (+ 1 0) into 1 0.230 * [backup-simplify]: Simplify (sqrt 1) into 1 0.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.231 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.231 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (* 1 1) into 1 0.232 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [taylor]: Taking taylor expansion of 1.0 in x 0.232 * [backup-simplify]: Simplify 1.0 into 1.0 0.232 * [backup-simplify]: Simplify (+ 1 0) into 1 0.232 * [backup-simplify]: Simplify (sqrt 1) into 1 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [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) 0.238 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.238 * [backup-simplify]: Simplify -0.5 into -0.5 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (- 0) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (- 0) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.244 * [backup-simplify]: Simplify -0.125 into -0.125 0.245 * [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) 0.245 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.245 * [backup-simplify]: Simplify (+ x (sqrt (- (* x x) 1.0))) into (+ (sqrt (- (pow x 2) 1.0)) x) 0.245 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 0.245 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.245 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.245 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.245 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [taylor]: Taking taylor expansion of 1.0 in x 0.245 * [backup-simplify]: Simplify 1.0 into 1.0 0.245 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.246 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.246 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.246 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.247 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.247 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.247 * [taylor]: Taking taylor expansion of x in x 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [taylor]: Taking taylor expansion of 1.0 in x 0.247 * [backup-simplify]: Simplify 1.0 into 1.0 0.248 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.248 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.249 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (+ (sqrt (- 1.0)) 0) into (sqrt (- 1.0)) 0.251 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.251 * [backup-simplify]: Simplify (+ 0 1) into 1 0.251 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (* 1 1) into 1 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 1 0) into 1 0.254 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.256 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt (- 1.0))) 0) into (* 1/2 (/ 1 (sqrt (- 1.0)))) 0.257 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.259 * [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)))) 0.259 * [backup-simplify]: Simplify (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0))) into (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) 0.259 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.259 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.259 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.259 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (* 1 1) into 1 0.260 * [backup-simplify]: Simplify (/ 1 1) into 1 0.260 * [taylor]: Taking taylor expansion of 1.0 in x 0.260 * [backup-simplify]: Simplify 1.0 into 1.0 0.263 * [backup-simplify]: Simplify (+ 1 0) into 1 0.264 * [backup-simplify]: Simplify (sqrt 1) into 1 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.266 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.266 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (* 1 1) into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [taylor]: Taking taylor expansion of 1.0 in x 0.266 * [backup-simplify]: Simplify 1.0 into 1.0 0.267 * [backup-simplify]: Simplify (+ 1 0) into 1 0.267 * [backup-simplify]: Simplify (sqrt 1) into 1 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [backup-simplify]: Simplify (+ 1 1) into 2 0.269 * [backup-simplify]: Simplify 2 into 2 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.272 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.274 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.275 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ -0.125 0) into (- 0.125) 0.284 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.284 * [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))))) 0.285 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0))) into (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) 0.285 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.285 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.285 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.285 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (* 1 1) into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [taylor]: Taking taylor expansion of 1.0 in x 0.285 * [backup-simplify]: Simplify 1.0 into 1.0 0.286 * [backup-simplify]: Simplify (+ 1 0) into 1 0.286 * [backup-simplify]: Simplify (sqrt 1) into 1 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.288 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.288 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (* 1 1) into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [taylor]: Taking taylor expansion of 1.0 in x 0.288 * [backup-simplify]: Simplify 1.0 into 1.0 0.289 * [backup-simplify]: Simplify (+ 1 0) into 1 0.289 * [backup-simplify]: Simplify (sqrt 1) into 1 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.290 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [backup-simplify]: Simplify (- 1) into -1 0.291 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.294 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.296 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- 0) into 0 0.297 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.298 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (- 0) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify (+ -0.125 0) into (- 0.125) 0.307 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.125)) (* 2 (* -0.5 0)))) (* 2 1)) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify (+ -0.0625 0) into (- 0.0625) 0.318 * [backup-simplify]: Simplify (- 0.0625) into (- 0.0625) 0.320 * [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)))) 0.320 * * * [progress]: simplifying candidates 0.320 * [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)))) 0.321 * * [simplify]: Extracting # 0 : cost 0 0.321 * * [simplify]: Extracting # 1 : cost 0 0.321 * * [simplify]: Extracting # 2 : cost 0 0.322 * * [simplify]: Extracting # 3 : cost 0 0.322 * * [simplify]: Extracting # 4 : cost 0 0.322 * * [simplify]: