37.029 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.065 * * * [progress]: [2/2] Setting up program. 0.067 * [progress]: [Phase 2 of 3] Improving. 0.067 * [simplify]: Simplifying: (log (+ x (sqrt (- (* x x) 1.0)))) 0.067 * * [simplify]: Extracting # 0 : cost 0 0.067 * * [simplify]: Extracting # 1 : cost 0 0.067 * * [simplify]: Extracting # 2 : cost 0 0.067 * * [simplify]: Extracting # 3 : cost 0 0.067 * * [simplify]: Extracting # 4 : cost 0 0.067 * * [simplify]: Extracting # 5 : cost 0 0.067 * * [simplify]: Extracting # 6 : cost 0 0.067 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.069 * * [simplify]: Extracting # 0 : cost 0 0.069 * * [simplify]: Extracting # 1 : cost 0 0.069 * * [simplify]: Extracting # 2 : cost 0 0.069 * * [simplify]: iteration 1 : 11 enodes (cost 9 ) 0.071 * * [simplify]: Extracting # 0 : cost 0 0.071 * * [simplify]: iteration 2 : 12 enodes (cost 9 ) 0.073 * * [simplify]: Extracting # 0 : cost 0 0.073 * * [simplify]: iteration done: 12 enodes (cost 9 ) 0.073 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1.0)))) 0.073 * * [progress]: iteration 1 / 4 0.073 * * * [progress]: picking best candidate 0.075 * * * * [pick]: Picked # 0.075 * * * [progress]: localizing error 0.108 * * * [progress]: generating rewritten candidates 0.108 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.131 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.162 * * * [progress]: generating series expansions 0.162 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.163 * [backup-simplify]: Simplify (sqrt (- (* x x) 1.0)) into (sqrt (- (pow x 2) 1.0)) 0.163 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.163 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.163 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [backup-simplify]: Simplify 1.0 into 1.0 0.163 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.164 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.165 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.165 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.166 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.166 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [taylor]: Taking taylor expansion of 1.0 in x 0.167 * [backup-simplify]: Simplify 1.0 into 1.0 0.167 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.168 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.168 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.169 * [backup-simplify]: Simplify (- 0) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.171 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (* 1 1) into 1 0.171 * [backup-simplify]: Simplify (- 0) into 0 0.172 * [backup-simplify]: Simplify (+ 1 0) into 1 0.175 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.176 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- 1.0))) into (/ 1/2 (sqrt (- 1.0))) 0.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.177 * [backup-simplify]: Simplify (- 0) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- 1.0))))))) (* 2 (sqrt (- 1.0)))) into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.179 * [backup-simplify]: Simplify (- 0) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [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)) 0.185 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (- 1.0)) 3)) into (/ -1/8 (pow (sqrt (- 1.0)) 3)) 0.188 * [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)))) 0.188 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.188 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.188 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.188 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (* 1 1) into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [taylor]: Taking taylor expansion of 1.0 in x 0.188 * [backup-simplify]: Simplify 1.0 into 1.0 0.189 * [backup-simplify]: Simplify (+ 1 0) into 1 0.189 * [backup-simplify]: Simplify (sqrt 1) into 1 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.190 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.190 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (* 1 1) into 1 0.191 * [backup-simplify]: Simplify (/ 1 1) into 1 0.191 * [taylor]: Taking taylor expansion of 1.0 in x 0.191 * [backup-simplify]: Simplify 1.0 into 1.0 0.191 * [backup-simplify]: Simplify (+ 1 0) into 1 0.191 * [backup-simplify]: Simplify (sqrt 1) into 1 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.195 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.197 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.197 * [backup-simplify]: Simplify -0.5 into -0.5 0.