40.855 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.074 * * * [progress]: [2/2] Setting up program. 0.077 * [progress]: [Phase 2 of 3] Improving. 0.077 * [simplify]: Simplifying: (log (+ x (sqrt (- (* x x) 1.0)))) 0.077 * [simplify]: Sending expressions to egg_math: (log (+ h0 (sqrt (- (* h0 h0) 1.0)))) 0.097 * * [progress]: iteration 1 / 4 0.097 * * * [progress]: picking best candidate 0.100 * * * * [pick]: Picked # 0.100 * * * [progress]: localizing error 0.111 * * * [progress]: generating rewritten candidates 0.111 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.123 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.162 * * * [progress]: generating series expansions 0.162 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.162 * [backup-simplify]: Simplify (sqrt (- (* x x) 1.0)) into (sqrt (- (pow x 2) 1.0)) 0.162 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.162 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.162 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.162 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [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) 0.164 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.164 * [backup-simplify]: Simplify (- 0) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.165 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.165 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [backup-simplify]: Simplify 1.0 into 1.0 0.166 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.166 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.167 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.168 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.169 * [backup-simplify]: Simplify (- 0) into 0 0.169 * [backup-simplify]: Simplify (+ 1 0) into 1 0.171 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.172 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- 1.0))) into (/ 1/2 (sqrt (- 1.0))) 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.173 * [backup-simplify]: Simplify (- 0) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- 1.0))))))) (* 2 (sqrt (- 1.0)))) into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.175 * [backup-simplify]: Simplify (- 0) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [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)) 0.181 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (- 1.0)) 3)) into (/ -1/8 (pow (sqrt (- 1.0)) 3)) 0.184 * [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)))) 0.184 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.184 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.184 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.184 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (* 1 1) into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [taylor]: Taking taylor expansion of 1.0 in x 0.185 * [backup-simplify]: Simplify 1.0 into 1.0 0.185 * [backup-simplify]: Simplify (+ 1 0) into 1 0.185 * [backup-simplify]: Simplify (sqrt 1) into 1 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.187 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.187 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (* 1 1) into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.187 * [backup-simplify]: Simplify 1.0 into 1.0 0.187 * [backup-simplify]: Simplify (+ 1 0) into 1 0.188 * [backup-simplify]: Simplify (sqrt 1) into 1 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.191 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.193 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.193 * [backup-simplify]: Simplify -0.5 into -0.5 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (- 0) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.199 * [backup-simplify]: Simplify -0.125 into -0.125 0.199 * [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))))) 0.200 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.200 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.200 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.200 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (* 1 1) into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [taylor]: Taking taylor expansion of 1.0 in x 0.200 * [backup-simplify]: Simplify 1.0 into 1.0 0.201 * [backup-simplify]: Simplify (+ 1 0) into 1 0.201 * [backup-simplify]: Simplify (sqrt 1) into 1 0.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.202 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.202 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (* 1 1) into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [taylor]: Taking taylor expansion of 1.0 in x 0.203 * [backup-simplify]: Simplify 1.0 into 1.0 0.203 * [backup-simplify]: Simplify (+ 1 0) into 1 0.204 * [backup-simplify]: Simplify (sqrt 1) into 1 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.208 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.211 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.211 * [backup-simplify]: Simplify -0.5 into -0.5 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (- 0) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.214 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.220 * [backup-simplify]: Simplify -0.125 into -0.125 0.221 * [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) 0.221 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.221 * [backup-simplify]: Simplify (+ x (sqrt (- (* x x) 1.0))) into (+ (sqrt (- (pow x 2) 1.0)) x) 0.221 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 0.221 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.221 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.221 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [taylor]: Taking taylor expansion of 1.0 in x 0.221 * [backup-simplify]: Simplify 1.0 into 1.0 0.222 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.222 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.223 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.224 * [backup-simplify]: Simplify (- 0) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.225 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.225 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.225 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.225 * [taylor]: Taking taylor expansion of x in x 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [taylor]: Taking taylor expansion of 1.0 in x 0.225 * [backup-simplify]: Simplify 1.0 into 1.0 0.225 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.226 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.227 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (+ (sqrt (- 1.0)) 0) into (sqrt (- 1.0)) 0.230 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.231 * [backup-simplify]: Simplify (+ 0 1) into 1 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (* 1 1) into 1 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.232 * [backup-simplify]: Simplify (+ 1 0) into 1 0.240 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.242 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt (- 1.0))) 0) into (* 1/2 (/ 1 (sqrt (- 1.0)))) 0.244 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.246 * [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)))) 0.246 * [backup-simplify]: Simplify (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0))) into (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) 0.246 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.246 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.246 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.246 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.246 * [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 * [backup-simplify]: Simplify (* 1 1) into 1 0.247 * [backup-simplify]: Simplify (/ 1 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 0.248 * [backup-simplify]: Simplify (sqrt 1) into 1 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 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 (/ 1 1) into 1 0.251 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.251 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.251 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (* 1 1) into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.251 * [taylor]: Taking taylor expansion of 1.0 in x 0.252 * [backup-simplify]: Simplify 1.0 into 1.0 0.252 * [backup-simplify]: Simplify (+ 1 0) into 1 0.252 * [backup-simplify]: Simplify (sqrt 1) into 1 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [backup-simplify]: Simplify (+ 1 1) into 2 0.255 * [backup-simplify]: Simplify 2 into 2 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.258 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.260 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.261 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ -0.125 0) into (- 0.125) 0.269 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.269 * [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))))) 0.270 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0))) into (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) 0.270 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.270 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.270 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.270 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (* 1 1) into 1 0.270 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [taylor]: Taking taylor expansion of 1.0 in x 0.270 * [backup-simplify]: Simplify 1.0 into 1.0 0.271 * [backup-simplify]: Simplify (+ 1 0) into 1 0.271 * [backup-simplify]: Simplify (sqrt 1) into 1 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.273 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.273 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (* 1 1) into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [taylor]: Taking taylor expansion of 1.0 in x 0.273 * [backup-simplify]: Simplify 1.0 into 1.0 0.274 * [backup-simplify]: Simplify (+ 1 0) into 1 0.274 * [backup-simplify]: Simplify (sqrt 1) into 1 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (/ 1 1) into 1 0.276 * [backup-simplify]: Simplify (- 1) into -1 0.276 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 into 0 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.279 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.281 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (- 0) into 0 0.282 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.282 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.284 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify (+ -0.125 0) into (- 0.125) 0.292 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.125)) (* 2 (* -0.5 0)))) (* 2 1)) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 0.297 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 0.305 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 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 (+ -0.0625 0) into (- 0.0625) 0.306 * [backup-simplify]: Simplify (- 0.0625) into (- 0.0625) 0.308 * [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)))) 0.308 * * * [progress]: simplifying candidates 0.309 * [simplify]: Simplifying: (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))) (* (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)))) 0.309 * [simplify]: Sending expressions to egg_math: (log (sqrt (- (* h0 h0) 1.0))) (exp (sqrt (- (* h0 h0) 1.0))) (* (cbrt (sqrt (- (* h0 h0) 1.0))) (cbrt (sqrt (- (* h0 h0) 1.0)))) (cbrt (sqrt (- (* h0 h0) 1.0))) (* (* (sqrt (- (* h0 h0) 1.0)) (sqrt (- (* h0 h0) 1.0))) (sqrt (- (* h0 h0) 1.0))) (sqrt (* (cbrt (- (* h0 h0) 1.0)) (cbrt (- (* h0 h0) 1.0)))) (sqrt (cbrt (- (* h0 h0) 1.0))) (sqrt (sqrt (- (* h0 h0) 1.0))) (sqrt (sqrt (- (* h0 h0) 1.0))) (sqrt 1) (sqrt (- (* h0 h0) 1.0)) (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0))) (sqrt (- (pow (* h0 h0) 3) (pow 1.0 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (+ (* 1.0 1.0) (* (* h0 h0) 1.0)))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* 1.0 1.0))) (sqrt (+ (* h0 