Extracting # 5 : cost 0 0.322 * * [simplify]: Extracting # 6 : cost 0 0.322 * * [simplify]: Extracting # 7 : cost 0 0.322 * * [simplify]: Extracting # 8 : cost 0 0.322 * * [simplify]: Extracting # 9 : cost 0 0.322 * * [simplify]: iteration 0 : 95 enodes (cost 483 ) 0.345 * * [simplify]: Extracting # 0 : cost 0 0.345 * * [simplify]: Extracting # 1 : cost 0 0.346 * * [simplify]: Extracting # 2 : cost 0 0.346 * * [simplify]: Extracting # 3 : cost 0 0.346 * * [simplify]: iteration 1 : 244 enodes (cost 425 ) 0.457 * * [simplify]: Extracting # 0 : cost 0 0.458 * * [simplify]: Extracting # 1 : cost 0 0.459 * * [simplify]: Extracting # 2 : cost 0 0.460 * * [simplify]: Extracting # 3 : cost 0 0.461 * * [simplify]: Extracting # 4 : cost 0 0.462 * * [simplify]: iteration 2 : 969 enodes (cost 392 ) 0.954 * * [simplify]: Extracting # 0 : cost 0 0.972 * * [simplify]: Extracting # 1 : cost 0 0.985 * * [simplify]: Extracting # 2 : cost 0 0.997 * * [simplify]: Extracting # 3 : cost 0 1.009 * * [simplify]: Extracting # 4 : cost 0 1.020 * * [simplify]: iteration done: 5000 enodes (cost 356 ) 1.021 * [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 (+ (hypot (sqrt (- 1.0)) x) x)) (log1p (+ (hypot (sqrt (- 1.0)) x) x)) (exp (+ x (hypot (sqrt (- 1.0)) x))) (log (+ (hypot (sqrt (- 1.0)) x) x)) (exp (+ x (hypot (sqrt (- 1.0)) x))) (* (cbrt (+ (hypot (sqrt (- 1.0)) x) x)) (cbrt (+ (hypot (sqrt (- 1.0)) x) x))) (cbrt (+ (hypot (sqrt (- 1.0)) x) x)) (pow (+ (hypot (sqrt (- 1.0)) x) x) 3) (sqrt (+ (hypot (sqrt (- 1.0)) x) x)) (sqrt (+ (hypot (sqrt (- 1.0)) x) x)) (+ (pow x 3) (pow (hypot (sqrt (- 1.0)) x) 3)) (- (- (* 2 (* x x)) 1.0) (* (hypot (sqrt (- 1.0)) x) x)) (+ 0 1.0) (- x (hypot (sqrt (- 1.0)) x)) (+ (hypot (sqrt (- 1.0)) x) x) (fma (/ (pow x 4) (pow (sqrt (- 1.0)) 3)) -1/8 (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (sqrt (- 1.0)))) (- (- x (/ 0.5 x)) (/ 0.125 (pow x 3))) (+ (/ 0.5 x) (- (/ 0.125 (pow x 3)) 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))) 1.021 * * * [progress]: adding candidates to table 1.213 * * [progress]: iteration 2 / 4 1.213 * * * [progress]: picking best candidate 1.217 * * * * [pick]: Picked # 1.217 * * * [progress]: localizing error 1.241 * * * [progress]: generating rewritten candidates 1.241 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 1.330 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 2) 1.345 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 1.353 * * * [progress]: generating series expansions 1.354 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 1.354 * [backup-simplify]: Simplify (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) into (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) 1.354 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 1.354 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.354 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.354 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.355 * [taylor]: Taking taylor expansion of 1.0 in x 1.355 * [backup-simplify]: Simplify 1.0 into 1.0 1.355 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.355 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.355 * [taylor]: Taking taylor expansion of 1.0 in x 1.355 * [backup-simplify]: Simplify 1.0 into 1.0 1.356 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.357 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 1.357 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.358 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.359 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 1.364 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.364 * [backup-simplify]: Simplify (- 0) into 0 1.364 * [backup-simplify]: Simplify (+ 1 0) into 1 1.365 * [backup-simplify]: Simplify (+ 1 0) into 1 1.366 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 1.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 1.367 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.367 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.367 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.367 * [taylor]: Taking taylor expansion of x in x 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 1 into 1 1.367 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.367 * [taylor]: Taking taylor expansion of 1.0 in x 1.367 * [backup-simplify]: Simplify 1.0 into 1.0 1.368 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.368 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.368 * [taylor]: Taking taylor expansion of x in x 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify 1 into 1 1.368 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.368 * [taylor]: Taking taylor expansion of 1.0 in x 1.368 * [backup-simplify]: Simplify 1.0 into 1.0 1.368 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.369 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 1.370 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.371 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.372 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 1.373 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.374 * [backup-simplify]: Simplify (- 0) into 0 1.374 * [backup-simplify]: Simplify (+ 1 0) into 1 1.374 * [backup-simplify]: Simplify (+ 1 0) into 1 1.376 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 1.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 1.378 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.378 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.379 * [backup-simplify]: Simplify (- 0) into 0 1.380 * [backup-simplify]: Simplify (+ 0 0) into 0 1.380 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.380 * [backup-simplify]: Simplify (+ 0 0) into 0 1.381 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 1.385 * [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)))) 1.387 * [backup-simplify]: Simplify (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 1.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.388 * [backup-simplify]: Simplify (- 0) into 0 1.388 * [backup-simplify]: Simplify (+ 0 0) into 0 1.