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (- 0) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.203 * [backup-simplify]: Simplify -0.125 into -0.125 0.203 * [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))))) 0.203 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.203 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.203 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.203 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (* 1 1) into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [taylor]: Taking taylor expansion of 1.0 in x 0.210 * [backup-simplify]: Simplify 1.0 into 1.0 0.210 * [backup-simplify]: Simplify (+ 1 0) into 1 0.211 * [backup-simplify]: Simplify (sqrt 1) into 1 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.213 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.213 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [taylor]: Taking taylor expansion of 1.0 in x 0.214 * [backup-simplify]: Simplify 1.0 into 1.0 0.214 * [backup-simplify]: Simplify (+ 1 0) into 1 0.214 * [backup-simplify]: Simplify (sqrt 1) into 1 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [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 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.219 * [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 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (- 0) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.232 * [backup-simplify]: Simplify -0.125 into -0.125 0.232 * [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) 0.232 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.232 * [backup-simplify]: Simplify (+ x (sqrt (- (* x x) 1.0))) into (+ (sqrt (- (pow x 2) 1.0)) x) 0.233 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 0.233 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.233 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.233 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [taylor]: Taking taylor expansion of 1.0 in x 0.233 * [backup-simplify]: Simplify 1.0 into 1.0 0.233 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.234 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.235 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.235 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.236 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.236 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [taylor]: Taking taylor expansion of 1.0 in x 0.236 * [backup-simplify]: Simplify 1.0 into 1.0 0.237 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.237 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.238 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.238 * [backup-simplify]: Simplify (- 0) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (+ (sqrt (- 1.0)) 0) into (sqrt (- 1.0)) 0.241 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.242 * [backup-simplify]: Simplify (+ 0 1) into 1 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (* 1 1) into 1 0.242 * [backup-simplify]: Simplify (- 0) into 0 0.243 * [backup-simplify]: Simplify (+ 1 0) into 1 0.246 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.248 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt (- 1.0))) 0) into (* 1/2 (/ 1 (sqrt (- 1.0)))) 0.250 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.252 * [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)))) 0.252 * [backup-simplify]: Simplify (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0))) into (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) 0.252 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.252 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.252 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.252 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (* 1 1) into 1 0.253 * [backup-simplify]: Simplify (/ 1 1) into 1 0.253 * [taylor]: Taking taylor expansion of 1.0 in x 0.253 * [backup-simplify]: Simplify 1.0 into 1.0 0.254 * [backup-simplify]: Simplify (+ 1 0) into 1 0.254 * [backup-simplify]: Simplify (sqrt 1) into 1 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.257 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.257 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (* 1 1) into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [taylor]: Taking taylor expansion of 1.0 in x 0.257 * [backup-simplify]: Simplify 1.0 into 1.0 0.258 * [backup-simplify]: Simplify (+ 1 0) into 1 0.258 * [backup-simplify]: Simplify (sqrt 1) into 1 0.