h0) 1.0)) (/ 1 2) (sqrt (sqrt (- (* h0 h0) 1.0))) (sqrt (sqrt (- (* h0 h0) 1.0))) (* (exp h0) (exp (sqrt (- (* h0 h0) 1.0)))) (log (+ h0 (sqrt (- (* h0 h0) 1.0)))) (exp (+ h0 (sqrt (- (* h0 h0) 1.0)))) (* (cbrt (+ h0 (sqrt (- (* h0 h0) 1.0)))) (cbrt (+ h0 (sqrt (- (* h0 h0) 1.0))))) (cbrt (+ h0 (sqrt (- (* h0 h0) 1.0)))) (* (* (+ h0 (sqrt (- (* h0 h0) 1.0))) (+ h0 (sqrt (- (* h0 h0) 1.0)))) (+ h0 (sqrt (- (* h0 h0) 1.0)))) (sqrt (+ h0 (sqrt (- (* h0 h0) 1.0)))) (sqrt (+ h0 (sqrt (- (* h0 h0) 1.0)))) (+ (pow h0 3) (pow (sqrt (- (* h0 h0) 1.0)) 3)) (+ (* h0 h0) (- (* (sqrt (- (* h0 h0) 1.0)) (sqrt (- (* h0 h0) 1.0))) (* h0 (sqrt (- (* h0 h0) 1.0))))) (- (* h0 h0) (* (sqrt (- (* h0 h0) 1.0)) (sqrt (- (* h0 h0) 1.0)))) (- h0 (sqrt (- (* h0 h0) 1.0))) (+ h0 (sqrt (- (* h0 h0) 1.0))) (- (+ (* h2 (/ (pow h0 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* h1 (/ (pow h0 4) (pow (sqrt (- 1.0)) 3)))) (- h0 (+ (* h4 (/ 1 h0)) (* h3 (/ 1 (pow h0 3))))) (- (+ (* h4 (/ 1 h0)) (* h3 (/ 1 (pow h0 3)))) h0) (+ h0 (+ (* h2 (/ (pow h0 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) (- (* 2 h0) (+ (* h4 (/ 1 h0)) (* h3 (/ 1 (pow h0 3))))) (+ (* h3 (/ 1 (pow h0 3))) (+ (* h5 (/ 1 (pow h0 5))) (* h4 (/ 1 h0)))) 1.219 * * * [progress]: adding candidates to table 1.349 * * [progress]: iteration 2 / 4 1.349 * * * [progress]: picking best candidate 1.354 * * * * [pick]: Picked # 1.354 * * * [progress]: localizing error 1.378 * * * [progress]: generating rewritten candidates 1.378 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 1.480 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.493 * * * [progress]: generating series expansions 1.493 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 1.494 * [backup-simplify]: Simplify (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) into (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) 1.494 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 1.495 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.495 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.495 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 1 into 1 1.495 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.495 * [taylor]: Taking taylor expansion of 1.0 in x 1.495 * [backup-simplify]: Simplify 1.0 into 1.0 1.495 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.496 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.496 * [taylor]: Taking taylor expansion of x in x 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 1 into 1 1.496 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.496 * [taylor]: Taking taylor expansion of 1.0 in x 1.496 * [backup-simplify]: Simplify 1.0 into 1.0 1.496 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.498 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 1.499 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.500 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.502 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 1.504 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.504 * [backup-simplify]: Simplify (- 0) into 0 1.505 * [backup-simplify]: Simplify (+ 1 0) into 1 1.505 * [backup-simplify]: Simplify (+ 1 0) into 1 1.508 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 1.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 1.509 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.509 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.509 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.509 * [taylor]: Taking taylor expansion of x in x 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify 1 into 1 1.509 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.509 * [taylor]: Taking taylor expansion of 1.0 in x 1.509 * [backup-simplify]: Simplify 1.0 into 1.0 1.510 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.510 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.511 * [taylor]: Taking taylor expansion of x in x 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 1 into 1 1.511 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.511 * [taylor]: Taking taylor expansion of 1.0 in x 1.511 * [backup-simplify]: Simplify 1.0 into 1.0 1.511 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.512 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 1.513 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.515 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.516 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 1.519 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.519 * [backup-simplify]: Simplify (- 0) into 0 1.520 * [backup-simplify]: Simplify (+ 1 0) into 1 1.520 * [backup-simplify]: Simplify (+ 1 0) into 1 1.523 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 1.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 1.527 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.528 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.529 * [backup-simplify]: Simplify (- 0) into 0 1.529 * [backup-simplify]: Simplify (+ 0 0) into 0 1.530 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.531 * [backup-simplify]: Simplify (+ 0 0) into 0 1.532 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 1.536 * [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)))) 1.538 * [backup-simplify]: Simplify (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 1.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.539 * [backup-simplify]: Simplify (- 0) into 0 1.540 * [backup-simplify]: Simplify (+ 0 0) into 0 1.