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.389 * [backup-simplify]: Simplify (+ 0 0) into 0 1.391 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- (sqrt 1.0)))))) into 0 1.392 * [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 1.392 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.394 * [backup-simplify]: Simplify (- 0) into 0 1.394 * [backup-simplify]: Simplify (+ 0 0) into 0 1.395 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.395 * [backup-simplify]: Simplify (+ 0 0) into 0 1.396 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- (sqrt 1.0))))))) into 0 1.405 * [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)) 1.408 * [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)) 1.415 * [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)))) 1.415 * [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)))) 1.416 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.416 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.416 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.416 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.416 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.416 * [taylor]: Taking taylor expansion of x in x 1.416 * [backup-simplify]: Simplify 0 into 0 1.416 * [backup-simplify]: Simplify 1 into 1 1.416 * [backup-simplify]: Simplify (/ 1 1) into 1 1.416 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.416 * [taylor]: Taking taylor expansion of 1.0 in x 1.416 * [backup-simplify]: Simplify 1.0 into 1.0 1.416 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.417 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.417 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.417 * [taylor]: Taking taylor expansion of 1.0 in x 1.417 * [backup-simplify]: Simplify 1.0 into 1.0 1.417 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify 1 into 1 1.418 * [backup-simplify]: Simplify (/ 1 1) into 1 1.418 * [backup-simplify]: Simplify (+ 1 0) into 1 1.418 * [backup-simplify]: Simplify (+ 0 1) into 1 1.419 * [backup-simplify]: Simplify (* 1 1) into 1 1.419 * [backup-simplify]: Simplify (sqrt 1) into 1 1.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.420 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.421 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.422 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.424 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 1.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.425 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.425 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.425 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.425 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.425 * [taylor]: Taking taylor expansion of x in x 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 1 into 1 1.426 * [backup-simplify]: Simplify (/ 1 1) into 1 1.426 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.426 * [taylor]: Taking taylor expansion of 1.0 in x 1.426 * [backup-simplify]: Simplify 1.0 into 1.0 1.426 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.427 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.427 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.427 * [taylor]: Taking taylor expansion of 1.0 in x 1.427 * [backup-simplify]: Simplify 1.0 into 1.0 1.427 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.428 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 1 into 1 1.429 * [backup-simplify]: Simplify (/ 1 1) into 1 1.429 * [backup-simplify]: Simplify (+ 1 0) into 1 1.429 * [backup-simplify]: Simplify (+ 0 1) into 1 1.430 * [backup-simplify]: Simplify (* 1 1) into 1 1.430 * [backup-simplify]: Simplify (sqrt 1) into 1 1.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.432 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.433 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.434 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.437 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 1.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.438 * [backup-simplify]: Simplify 1 into 1 1.438 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.439 * [backup-simplify]: Simplify (+ 0 0) into 0 1.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify (- 0) into 0 1.441 * [backup-simplify]: Simplify (+ 0 0) into 0 1.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) (sqrt 1.0)) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 1.449 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 1.450 * [backup-simplify]: Simplify (* -1/2 (pow (sqrt 1.0) 2)) into (* -1/2 (pow (sqrt 1.0) 2)) 1.450 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.451 * [backup-simplify]: Simplify (+ 0 0) into 0 1.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.452 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.453 * [backup-simplify]: Simplify (- 0) into 0 1.453 * [backup-simplify]: Simplify (+ 0 0) into 0 1.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 (sqrt 1.0)) (* 0 1)))) into 0 1.455 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.456 * [backup-simplify]: Simplify (+ 0 0) into 0 1.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.461 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.461 * [backup-simplify]: Simplify (- 0) into 0 1.461 * [backup-simplify]: Simplify (+ 0 0) into 0 1.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 0) (+ (* 0 (sqrt 1.0)) (* 0 1))))) into 0 1.470 * [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)) 1.472 * [backup-simplify]: Simplify (* -1/8 (pow (sqrt 1.0) 4)) into (* -1/8 (pow (sqrt 1.0) 4)) 1.475 * [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)))) 1.476 * [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)))) 1.476 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.476 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.476 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.476 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.476 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.476 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.476 * [taylor]: Taking taylor expansion of 1.0 in x 1.476 * [backup-simplify]: Simplify 1.0 into 1.0 1.477 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.477 * [taylor]: Taking taylor expansion of x in x 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.478 * [backup-simplify]: Simplify (/ 1 1) into 1 1.478 * [backup-simplify]: Simplify (+ 0 1) into 1 1.478 * [backup-simplify]: Simplify (- 1) into -1 1.479 * [backup-simplify]: Simplify (sqrt 0) into 0 1.479 * [backup-simplify]: Simplify (- 1) into -1 1.481 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.481 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.481 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.481 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.481 * [taylor]: Taking taylor expansion of 1.0 in x 1.481 * [backup-simplify]: Simplify 1.0 into 1.0 1.481 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.482 * [taylor]: Taking taylor expansion of x in x 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 1 into 1 1.482 * [backup-simplify]: Simplify (/ 1 1) into 1 1.483 * [backup-simplify]: Simplify (- 1) into -1 1.483 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.483 * [backup-simplify]: Simplify (sqrt 0) into 0 1.485 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.485 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.485 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.485 