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.261 * [backup-simplify]: Simplify (+ 1 1) into 2 0.261 * [backup-simplify]: Simplify 2 into 2 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.265 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.267 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.268 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ -0.125 0) into (- 0.125) 0.276 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.276 * [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))))) 0.277 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0))) into (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) 0.277 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.277 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.277 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.277 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.277 * [taylor]: Taking taylor expansion of x in x 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [taylor]: Taking taylor expansion of 1.0 in x 0.277 * [backup-simplify]: Simplify 1.0 into 1.0 0.278 * [backup-simplify]: Simplify (+ 1 0) into 1 0.278 * [backup-simplify]: Simplify (sqrt 1) into 1 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.280 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.280 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.280 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.280 * [taylor]: Taking taylor expansion of x in x 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (* 1 1) into 1 0.280 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [taylor]: Taking taylor expansion of 1.0 in x 0.280 * [backup-simplify]: Simplify 1.0 into 1.0 0.280 * [backup-simplify]: Simplify (+ 1 0) into 1 0.281 * [backup-simplify]: Simplify (sqrt 1) into 1 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [backup-simplify]: Simplify (- 1) into -1 0.283 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.286 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.289 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.291 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (- 0) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- 0) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (- 0) into 0 0.300 * [backup-simplify]: Simplify (+ -0.125 0) into (- 0.125) 0.300 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (- 0) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.125)) (* 2 (* -0.5 0)))) (* 2 1)) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- 0) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (- 0) into 0 0.310 * [backup-simplify]: Simplify (+ -0.0625 0) into (- 0.0625) 0.311 * [backup-simplify]: Simplify (- 0.0625) into (- 0.0625) 0.312 * [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)))) 0.312 * * * [progress]: simplifying candidates 0.313 * [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)))) 0.313 * * [simplify]: Extracting # 0 : cost 0 0.314 * * [simplify]: Extracting # 1 : cost 0 0.314 * * [simplify]: Extracting # 2 : cost 0 0.314 * * [simplify]: Extracting # 3 : cost 0 0.314 * * [simplify]: Extracting # 4 : cost 0 0.314 * * [simplify]: Extracting # 5 : cost 0 0.314 * * [simplify]: Extracting # 6 : cost 0 0.314 * * [simplify]: Extracting # 7 : cost 0 0.314 * * [simplify]: Extracting # 8 : cost 0 0.314 * * [simplify]: Extracting # 9 : cost 0 0.315 * * [simplify]: iteration 0 : 95 enodes (cost 483 ) 0.342 * * [simplify]: Extracting # 0 : cost 0 0.343 * * [simplify]: Extracting # 1 : cost 0 0.343 * * [simplify]: Extracting # 2 : cost 0 0.343 * * [simplify]: Extracting # 3 : cost 0 0.343 * * [simplify]: iteration 1 : 244 enodes (cost 425 ) 0.468 * * [simplify]: Extracting # 0 : cost 0 0.469 * * [simplify]: Extracting # 1 : cost 0 0.470 * * [simplify]: Extracting # 2 : cost 0 0.471 * * [simplify]: Extracting # 3 : cost 0 0.478 * * [simplify]: Extracting # 4 : cost 0 0.479 * * [simplify]: iteration 2 : 969 enodes (cost 392 ) 0.948 * * [simplify]: Extracting # 0 : cost 0 0.953 * * [simplify]: Extracting # 1 : cost 0 0.959 * * [simplify]: Extracting # 2 : cost 0 0.965 * * [simplify]: Extracting # 3 : cost 0 0.971 * * [simplify]: Extracting # 4 : cost 0 0.983 * * [simplify]: iteration done: 5000 enodes (cost 356 ) 0.983 * [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))) 0.983 * * * [progress]: adding candidates to table 1.112 * * [progress]: iteration 2 / 4 1.112 * * * [progress]: picking best candidate 1.116 * * * * [pick]: Picked # 1.116 * * * [progress]: localizing error 1.140 * * * [progress]: generating rewritten candidates 1.140 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 1.154 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.370 * * * [progress]: generating series expansions 1.370 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 1.370 * [backup-simplify]: Simplify (/ 0.125 (pow x 3)) into (/ 0.125 (pow x 