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.541 * [backup-simplify]: Simplify (+ 0 0) into 0 1.541 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- (sqrt 1.0)))))) into 0 1.543 * [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 1.543 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.544 * [backup-simplify]: Simplify (- 0) into 0 1.544 * [backup-simplify]: Simplify (+ 0 0) into 0 1.545 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.545 * [backup-simplify]: Simplify (+ 0 0) into 0 1.546 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- (sqrt 1.0))))))) into 0 1.558 * [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)) 1.561 * [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)) 1.569 * [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)))) 1.570 * [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)))) 1.570 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.570 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.570 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.570 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.570 * [taylor]: Taking taylor expansion of x in x 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 1 into 1 1.570 * [backup-simplify]: Simplify (/ 1 1) into 1 1.570 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.570 * [taylor]: Taking taylor expansion of 1.0 in x 1.570 * [backup-simplify]: Simplify 1.0 into 1.0 1.570 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.571 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.571 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.571 * [taylor]: Taking taylor expansion of 1.0 in x 1.571 * [backup-simplify]: Simplify 1.0 into 1.0 1.571 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.572 * [taylor]: Taking taylor expansion of x in x 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [backup-simplify]: Simplify (/ 1 1) into 1 1.572 * [backup-simplify]: Simplify (+ 1 0) into 1 1.572 * [backup-simplify]: Simplify (+ 0 1) into 1 1.573 * [backup-simplify]: Simplify (* 1 1) into 1 1.573 * [backup-simplify]: Simplify (sqrt 1) into 1 1.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.574 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.575 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.576 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.578 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 1.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.578 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.578 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.578 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.578 * [taylor]: Taking taylor expansion of x in x 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify (/ 1 1) into 1 1.579 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.579 * [taylor]: Taking taylor expansion of 1.0 in x 1.579 * [backup-simplify]: Simplify 1.0 into 1.0 1.579 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.579 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.579 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.579 * [taylor]: Taking taylor expansion of 1.0 in x 1.579 * [backup-simplify]: Simplify 1.0 into 1.0 1.580 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.580 * [taylor]: Taking taylor expansion of x in x 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 1 into 1 1.580 * [backup-simplify]: Simplify (/ 1 1) into 1 1.581 * [backup-simplify]: Simplify (+ 1 0) into 1 1.581 * [backup-simplify]: Simplify (+ 0 1) into 1 1.581 * [backup-simplify]: Simplify (* 1 1) into 1 1.581 * [backup-simplify]: Simplify (sqrt 1) into 1 1.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.582 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.583 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.584 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.586 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 1.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.587 * [backup-simplify]: Simplify 1 into 1 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.587 * [backup-simplify]: Simplify (+ 0 0) into 0 1.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.588 * [backup-simplify]: Simplify (- 0) into 0 1.588 * [backup-simplify]: Simplify (+ 0 0) into 0 1.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) (sqrt 1.0)) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 1.595 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 1.596 * [backup-simplify]: Simplify (* -1/2 (pow (sqrt 1.0) 2)) into (* -1/2 (pow (sqrt 1.0) 2)) 1.596 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.597 * [backup-simplify]: Simplify (+ 0 0) into 0 1.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.598 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.599 * [backup-simplify]: Simplify (- 0) into 0 1.599 * [backup-simplify]: Simplify (+ 0 0) into 0 1.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 (sqrt 1.0)) (* 0 1)))) into 0 1.601 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 1.601 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.603 * [backup-simplify]: Simplify (+ 0 0) into 0 1.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.606 * [backup-simplify]: Simplify (- 0) into 0 1.606 * [backup-simplify]: Simplify (+ 0 0) into 0 1.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 0) (+ (* 0 (sqrt 1.0)) (* 0 1))))) into 0 1.616 * [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)) 1.618 * [backup-simplify]: Simplify (* -1/8 (pow (sqrt 1.0) 4)) into (* -1/8 (pow (sqrt 1.0) 4)) 1.622 * [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)))) 1.623 * [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)))) 1.623 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.623 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.623 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.623 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.623 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.623 * [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 1.624 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [backup-simplify]: Simplify (/ 1 1) into 1 1.626 * [backup-simplify]: Simplify (+ 0 1) into 1 1.626 * [backup-simplify]: Simplify (- 1) into -1 1.626 * [backup-simplify]: Simplify (sqrt 0) into 0 1.627 * [backup-simplify]: Simplify (- 1) into -1 1.629 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.629 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.629 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.629 