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.485 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.485 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.485 * [taylor]: Taking taylor expansion of 1.0 in x 1.485 * [backup-simplify]: Simplify 1.0 into 1.0 1.485 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.486 * [taylor]: Taking taylor expansion of x in x 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [backup-simplify]: Simplify (/ 1 1) into 1 1.487 * [backup-simplify]: Simplify (+ 0 1) into 1 1.487 * [backup-simplify]: Simplify (- 1) into -1 1.487 * [backup-simplify]: Simplify (sqrt 0) into 0 1.488 * [backup-simplify]: Simplify (- 1) into -1 1.489 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.489 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.489 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.489 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.489 * [taylor]: Taking taylor expansion of 1.0 in x 1.489 * [backup-simplify]: Simplify 1.0 into 1.0 1.489 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.490 * [taylor]: Taking taylor expansion of x in x 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 1 into 1 1.490 * [backup-simplify]: Simplify (/ 1 1) into 1 1.491 * [backup-simplify]: Simplify (- 1) into -1 1.491 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.491 * [backup-simplify]: Simplify (sqrt 0) into 0 1.492 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.493 * [backup-simplify]: Simplify (* 0 0) into 0 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.495 * [backup-simplify]: Simplify (- 0) into 0 1.495 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.499 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 1.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.500 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.501 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.505 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 1.509 * [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) 1.510 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.511 * [backup-simplify]: Simplify (- 0) into 0 1.511 * [backup-simplify]: Simplify (+ 0 0) into 0 1.518 * [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))) 1.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.519 * [backup-simplify]: Simplify (+ 0 0) into 0 1.519 * [backup-simplify]: Simplify (- 0) into 0 1.528 * [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))) 1.540 * [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))) 1.543 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.544 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.545 * [backup-simplify]: Simplify (- 0) into 0 1.545 * [backup-simplify]: Simplify (+ 0 0) into 0 1.558 * [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))))) 1.559 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.561 * [backup-simplify]: Simplify (+ 0 0) into 0 1.561 * [backup-simplify]: Simplify (- 0) into 0 1.574 * [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))))) 1.604 * [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))))) 1.608 * [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))))) 1.615 * [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))))))))))) 1.615 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 2) 1.616 * [backup-simplify]: Simplify (sqrt (- x (sqrt 1.0))) into (sqrt (- x (sqrt 1.0))) 1.616 * [approximate]: Taking taylor expansion of (sqrt (- x (sqrt 1.0))) in (x) around 0 1.616 * [taylor]: Taking taylor expansion of (sqrt (- x (sqrt 1.0))) in x 1.616 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.616 * [taylor]: Taking taylor expansion of x in x 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.616 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.616 * [taylor]: Taking taylor expansion of 1.0 in x 1.616 * [backup-simplify]: Simplify 1.0 into 1.0 1.617 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.618 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.619 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.620 * [backup-simplify]: Simplify (sqrt (- (sqrt 1.0))) into (sqrt (- (sqrt 1.0))) 1.621 * [backup-simplify]: Simplify (- 0) into 0 1.621 * [backup-simplify]: Simplify (+ 1 0) into 1 1.624 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (sqrt 1.0))))) into (/ 1/2 (sqrt (- (sqrt 1.0)))) 1.624 * [taylor]: Taking taylor expansion of (sqrt (- x (sqrt 1.0))) in x 1.624 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.624 * [taylor]: Taking taylor expansion of x in x 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 1 into 1 1.624 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.624 * [taylor]: Taking taylor expansion of 1.0 in x 1.624 * [backup-simplify]: Simplify 1.0 into 1.0 1.625 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.626 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.627 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.629 * [backup-simplify]: Simplify (sqrt (- (sqrt 1.0))) into (sqrt (- (sqrt 1.0))) 1.629 * [backup-simplify]: Simplify (- 0) into 0 1.630 * [backup-simplify]: Simplify (+ 1 0) into 1 1.633 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (sqrt 1.0))))) into (/ 1/2 (sqrt (- (sqrt 1.0)))) 1.634 * [backup-simplify]: Simplify (sqrt (- (sqrt 1.0))) into (sqrt (- (sqrt 1.0))) 1.636 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- (sqrt 1.0)))) into (/ 1/2 (sqrt (- (sqrt 1.0)))) 1.637 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.637 * [backup-simplify]: Simplify (- 0) into 0 1.638 * [backup-simplify]: Simplify (+ 0 0) into 0 1.646 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (- (sqrt 1.0)))) 2) (+)) (* 2 (sqrt (- (sqrt 1.0))))) into (/ -1/8 (pow (sqrt (- (sqrt 1.0))) 3)) 1.649 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (- (sqrt 1.0))) 3)) into (/ -1/8 (pow (sqrt (- (sqrt 1.0))) 3)) 1.658 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt (- (sqrt 1.0))) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt (- (sqrt 1.0)))) x) (sqrt (- (sqrt 1.0))))) into (- (+ (sqrt (- (sqrt 1.0))) (* 1/2 (/ x (sqrt (- (sqrt 1.0)))))) (* 1/8 (/ (pow x 2) (pow (sqrt (- (sqrt 1.0))) 3)))) 1.658 * [backup-simplify]: Simplify (sqrt (- (/ 1 x) (sqrt 1.0))) into (sqrt (- (/ 1 x) (sqrt 1.0))) 1.658 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 x) (sqrt 1.0))) in (x) around 0 1.658 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) (sqrt 1.0))) in x 1.658 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.658 * [taylor]: Taking taylor expansion of x in x 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify 1 into 1 1.659 * [backup-simplify]: Simplify (/ 1 1) into 1 1.659 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.659 * [taylor]: Taking taylor expansion