3)) 1.370 * [approximate]: Taking taylor expansion of (/ 0.125 (pow x 3)) in (x) around 0 1.370 * [taylor]: Taking taylor expansion of (/ 0.125 (pow x 3)) in x 1.370 * [taylor]: Taking taylor expansion of 0.125 in x 1.370 * [backup-simplify]: Simplify 0.125 into 0.125 1.370 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.370 * [taylor]: Taking taylor expansion of x in x 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify 1 into 1 1.371 * [backup-simplify]: Simplify (* 1 1) into 1 1.372 * [backup-simplify]: Simplify (* 1 1) into 1 1.372 * [backup-simplify]: Simplify (/ 0.125 1) into 0.125 1.372 * [taylor]: Taking taylor expansion of (/ 0.125 (pow x 3)) in x 1.372 * [taylor]: Taking taylor expansion of 0.125 in x 1.372 * [backup-simplify]: Simplify 0.125 into 0.125 1.372 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.372 * [taylor]: Taking taylor expansion of x in x 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 1 into 1 1.373 * [backup-simplify]: Simplify (* 1 1) into 1 1.373 * [backup-simplify]: Simplify (* 1 1) into 1 1.373 * [backup-simplify]: Simplify (/ 0.125 1) into 0.125 1.373 * [backup-simplify]: Simplify 0.125 into 0.125 1.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.125 (/ 0 1)))) into 0 1.375 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.125 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.378 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.125 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.381 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.125 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.384 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.125 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.387 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.125 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify (* 0.125 (pow (/ 1 x) 3)) into (/ 0.125 (pow x 3)) 1.391 * [backup-simplify]: Simplify (/ 0.125 (pow (/ 1 x) 3)) into (* 0.125 (pow x 3)) 1.391 * [approximate]: Taking taylor expansion of (* 0.125 (pow x 3)) in (x) around 0 1.391 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 1.391 * [taylor]: Taking taylor expansion of 0.125 in x 1.391 * [backup-simplify]: Simplify 0.125 into 0.125 1.391 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.391 * [taylor]: Taking taylor expansion of x in x 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 1 into 1 1.391 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 1.391 * [taylor]: Taking taylor expansion of 0.125 in x 1.391 * [backup-simplify]: Simplify 0.125 into 0.125 1.391 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.391 * [taylor]: Taking taylor expansion of x in x 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 1 into 1 1.391 * [backup-simplify]: Simplify (* 1 1) into 1 1.392 * [backup-simplify]: Simplify (* 1 1) into 1 1.392 * [backup-simplify]: Simplify (* 0.125 1) into 0.125 1.392 * [backup-simplify]: Simplify 0.125 into 0.125 1.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.394 * [backup-simplify]: Simplify (+ (* 0.125 0) (* 0 1)) into 0 1.394 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.396 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 1.396 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.399 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.399 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.402 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.402 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.404 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.404 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.407 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify (* 0.125 (pow (/ 1 x) 3)) into (/ 0.125 (pow x 3)) 1.407 * [backup-simplify]: Simplify (/ 0.125 (pow (/ 1 (- x)) 3)) into (* -0.125 (pow x 3)) 1.407 * [approximate]: Taking taylor expansion of (* -0.125 (pow x 3)) in (x) around 0 1.407 * [taylor]: Taking taylor expansion of (* -0.125 (pow x 3)) in x 1.407 * [taylor]: Taking taylor expansion of -0.125 in x 1.407 * [backup-simplify]: Simplify -0.125 into -0.125 1.407 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [taylor]: Taking taylor expansion of (* -0.125 (pow x 3)) in x 1.407 * [taylor]: Taking taylor expansion of -0.125 in x 1.407 * [backup-simplify]: Simplify -0.125 into -0.125 1.407 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.407 * [taylor]: Taking taylor expansion of x in x 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.408 * [backup-simplify]: Simplify (* 1 1) into 1 1.408 * [backup-simplify]: Simplify (* 1 1) into 1 1.408 * [backup-simplify]: Simplify (* -0.125 1) into -0.125 1.408 * [backup-simplify]: Simplify -0.125 into -0.125 1.