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.629 * [taylor]: Taking taylor expansion of 1.0 in x 1.629 * [backup-simplify]: Simplify 1.0 into 1.0 1.629 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.630 * [taylor]: Taking taylor expansion of x in x 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 1 into 1 1.630 * [backup-simplify]: Simplify (/ 1 1) into 1 1.630 * [backup-simplify]: Simplify (- 1) into -1 1.631 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.631 * [backup-simplify]: Simplify (sqrt 0) into 0 1.633 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.633 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.633 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.633 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.633 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.633 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.633 * [taylor]: Taking taylor expansion of 1.0 in x 1.633 * [backup-simplify]: Simplify 1.0 into 1.0 1.633 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.634 * [taylor]: Taking taylor expansion of x in x 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 1 into 1 1.634 * [backup-simplify]: Simplify (/ 1 1) into 1 1.635 * [backup-simplify]: Simplify (+ 0 1) into 1 1.635 * [backup-simplify]: Simplify (- 1) into -1 1.636 * [backup-simplify]: Simplify (sqrt 0) into 0 1.636 * [backup-simplify]: Simplify (- 1) into -1 1.637 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.637 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.637 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.637 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.637 * [taylor]: Taking taylor expansion of 1.0 in x 1.637 * [backup-simplify]: Simplify 1.0 into 1.0 1.638 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.639 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.639 * [taylor]: Taking taylor expansion of x in x 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 1 into 1 1.639 * [backup-simplify]: Simplify (/ 1 1) into 1 1.640 * [backup-simplify]: Simplify (- 1) into -1 1.640 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.640 * [backup-simplify]: Simplify (sqrt 0) into 0 1.642 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.642 * [backup-simplify]: Simplify (* 0 0) into 0 1.642 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 1.643 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.644 * [backup-simplify]: Simplify (- 0) into 0 1.645 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.649 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 1.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.651 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.655 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 1.661 * [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) 1.661 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.662 * [backup-simplify]: Simplify (- 0) into 0 1.663 * [backup-simplify]: Simplify (+ 0 0) into 0 1.672 * [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))) 1.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.672 * [backup-simplify]: Simplify (+ 0 0) into 0 1.673 * [backup-simplify]: Simplify (- 0) into 0 1.678 * [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))) 1.686 * [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))) 1.688 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.689 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.690 * [backup-simplify]: Simplify (- 0) into 0 1.690 * [backup-simplify]: Simplify (+ 0 0) into 0 1.698 * [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))))) 1.699 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.700 * [backup-simplify]: Simplify (+ 0 0) into 0 1.700 * [backup-simplify]: Simplify (- 0) into 0 1.711 * [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))))) 1.731 * [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))))) 1.736 * [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))))) 1.747 * [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))))))))))) 1.747 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.747 * [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))))) 1.747 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in (x) around 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 1.748 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.748 * [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) 1.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.748 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.748 * [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 1.749 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.750 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 1.750 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.751 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.752 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 1.754 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.754 * [backup-simplify]: Simplify (- 0) into 0 1.754 * [backup-simplify]: Simplify (+ 1 0) into 1 1.754 * [backup-simplify]: Simplify (+ 1 0) into 1 1.756 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 1.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 1.757 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.757 * [taylor]: Taking taylor expansion of x in x 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.757 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.757 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.757 * [taylor]: Taking taylor expansion of x in x 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.757 * [taylor]: Taking taylor expansion of 1.0 in x 1.757 * [backup-simplify]: Simplify 1.0 into 1.0 1.757 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.758 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.758 * [taylor]: Taking taylor expansion of x in x 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 1 into 1 1.758 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.758 * [taylor]: Taking taylor expansion of 1.0 in x 1.758 * [backup-simplify]: Simplify 1.0 into 1.0 1.758 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.762 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 1.763 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.764 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.765 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 1.766 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.767 * [backup-simplify]: Simplify (- 0) into 0 1.767 * [backup-simplify]: Simplify (+ 1 0) into 1 1.767 * [backup-simplify]: Simplify (+ 1 0) into 1 1.769 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 1.