of 1.0 in x 1.659 * [backup-simplify]: Simplify 1.0 into 1.0 1.659 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.661 * [backup-simplify]: Simplify (+ 1 0) into 1 1.661 * [backup-simplify]: Simplify (sqrt 0) into 0 1.662 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.662 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) (sqrt 1.0))) in x 1.662 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.662 * [taylor]: Taking taylor expansion of x in x 1.663 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (/ 1 1) into 1 1.663 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.663 * [taylor]: Taking taylor expansion of 1.0 in x 1.663 * [backup-simplify]: Simplify 1.0 into 1.0 1.663 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.665 * [backup-simplify]: Simplify (+ 1 0) into 1 1.665 * [backup-simplify]: Simplify (sqrt 0) into 0 1.666 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.668 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.669 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.674 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 1.676 * [backup-simplify]: Simplify (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 1.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.677 * [backup-simplify]: Simplify (- 0) into 0 1.678 * [backup-simplify]: Simplify (+ 0 0) into 0 1.687 * [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))) 1.690 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.694 * [backup-simplify]: Simplify (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (pow (/ 1 x) 2)) (+ (* (* +nan.0 (- (sqrt 1.0) +nan.0)) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) 1.695 * [backup-simplify]: Simplify (sqrt (- (/ 1 (- x)) (sqrt 1.0))) into (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) 1.695 * [approximate]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.695 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.695 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.695 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.695 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.695 * [taylor]: Taking taylor expansion of 1.0 in x 1.695 * [backup-simplify]: Simplify 1.0 into 1.0 1.696 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.696 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.696 * [taylor]: Taking taylor expansion of x in x 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify 1 into 1 1.697 * [backup-simplify]: Simplify (/ 1 1) into 1 1.697 * [backup-simplify]: Simplify (+ 0 1) into 1 1.698 * [backup-simplify]: Simplify (- 1) into -1 1.698 * [backup-simplify]: Simplify (sqrt 0) into 0 1.698 * [backup-simplify]: Simplify (- 1) into -1 1.699 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.699 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.699 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.699 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.700 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.700 * [taylor]: Taking taylor expansion of 1.0 in x 1.700 * [backup-simplify]: Simplify 1.0 into 1.0 1.700 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.701 * [taylor]: Taking taylor expansion of x in x 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 1 into 1 1.701 * [backup-simplify]: Simplify (/ 1 1) into 1 1.701 * [backup-simplify]: Simplify (+ 0 1) into 1 1.702 * [backup-simplify]: Simplify (- 1) into -1 1.702 * [backup-simplify]: Simplify (sqrt 0) into 0 1.702 * [backup-simplify]: Simplify (- 1) into -1 1.704 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.705 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.706 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.710 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 1.715 * [backup-simplify]: Simplify (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 1.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.716 * [backup-simplify]: Simplify (+ 0 0) into 0 1.717 * [backup-simplify]: Simplify (- 0) into 0 1.725 * [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))) 1.728 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.732 * [backup-simplify]: Simplify (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (* +nan.0 (- (sqrt 1.0) +nan.0)) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) 1.732 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.733 * [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))))) 1.733 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in (x) around 0 1.733 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.733 * [taylor]: Taking taylor expansion of x in x 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify 1 into 1 1.733 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.733 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.733 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.733 * [taylor]: Taking taylor expansion of x in x 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify 1 into 1 1.733 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.733 * [taylor]: Taking taylor expansion of 1.0 in x 1.733 * [backup-simplify]: Simplify 1.0 into 1.0 1.734 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.734 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.734 * [taylor]: Taking taylor expansion of x in x 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify 1 into 1 1.734 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.734 * [taylor]: Taking taylor expansion of 1.0 in x 1.734 * [backup-simplify]: Simplify 1.0 into 1.0 1.735 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.736 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 1.737 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.738 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.740 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 1.742 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.742 * [backup-simplify]: Simplify (- 0) into 0 1.743 * [backup-simplify]: Simplify (+ 1 0) into 1 1.743 * [backup-simplify]: Simplify (+ 1 0) into 1 1.746 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 1.