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.409 * [backup-simplify]: Simplify (+ (* -0.125 0) (* 0 1)) into 0 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.411 * [backup-simplify]: Simplify (+ (* -0.125 0) (+ (* 0 0) (* 0 1))) into 0 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.414 * [backup-simplify]: Simplify (+ (* -0.125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.416 * [backup-simplify]: Simplify (+ (* -0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.416 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.420 * [backup-simplify]: Simplify (+ (* -0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.426 * [backup-simplify]: Simplify (+ (* -0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify (* -0.125 (pow (/ 1 (- x)) 3)) into (/ 0.125 (pow x 3)) 1.427 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.427 * [backup-simplify]: Simplify (- (- (* 2 x) (/ 0.5 x)) (/ 0.125 (pow x 3))) into (- (* 2 x) (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) 1.428 * [approximate]: Taking taylor expansion of (- (* 2 x) (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) in (x) around 0 1.428 * [taylor]: Taking taylor expansion of (- (* 2 x) (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) in x 1.428 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.428 * [taylor]: Taking taylor expansion of 2 in x 1.428 * [backup-simplify]: Simplify 2 into 2 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 1.428 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x))) in x 1.428 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow x 3))) in x 1.428 * [taylor]: Taking taylor expansion of 0.125 in x 1.428 * [backup-simplify]: Simplify 0.125 into 0.125 1.428 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.428 * [taylor]: Taking taylor expansion of (pow x 3) 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 1) into 1 1.430 * [backup-simplify]: Simplify (/ 1 1) into 1 1.430 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 1.430 * [taylor]: Taking taylor expansion of 0.5 in x 1.430 * [backup-simplify]: Simplify 0.5 into 0.5 1.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.430 * [taylor]: Taking taylor expansion of x in x 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 1 into 1 1.430 * [backup-simplify]: Simplify (/ 1 1) into 1 1.430 * [taylor]: Taking taylor expansion of (- (* 2 x) (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) in x 1.430 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.430 * [taylor]: Taking taylor expansion of 2 in x 1.430 * [backup-simplify]: Simplify 2 into 2 1.430 * [taylor]: Taking taylor expansion of x in x 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 1 into 1 1.430 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x))) in x 1.430 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow x 3))) in x 1.430 * [taylor]: Taking taylor expansion of 0.125 in x 1.430 * [backup-simplify]: Simplify 0.125 into 0.125 1.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 1.431 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.431 * [taylor]: Taking taylor expansion of x in x 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify 1 into 1 1.431 * [backup-simplify]: Simplify (* 1 1) into 1 1.431 * [backup-simplify]: Simplify (* 1 1) into 1 1.432 * [backup-simplify]: Simplify (/ 1 1) into 1 1.432 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 x)) in x 1.432 * [taylor]: Taking taylor expansion of 0.5 in x 1.432 * [backup-simplify]: Simplify 0.5 into 0.5 1.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.432 * [taylor]: Taking taylor expansion of x in x 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 1 into 1 1.432 * [backup-simplify]: Simplify (/ 1 1) into 1 1.433 * [backup-simplify]: Simplify (* 0.125 1) into 0.125 1.433 * [backup-simplify]: Simplify (+ 0.125 0) into 0.125 1.434 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 1.435 * [backup-simplify]: Simplify (+ 0 (- 0.125)) into (- 0.125) 1.435 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 1.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.437 * [backup-simplify]: Simplify (+ (* 0.125 0) (* 0 1)) into 0 1.438 * [backup-simplify]: Simplify (+ 0 0) into 0 1.438 * [backup-simplify]: Simplify (- 0) into 0 1.438 * [backup-simplify]: Simplify (+ 0 0) into 0 1.438 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 1.442 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.442 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 1.442 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.443 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 1.443 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.443 * [backup-simplify]: Simplify (* 2 0) into 0 1.