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 1.773 * [backup-simplify]: Simplify (+ 0 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.775 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.776 * [backup-simplify]: Simplify (+ 1 0) into 1 1.776 * [backup-simplify]: Simplify 1 into 1 1.777 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.777 * [backup-simplify]: Simplify (- 0) into 0 1.778 * [backup-simplify]: Simplify (+ 0 0) into 0 1.778 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.778 * [backup-simplify]: Simplify (+ 0 0) into 0 1.779 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 1.783 * [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)))) 1.785 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) 1.790 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 1.795 * [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))))) 1.796 * [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)) 1.796 * [approximate]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 1.796 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.796 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.796 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.796 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.796 * [taylor]: Taking taylor expansion of x in x 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.796 * [backup-simplify]: Simplify (/ 1 1) into 1 1.797 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.797 * [taylor]: Taking taylor expansion of 1.0 in x 1.797 * [backup-simplify]: Simplify 1.0 into 1.0 1.797 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.797 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.797 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.797 * [taylor]: Taking taylor expansion of 1.0 in x 1.797 * [backup-simplify]: Simplify 1.0 into 1.0 1.798 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.798 * [taylor]: Taking taylor expansion of x in x 1.798 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify 1 into 1 1.798 * [backup-simplify]: Simplify (/ 1 1) into 1 1.799 * [backup-simplify]: Simplify (+ 1 0) into 1 1.799 * [backup-simplify]: Simplify (+ 0 1) into 1 1.799 * [backup-simplify]: Simplify (* 1 1) into 1 1.799 * [backup-simplify]: Simplify (sqrt 1) into 1 1.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.800 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.801 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.802 * [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 1.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.804 * [taylor]: Taking taylor expansion of x in x 1.804 * [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 1.805 * [backup-simplify]: Simplify (/ 1 1) into 1 1.805 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.805 * [taylor]: Taking taylor expansion of 1.0 in x 1.805 * [backup-simplify]: Simplify 1.0 into 1.0 1.805 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.806 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 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 (/ 1 x) in x 1.807 * [taylor]: Taking taylor expansion of x in x 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify 1 into 1 1.807 * [backup-simplify]: Simplify (/ 1 1) into 1 1.807 * [backup-simplify]: Simplify (+ 1 0) into 1 1.807 * [backup-simplify]: Simplify (+ 0 1) into 1 1.808 * [backup-simplify]: Simplify (* 1 1) into 1 1.808 * [backup-simplify]: Simplify (sqrt 1) into 1 1.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.809 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.810 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.811 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.813 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 1.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.813 * [taylor]: Taking taylor expansion of x in x 1.813 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify 1 into 1 1.813 * [backup-simplify]: Simplify (/ 1 1) into 1 1.814 * [backup-simplify]: Simplify (+ 1 1) into 2 1.814 * [backup-simplify]: Simplify 2 into 2 1.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.814 * [backup-simplify]: Simplify (+ 0 0) into 0 1.814 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.815 * [backup-simplify]: Simplify (+ 0 0) into 0 1.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.816 * [backup-simplify]: Simplify (- 0) into 0 1.816 * [backup-simplify]: Simplify (+ 0 0) into 0 1.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) (sqrt 1.0)) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 1.824 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 1.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.827 * [backup-simplify]: Simplify (+ (* -1/2 (pow (sqrt 1.0) 2)) 0) into (- (* 1/2 (pow (sqrt 1.0) 2))) 1.829 * [backup-simplify]: Simplify (- (* 1/2 (pow (sqrt 1.0) 2))) into (- (* 1/2 (pow (sqrt 1.0) 2))) 1.830 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.831 * [backup-simplify]: Simplify (+ 0 0) into 0 1.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.833 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.834 * [backup-simplify]: Simplify (- 0) into 0 1.834 * [backup-simplify]: Simplify (+ 0 0) into 0 1.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 (sqrt 1.0)) (* 0 1)))) into 0 1.837 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 1.