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 1.747 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.747 * [taylor]: Taking taylor expansion of x in x 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify 1 into 1 1.747 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.747 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.747 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.747 * [taylor]: Taking taylor expansion of x in x 1.747 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 1 into 1 1.748 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.748 * [taylor]: Taking taylor expansion of 1.0 in x 1.748 * [backup-simplify]: Simplify 1.0 into 1.0 1.748 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.749 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.749 * [taylor]: Taking taylor expansion of x in x 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.749 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.749 * [taylor]: Taking taylor expansion of 1.0 in x 1.749 * [backup-simplify]: Simplify 1.0 into 1.0 1.749 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.751 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 1.751 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.753 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.754 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 1.756 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.757 * [backup-simplify]: Simplify (- 0) into 0 1.757 * [backup-simplify]: Simplify (+ 1 0) into 1 1.757 * [backup-simplify]: Simplify (+ 1 0) into 1 1.760 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 1.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 1.765 * [backup-simplify]: Simplify (+ 0 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.767 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.767 * [backup-simplify]: Simplify (+ 1 0) into 1 1.767 * [backup-simplify]: Simplify 1 into 1 1.768 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.769 * [backup-simplify]: Simplify (- 0) into 0 1.769 * [backup-simplify]: Simplify (+ 0 0) into 0 1.770 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.770 * [backup-simplify]: Simplify (+ 0 0) into 0 1.771 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 1.777 * [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)))) 1.781 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) 1.786 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 1.791 * [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))))) 1.792 * [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)) 1.792 * [approximate]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 1.792 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.792 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.792 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.792 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.792 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.792 * [taylor]: Taking taylor expansion of x in x 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 1 into 1 1.793 * [backup-simplify]: Simplify (/ 1 1) into 1 1.793 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.793 * [taylor]: Taking taylor expansion of 1.0 in x 1.793 * [backup-simplify]: Simplify 1.0 into 1.0 1.793 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.794 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.794 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.794 * [taylor]: Taking taylor expansion of 1.0 in x 1.794 * [backup-simplify]: Simplify 1.0 into 1.0 1.794 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.795 * [taylor]: Taking taylor expansion of x in x 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.795 * [backup-simplify]: Simplify (/ 1 1) into 1 1.796 * [backup-simplify]: Simplify (+ 1 0) into 1 1.796 * [backup-simplify]: Simplify (+ 0 1) into 1 1.796 * [backup-simplify]: Simplify (* 1 1) into 1 1.797 * [backup-simplify]: Simplify (sqrt 1) into 1 1.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.798 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.800 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.801 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.804 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 1.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.805 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.805 * [taylor]: Taking taylor expansion of x in x 1.805 * [backup-simplify]: Simplify 0 into 0 1.805 * [backup-simplify]: Simplify 1 into 1 1.805 * [backup-simplify]: Simplify (/ 1 1) into 1 1.805 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.805 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.805 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.805 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.805 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.805 * [taylor]: Taking taylor expansion of x in x 1.805 * [backup-simplify]: Simplify 0 into 0 1.805 * [backup-simplify]: Simplify 1 into 1 1.806 * [backup-simplify]: Simplify (/ 1 1) into 1 1.806 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.806 * [taylor]: Taking taylor expansion of 1.0 in x 1.806 * [backup-simplify]: Simplify 1.0 into 1.0 1.806 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.807 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.807 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.807 * [taylor]: Taking taylor expansion of 1.0 in x 1.807 * [backup-simplify]: Simplify 1.0 into 1.0 1.807 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 1 into 1 1.809 * [backup-simplify]: Simplify (/ 1 1) into 1 1.809 * [backup-simplify]: Simplify (+ 1 0) into 1 1.809 * [backup-simplify]: Simplify (+ 0 1) into 1 1.810 * [backup-simplify]: Simplify (* 1 1) into 1 1.810 * [backup-simplify]: Simplify (sqrt 1) into 1 1.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.811 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.813 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.814 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.817 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 1.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.818 * [taylor]: Taking taylor expansion of x in x 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 1 into 1 1.818 * [backup-simplify]: Simplify (/ 1 1) into 1 1.818 * [backup-simplify]: Simplify (+ 1 1) into 2 1.818 * [backup-simplify]: Simplify 2 into 2 1.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.819 * [backup-simplify]: Simplify (+ 0 0) into 0 1.819 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.821 * [backup-simplify]: Simplify (+ 0 0) into 0 1.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.822 * [backup-simplify]: Simplify (- 0) into 0 1.822 * [backup-simplify]: Simplify (+ 0 0) into 0 1.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) (sqrt 1.0)) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 1.831 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 1.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.835 * [backup-simplify]: Simplify (+ (* -1/2 (pow (sqrt 1.0) 2)) 0) into (- (* 1/2 (pow (sqrt 1.0) 2))) 1.837 * [backup-simplify]: Simplify (- (* 1/2 (pow (sqrt 1.0) 2))) into (- (* 1/2 (pow (sqrt 1.0) 2))) 1.838 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.839 * [backup-simplify]: Simplify (+ 0 0) into 0 1.