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.446 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.446 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 1.447 * [backup-simplify]: Simplify (+ 0 0) into 0 1.447 * [backup-simplify]: Simplify (- 0) into 0 1.447 * [backup-simplify]: Simplify (+ 0 0) into 0 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.450 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.451 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 1.451 * [backup-simplify]: Simplify (+ 0 0) into 0 1.452 * [backup-simplify]: Simplify (- 0) into 0 1.452 * [backup-simplify]: Simplify (+ 2 0) into 2 1.452 * [backup-simplify]: Simplify 2 into 2 1.453 * [backup-simplify]: Simplify (+ (* 2 x) (+ (* (- 0.5) (/ 1 x)) (* (- 0.125) (pow (/ 1 x) 3)))) into (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) 1.453 * [backup-simplify]: Simplify (- (- (* 2 (/ 1 x)) (/ 0.5 (/ 1 x))) (/ 0.125 (pow (/ 1 x) 3))) into (- (* 2 (/ 1 x)) (+ (* 0.5 x) (* 0.125 (pow x 3)))) 1.453 * [approximate]: Taking taylor expansion of (- (* 2 (/ 1 x)) (+ (* 0.5 x) (* 0.125 (pow x 3)))) in (x) around 0 1.453 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x)) (+ (* 0.5 x) (* 0.125 (pow x 3)))) in x 1.453 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.453 * [taylor]: Taking taylor expansion of 2 in x 1.453 * [backup-simplify]: Simplify 2 into 2 1.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 1 into 1 1.453 * [backup-simplify]: Simplify (/ 1 1) into 1 1.453 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.125 (pow x 3))) in x 1.453 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.453 * [taylor]: Taking taylor expansion of 0.5 in x 1.453 * [backup-simplify]: Simplify 0.5 into 0.5 1.453 * [taylor]: Taking taylor expansion of x in x 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 1 into 1 1.453 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 1.453 * [taylor]: Taking taylor expansion of 0.125 in x 1.454 * [backup-simplify]: Simplify 0.125 into 0.125 1.454 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 1 into 1 1.454 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 x)) (+ (* 0.5 x) (* 0.125 (pow x 3)))) in x 1.454 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.454 * [taylor]: Taking taylor expansion of 2 in x 1.454 * [backup-simplify]: Simplify 2 into 2 1.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 1 into 1 1.454 * [backup-simplify]: Simplify (/ 1 1) into 1 1.454 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.125 (pow x 3))) in x 1.454 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.454 * [taylor]: Taking taylor expansion of 0.5 in x 1.454 * [backup-simplify]: Simplify 0.5 into 0.5 1.454 * [taylor]: Taking taylor expansion of x in x 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 1 into 1 1.454 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 1.454 * [taylor]: Taking taylor expansion of 0.125 in x 1.454 * [backup-simplify]: Simplify 0.125 into 0.125 1.454 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 1 into 1 1.454 * [backup-simplify]: Simplify (* 2 1) into 2 1.455 * [backup-simplify]: Simplify (+ 2 0) into 2 1.455 * [backup-simplify]: Simplify 2 into 2 1.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.456 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.460 * [backup-simplify]: Simplify (* 0.5 0) into 0 1.460 * [backup-simplify]: Simplify (+ 0 0) into 0 1.460 * [backup-simplify]: Simplify (- 0) into 0 1.461 * [backup-simplify]: Simplify (+ 0 0) into 0 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.462 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.463 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 1.463 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 1.463 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.464 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 1.464 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.465 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.465 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 1.466 * [backup-simplify]: Simplify (+ 0 0) into 0 1.466 * [backup-simplify]: Simplify (- 0) into 0 1.466 * [backup-simplify]: Simplify (+ 0 0) into 0 1.466 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.467 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.468 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.468 * [backup-simplify]: Simplify (* 1 1) into 1 1.469 * [backup-simplify]: Simplify (* 1 1) into 1 1.469 * [backup-simplify]: Simplify (* 0.125 1) into 0.125 1.469 * [backup-simplify]: Simplify (+ 0 0.125) into 0.125 1.469 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 1.470 * [backup-simplify]: Simplify (+ 0 (- 0.125)) into (- 0.125) 1.470 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 1.471 * [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))))) 1.471 * [backup-simplify]: Simplify (- (- (* 2 (/ 1 (- x))) (/ 0.5 (/ 1 (- x)))) (/ 0.125 (pow (/ 1 (- x)) 3))) into (- (+ (* 0.5 x) (* 0.125 (pow x 3))) (* 2 (/ 1 x))) 1.471 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.125 (pow x 3))) (* 2 (/ 1 x))) in (x) around 0 1.471 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.125 (pow x 3))) (* 2 (/ 1 x))) in x 1.471 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.125 (pow x 3))) in x 1.471 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.471 * [taylor]: Taking taylor expansion of 0.5 in x 1.471 * [backup-simplify]: Simplify 0.5 into 0.5 1.471 * [taylor]: Taking taylor expansion of x in x 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 1 into 1 1.471 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 1.471 * [taylor]: Taking taylor expansion of 0.125 in x 1.471 * [backup-simplify]: Simplify 0.125 into 0.125 1.471 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.471 * [taylor]: Taking taylor expansion of x in x 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 1 into 1 1.471 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.471 * [taylor]: Taking taylor expansion of 2 in x 1.471 * [backup-simplify]: Simplify 2 into 2 1.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.471 * [taylor]: Taking taylor expansion of x in x 1.471 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 1 into 1 1.472 * [backup-simplify]: Simplify (/ 1 1) into 1 1.472 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 x) (* 0.125 (pow x 3))) (* 2 (/ 1 x))) in x 1.472 * [taylor]: Taking taylor expansion of (+ (* 0.5 x) (* 0.125 (pow x 3))) in x 1.472 * [taylor]: Taking taylor expansion of (* 0.5 x) in x 1.472 * [taylor]: Taking taylor expansion of 0.5 in x 1.472 * [backup-simplify]: Simplify 0.5 into 0.5 1.472 * [taylor]: Taking taylor expansion of x in x 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 1 into 1 1.472 * [taylor]: Taking taylor expansion of (* 0.125 (pow x 3)) in x 1.472 * [taylor]: Taking taylor expansion of 0.125 in x 1.472 * [backup-simplify]: Simplify 0.125 into 0.125 1.472 * [taylor]: Taking taylor expansion of (pow x 3) in x 1.472 * [taylor]: Taking taylor expansion of x in x 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 1 into 1 1.472 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.472 * [taylor]: Taking taylor expansion of 2 in x 1.472 * [backup-simplify]: Simplify 2 into 2 1.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.472 * [taylor]: Taking taylor expansion of x in x 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 1 into 1 1.472 * [backup-simplify]: Simplify (/ 1 1) into 1 1.473 * [backup-simplify]: Simplify (* 2 1) into 2 1.473 * [backup-simplify]: Simplify (- 2) into -2 1.473 * [backup-simplify]: Simplify (+ 0 -2) into -2 1.473 * [backup-simplify]: Simplify -2 into -2 1.473 * [backup-simplify]: Simplify (* 0.5 0) into 0 1.474 * [backup-simplify]: Simplify (+ 0 0) into 0 1.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.474 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.475 * [backup-simplify]: Simplify (- 0) into 0 1.475 * [backup-simplify]: Simplify (+ 0 0) into 0 1.475 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 1.476 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 1.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.477 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.477 * [backup-simplify]: Simplify (- 0) into 0 1.478 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 1.478 * [backup-simplify]: Simplify 0.5 into 0.5 1.478 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 1.478 * [backup-simplify]: Simplify (+ 0 0) into 0 1.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.480 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.480 * [backup-simplify]: Simplify (- 0) into 0 1.480 * [backup-simplify]: Simplify (+ 0 0) into 0 1.480 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.481 * [backup-simplify]: Simplify (* 1 1) into 1 1.481 * [backup-simplify]: Simplify (* 1 1) into 1 1.481 * [backup-simplify]: Simplify (* 0.125 1) into 0.125 1.482 * [backup-simplify]: Simplify (+ 0 0.125) into 0.125 1.