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.844 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.844 * [backup-simplify]: Simplify (- 0) into 0 1.845 * [backup-simplify]: Simplify (+ 0 0) into 0 1.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 (sqrt 1.0)) (* 0 1)))) into 0 1.848 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 1.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.849 * [backup-simplify]: Simplify (+ 0 0) into 0 1.849 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.851 * [backup-simplify]: Simplify (+ 0 0) into 0 1.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.853 * [backup-simplify]: Simplify (- 0) into 0 1.854 * [backup-simplify]: Simplify (+ 0 0) into 0 1.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 0) (+ (* 0 (sqrt 1.0)) (* 0 1))))) into 0 1.862 * [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)) 1.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.866 * [backup-simplify]: Simplify (+ (* -1/8 (pow (sqrt 1.0) 4)) 0) into (- (* 1/8 (pow (sqrt 1.0) 4))) 1.868 * [backup-simplify]: Simplify (- (* 1/8 (pow (sqrt 1.0) 4))) into (- (* 1/8 (pow (sqrt 1.0) 4))) 1.873 * [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)))) 1.874 * [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)) 1.874 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 1.874 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.874 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.874 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.874 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.874 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.874 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.874 * [taylor]: Taking taylor expansion of 1.0 in x 1.874 * [backup-simplify]: Simplify 1.0 into 1.0 1.874 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.875 * [taylor]: Taking taylor expansion of x in x 1.875 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify 1 into 1 1.876 * [backup-simplify]: Simplify (/ 1 1) into 1 1.876 * [backup-simplify]: Simplify (+ 0 1) into 1 1.876 * [backup-simplify]: Simplify (- 1) into -1 1.877 * [backup-simplify]: Simplify (sqrt 0) into 0 1.877 * [backup-simplify]: Simplify (- 1) into -1 1.878 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.878 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.878 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.878 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.879 * [taylor]: Taking taylor expansion of 1.0 in x 1.879 * [backup-simplify]: Simplify 1.0 into 1.0 1.879 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.880 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.880 * [taylor]: Taking taylor expansion of x in x 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.880 * [backup-simplify]: Simplify (/ 1 1) into 1 1.880 * [backup-simplify]: Simplify (- 1) into -1 1.881 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.881 * [backup-simplify]: Simplify (sqrt 0) into 0 1.882 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.882 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.882 * [taylor]: Taking taylor expansion of x in x 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (/ 1 1) into 1 1.883 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.883 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.883 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.883 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.883 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.883 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.883 * [taylor]: Taking taylor expansion of 1.0 in x 1.883 * [backup-simplify]: Simplify 1.0 into 1.0 1.883 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.884 * [taylor]: Taking taylor expansion of x in x 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.885 * [backup-simplify]: Simplify (/ 1 1) into 1 1.885 * [backup-simplify]: Simplify (+ 0 1) into 1 1.885 * [backup-simplify]: Simplify (- 1) into -1 1.886 * [backup-simplify]: Simplify (sqrt 0) into 0 1.886 * [backup-simplify]: Simplify (- 1) into -1 1.887 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.887 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.887 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.887 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.887 * [taylor]: Taking taylor expansion of 1.0 in x 1.887 * [backup-simplify]: Simplify 1.0 into 1.0 1.888 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.888 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.888 * [taylor]: Taking taylor expansion of x in x 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify 1 into 1 1.889 * [backup-simplify]: Simplify (/ 1 1) into 1 1.889 * [backup-simplify]: Simplify (- 1) into -1 1.889 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.890 * [backup-simplify]: Simplify (sqrt 0) into 0 1.891 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.891 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.891 * [taylor]: Taking taylor expansion of x in x 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify 1 into 1 1.891 * [backup-simplify]: Simplify (/ 1 1) into 1 1.892 * [backup-simplify]: Simplify (* 0 0) into 0 1.892 * [backup-simplify]: Simplify (+ 0 0) into 0 1.892 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 1.893 * [backup-simplify]: Simplify (- 1) into -1 1.893 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.893 * [backup-simplify]: Simplify -1 into -1 1.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.895 * [backup-simplify]: Simplify (- 0) into 0 1.895 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.899 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 1.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.900 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.901 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.905 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 1.909 * [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) 1.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (- 0) into 0 1.911 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 1.911 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.913 * [backup-simplify]: Simplify (- 0) into 0 1.913 * [backup-simplify]: Simplify (+ 0 0) into 0 1.920 * [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))) 1.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.921 * [backup-simplify]: Simplify (+ 0 0) into 0 1.921 * [backup-simplify]: Simplify (- 0) into 0 1.929 * [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))) 1.942 * [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))) 1.