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.483 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.483 * [backup-simplify]: Simplify (- 0) into 0 1.484 * [backup-simplify]: Simplify (+ 0.125 0) into 0.125 1.484 * [backup-simplify]: Simplify 0.125 into 0.125 1.484 * [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))))) 1.484 * * * [progress]: simplifying candidates 1.493 * [simplify]: Simplifying: (expm1 (/ 0.125 (pow x 3))) (log1p (/ 0.125 (pow x 3))) (- (log 0.125) (* (log x) 3)) (- (log 0.125) (* (log x) 3)) (- (log 0.125) (log (pow x 3))) (log (/ 0.125 (pow x 3))) (exp (/ 0.125 (pow x 3))) (/ (* (* 0.125 0.125) 0.125) (* (* (pow x 3) (pow x 3)) (pow x 3))) (* (cbrt (/ 0.125 (pow x 3))) (cbrt (/ 0.125 (pow x 3)))) (cbrt (/ 0.125 (pow x 3))) (* (* (/ 0.125 (pow x 3)) (/ 0.125 (pow x 3))) (/ 0.125 (pow x 3))) (sqrt (/ 0.125 (pow x 3))) (sqrt (/ 0.125 (pow x 3))) (- 0.125) (- (pow x 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow (* (cbrt x) (cbrt x)) 3)) (/ (cbrt 0.125) (pow (cbrt x) 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow (sqrt x) 3)) (/ (cbrt 0.125) (pow (sqrt x) 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow 1 3)) (/ (cbrt 0.125) (pow x 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (* x x)) (/ (cbrt 0.125) x) (/ (* (cbrt 0.125) (cbrt 0.125)) (* (cbrt (pow x 3)) (cbrt (pow x 3)))) (/ (cbrt 0.125) (cbrt (pow x 3))) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow (* (cbrt x) (cbrt x)) 3)) (/ (cbrt 0.125) (pow (cbrt x) 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow (sqrt x) 3)) (/ (cbrt 0.125) (pow (sqrt x) 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) (pow 1 3)) (/ (cbrt 0.125) (pow x 3)) (/ (* (cbrt 0.125) (cbrt 0.125)) x) (/ (cbrt 0.125) (* x x)) (/ (* (cbrt 0.125) (cbrt 0.125)) (sqrt (pow x 3))) (/ (cbrt 0.125) (sqrt (pow x 3))) (/ (* (cbrt 0.125) (cbrt 0.125)) 1) (/ (cbrt 0.125) (pow x 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(- (/ 0.5 x)) 1 (* (/ 0.5 x) 1)) (/ 0.125 (pow x 3))) (- (fma (- (/ 1 x)) 0.5 (* (/ 1 x) 0.5)) (/ 0.125 (pow x 3))) (- (- (/ 0.5 x)) (/ 0.125 (pow x 3))) (- (- (/ 0.5 x)) (/ 0.125 (pow x 3))) (+ (/ 0.5 x) (/ 0.125 (pow x 3))) (- (/ 0.125 (pow x 3))) (/ 0.125 (pow x 3)) (/ 0.125 (pow x 3)) (/ 0.125 (pow x 3)) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) 1.512 * * [simplify]: Extracting # 0 : cost 0 1.513 * * [simplify]: Extracting # 1 : cost 0 1.514 * * [simplify]: Extracting # 2 : cost 0 1.515 * * [simplify]: Extracting # 3 : cost 0 1.517 * * [simplify]: Extracting # 4 : cost 0 1.518 * * [simplify]: Extracting # 5 : cost 0 1.519 * * [simplify]: Extracting # 6 : cost 0 1.521 * * [simplify]: Extracting # 7 : cost 0 1.522 * * [simplify]: Extracting # 8 : cost 0 1.523 * * [simplify]: iteration 0 : 447 enodes (cost 9425 ) 1.657 * * [simplify]: Extracting # 0 : cost 0 1.659 * * [simplify]: Extracting # 1 : cost 0 1.661 * * [simplify]: Extracting # 2 : cost 0 1.663 * * [simplify]: Extracting # 3 : cost 0 1.665 * * [simplify]: Extracting # 4 : cost 0 1.666 * * [simplify]: Extracting # 5 : cost 0 1.668 * * [simplify]: iteration 1 : 1236 enodes (cost 7977 ) 1.959 * * [simplify]: Extracting # 0 : cost 0 1.977 * * [simplify]: Extracting # 1 : cost 0 1.984 * * [simplify]: Extracting # 2 : cost 0 1.991 * * [simplify]: Extracting # 3 : cost 0 1.998 * * [simplify]: Extracting # 4 : cost 0 2.005 * * [simplify]: iteration done: 5001 enodes (cost 6483 ) 2.008 * [simplify]: Simplified to: (expm1 (/ 0.125 (pow x 3))) (log1p (/ 0.125 (pow x 3))) (log (/ 0.125 (pow x 3))) (log (/ 0.125 (pow x 3))) (log (/ 0.125 (pow x 3))) (log (/ 0.125 (pow x 3))) (exp (/ 0.125 (pow x 3))) (pow (/ 0.125 (pow x 3)) 3) (* (cbrt (/ 0.125 (pow x 3))) (cbrt (/ 0.125 (pow x 3)))) (cbrt (/ 0.125 (pow x 3))) (pow (/ 0.125 (pow x 3)) 3) (sqrt (/ 0.125 (pow x 3))) (sqrt (/ 0.125 (pow 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0.5 x)) (/ 0.125 (pow x 3))) (+ (/ 0.5 x) (/ 0.125 (pow x 3))) (/ (- 0.125) (pow x 3)) (/ 0.125 (pow x 3)) (/ 0.125 (pow x 3)) (/ 0.125 (pow x 3)) (- (* 2 x) (+ (/ 0.5 x) (/ 0.125 (pow x 3)))) (- (* 2 x) (+ (/ 0.5 x) (/ 0.125 (pow x 3)))) (- (* 2 x) (+ (/ 0.5 x) (/ 0.125 (pow x 3)))) 2.011 * * * [progress]: adding candidates to table 2.660 * [progress]: [Phase 3 of 3] Extracting. 2.660 * * [regime]: Finding splitpoints for: (# #) 2.660 * * * [regime-changes]: Trying 3 branch expressions: ((+ x (sqrt (- (* x x) 1.0))) (log (+ x (sqrt (- (* x x) 1.0)))) x) 2.660 * * * * [regimes]: Trying to branch on (+ x (sqrt (- (* x x) 1.0))) from (# #) 2.684 * * * * [regimes]: Trying to branch on (log (+ x (sqrt (- (* x x) 1.0)))) from (# #) 2.714 * * * * [regimes]: Trying to branch on x from (# #) 2.729 * * * [regime]: Found split indices: #