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.944 * [backup-simplify]: Simplify (- 0) into 0 1.947 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.949 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.953 * [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))))))) 1.953 * * * [progress]: simplifying candidates 1.955 * [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 (sqrt (- x (sqrt 1.0)))) (log1p (sqrt (- x (sqrt 1.0)))) (log (sqrt (- x (sqrt 1.0)))) (exp (sqrt (- x (sqrt 1.0)))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (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 (* (cbrt (- x (sqrt 1.0))) (cbrt (- x (sqrt 1.0))))) (sqrt (cbrt (- x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt 1) (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0)))) (sqrt (- (sqrt x) (sqrt (sqrt 1.0)))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0)))) (sqrt (- (sqrt x) (sqrt (sqrt 1.0)))) (sqrt 1) (sqrt (- x (sqrt 1.0))) (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)))) (sqrt (+ x (sqrt 1.0))) (/ 1 2) (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (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))))))))))) (- (+ (sqrt (- (sqrt 1.0))) (* 1/2 (/ x (sqrt (- (sqrt 1.0)))))) (* 1/8 (/ (pow x 2) (pow (sqrt (- (sqrt 1.0))) 3)))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 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))))))) 1.959 * * [simplify]: Extracting # 0 : cost 0 1.959 * * [simplify]: Extracting # 1 : cost 0 1.959 * * [simplify]: Extracting # 2 : cost 0 1.960 * * [simplify]: Extracting # 3 : cost 0 1.960 * * [simplify]: Extracting # 4 : cost 0 1.960 * * [simplify]: Extracting # 5 : cost 0 1.961 * * [simplify]: Extracting # 6 : cost 0 1.961 * * [simplify]: Extracting # 7 : cost 0 1.961 * * [simplify]: Extracting # 8 : cost 0 1.962 * * [simplify]: Extracting # 9 : cost 0 1.962 * * [simplify]: Extracting # 10 : cost 0 1.963 * * [simplify]: Extracting # 11 : cost 0 1.963 * * [simplify]: Extracting # 12 : cost 0 1.963 * * [simplify]: Extracting # 13 : cost 0 1.964 * * [simplify]: Extracting # 14 : cost 0 1.964 * * [simplify]: Extracting # 15 : cost 0 1.964 * * [simplify]: Extracting # 16 : cost 0 1.965 * * [simplify]: iteration 0 : 180 enodes (cost 1486 ) 2.036 * * [simplify]: Extracting # 0 : cost 0 2.036 * * [simplify]: Extracting # 1 : cost 0 2.037 * * [simplify]: Extracting # 2 : cost 0 2.037 * * [simplify]: Extracting # 3 : cost 0 2.038 * * [simplify]: Extracting # 4 : cost 0 2.038 * * [simplify]: Extracting # 5 : cost 0 2.039 * * [simplify]: iteration 1 : 449 enodes (cost 1274 ) 2.300 * * [simplify]: Extracting # 0 : cost 0 2.301 * * [simplify]: Extracting # 1 : cost 0 2.303 * * [simplify]: Extracting # 2 : cost 0 2.305 * * [simplify]: Extracting # 3 : cost 0 2.307 * * [simplify]: Extracting # 4 : cost 0 2.309 * * [simplify]: iteration 2 : 1732 enodes (cost 1188 ) 3.120 * * [simplify]: Extracting # 0 : cost 0 3.132 * * [simplify]: Extracting # 1 : cost 0 3.153 * * [simplify]: Extracting # 2 : cost 0 3.165 * * [simplify]: Extracting # 3 : cost 0 3.177 * * [simplify]: Extracting # 4 : cost 0 3.189 * * [simplify]: iteration done: 5002 enodes (cost 1175 ) 3.190 * [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))))) (fma x x (- 1.0)) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (fma 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) (fma 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 (sqrt 1.0) 3/2) (pow x 3/2)) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (fma x x (fma x (sqrt 1.0) 1.0))) (sqrt (fma x x (- 1.0 (* x (sqrt 1.0)))))) (* (hypot (pow (sqrt 1.0) 3/2) (pow x 3/2)) (hypot x (sqrt (- 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (fma x x (- 1.0 (* x (sqrt 1.0)))))) (* (hypot x (sqrt (- 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (fma x x (fma x (sqrt 1.0) 1.0)))) (fma 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 x (sqrt (- 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- x (sqrt 1.0))) (hypot (pow (sqrt 1.0) 3/2) (pow x 3/2))) (* (hypot x (sqrt (- 1.0))) (sqrt (- x (sqrt 1.0)))) (expm1 (sqrt (- x (sqrt 1.0)))) (log1p (sqrt (- x (sqrt 1.0)))) (log (sqrt (- x (sqrt 1.0)))) (exp (sqrt (- x (sqrt 1.0)))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0))))) (cbrt (sqrt (- x (sqrt 1.0)))) (pow (sqrt (- x (sqrt 1.0))) 3) (fabs (cbrt (- x (sqrt 1.0)))) (sqrt (cbrt (- x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0)))) 1 (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0)))) (sqrt (- (sqrt x) (sqrt (sqrt 1.0)))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0)))) (sqrt (- (sqrt x) (sqrt (sqrt 1.0)))) 1 (sqrt (- x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (fma x x (fma x (sqrt 1.0) 1.0))) (hypot x (sqrt (- 1.0))) (sqrt (+ x (sqrt 1.0))) 1/2 (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (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) 1.0)) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (- (* x x) (- (* x x) 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)))) (- x (fma 1/8 (/ (* 1.0 1.0) (pow x 3)) (* 1/2 (/ 1.0 x)))) (fma (- (/ 1.0 (pow x 2))) +nan.0 (- (fma (/ (sqrt 1.0) (pow x 2)) +nan.0 (- (/ +nan.0 x) (fma +nan.0 (/ (sqrt 1.0) x) (- +nan.0)))) (/ (/ +nan.0 x) x))) (fma (/ (pow x 2) (pow (sqrt (- (sqrt 1.0))) 3)) -1/8 (fma 1/2 (/ x (sqrt (- (sqrt 1.0)))) (sqrt (- (sqrt 1.0))))) (fma (/ (sqrt 1.0) x) (- +nan.0) (- (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (- (/ +nan.0 x) +nan.0)) (/ (/ +nan.0 x) x))) (fma (/ (sqrt 1.0) x) (- +nan.0) (- (fma +nan.0 (/ (sqrt 1.0) (pow x 2)) (- (/ +nan.0 x) +nan.0)) (/ (/ +nan.0 x) x))) (fma 1/2 (/ (* x x) (sqrt (- 1.0))) (+ (sqrt (- 1.0)) x)) (- (* 2 x) (fma 1/8 (/ (* 1.0 1.0) (pow x 3)) (* 1/2 (/ 1.0 x)))) (+ (- x +nan.0) (- (* +nan.0 (/ (sqrt 1.0) x)) (/ +nan.0 x))) 3.192 * * * [progress]: adding candidates to table 3.630 * [progress]: [Phase 3 of 3] Extracting. 3.635 * [simplify]: Simplifying: (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) 3.635 * * [simplify]: Extracting # 0 : cost 0 3.635 * * [simplify]: Extracting # 1 : cost 0 3.635 * * [simplify]: Extracting # 2 : cost 0 3.635 * * [simplify]: Extracting # 3 : cost 0 3.635 * * [simplify]: Extracting # 4 : cost 0 3.635 * * [simplify]: Extracting # 5 : cost 0 3.635 * * [simplify]: Extracting # 6 : cost 0 3.636 * * [simplify]: Extracting # 7 : cost 0 3.636 * * [simplify]: Extracting # 8 : cost 0 3.636 * * [simplify]: iteration 0 : 10 enodes (cost 14 ) 3.637 * * [simplify]: Extracting # 0 : cost 0 3.637 * * [simplify]: iteration 1 : 13 enodes (cost 14 ) 3.638 * * [simplify]: Extracting # 0 : cost 0 3.639 * * [simplify]: iteration done: 13 enodes (cost 14 ) 3.639 * [simplify]: Simplified to: (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) 7.692 * [regime-testing]: Baseline error score: 0.05913239154894362 7.694 * [regime-testing]: Oracle error score: 0.05913239154894362 7.694 * [regime-testing]: End program error score: 0.05913239154894362