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.838 * [backup-simplify]: Simplify (+ 0 0) into 0 1.838 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.840 * [backup-simplify]: Simplify (+ 0 0) into 0 1.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.842 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.843 * [backup-simplify]: Simplify (- 0) into 0 1.843 * [backup-simplify]: Simplify (+ 0 0) into 0 1.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 0) (+ (* 0 (sqrt 1.0)) (* 0 1))))) into 0 1.851 * [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)) 1.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.854 * [backup-simplify]: Simplify (+ (* -1/8 (pow (sqrt 1.0) 4)) 0) into (- (* 1/8 (pow (sqrt 1.0) 4))) 1.857 * [backup-simplify]: Simplify (- (* 1/8 (pow (sqrt 1.0) 4))) into (- (* 1/8 (pow (sqrt 1.0) 4))) 1.862 * [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)))) 1.863 * [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)) 1.863 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 1.863 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.863 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.863 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.863 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.863 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.863 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.863 * [taylor]: Taking taylor expansion of 1.0 in x 1.863 * [backup-simplify]: Simplify 1.0 into 1.0 1.863 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.864 * [taylor]: Taking taylor expansion of x in x 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify 1 into 1 1.865 * [backup-simplify]: Simplify (/ 1 1) into 1 1.865 * [backup-simplify]: Simplify (+ 0 1) into 1 1.865 * [backup-simplify]: Simplify (- 1) into -1 1.866 * [backup-simplify]: Simplify (sqrt 0) into 0 1.866 * [backup-simplify]: Simplify (- 1) into -1 1.871 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.871 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.871 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.871 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.871 * [taylor]: Taking taylor expansion of 1.0 in x 1.871 * [backup-simplify]: Simplify 1.0 into 1.0 1.872 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.873 * [taylor]: Taking taylor expansion of x in x 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 1 into 1 1.873 * [backup-simplify]: Simplify (/ 1 1) into 1 1.873 * [backup-simplify]: Simplify (- 1) into -1 1.874 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.874 * [backup-simplify]: Simplify (sqrt 0) into 0 1.875 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.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 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.876 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.876 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.876 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.876 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.876 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.876 * [taylor]: Taking taylor expansion of 1.0 in x 1.876 * [backup-simplify]: Simplify 1.0 into 1.0 1.876 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.877 * [taylor]: Taking taylor expansion of x in x 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 1 into 1 1.877 * [backup-simplify]: Simplify (/ 1 1) into 1 1.878 * [backup-simplify]: Simplify (+ 0 1) into 1 1.878 * [backup-simplify]: Simplify (- 1) into -1 1.878 * [backup-simplify]: Simplify (sqrt 0) into 0 1.879 * [backup-simplify]: Simplify (- 1) into -1 1.880 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.880 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.880 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.880 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.880 * [taylor]: Taking taylor expansion of 1.0 in x 1.880 * [backup-simplify]: Simplify 1.0 into 1.0 1.880 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.881 * [taylor]: Taking taylor expansion of x in x 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 1 into 1 1.881 * [backup-simplify]: Simplify (/ 1 1) into 1 1.882 * [backup-simplify]: Simplify (- 1) into -1 1.882 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.882 * [backup-simplify]: Simplify (sqrt 0) into 0 1.884 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.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 1.884 * [backup-simplify]: Simplify (/ 1 1) into 1 1.884 * [backup-simplify]: Simplify (* 0 0) into 0 1.885 * [backup-simplify]: Simplify (+ 0 0) into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 1.886 * [backup-simplify]: Simplify (- 1) into -1 1.886 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.886 * [backup-simplify]: Simplify -1 into -1 1.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.887 * [backup-simplify]: Simplify (- 0) into 0 1.888 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.891 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 1.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.893 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.893 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.897 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 1.902 * [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) 1.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.903 * [backup-simplify]: Simplify (- 0) into 0 1.904 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 1.904 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.906 * [backup-simplify]: Simplify (- 0) into 0 1.906 * [backup-simplify]: Simplify (+ 0 0) into 0 1.913 * [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))) 1.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (+ 0 0) into 0 1.915 * [backup-simplify]: Simplify (- 0) into 0 1.923 * [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))) 1.936 * [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))) 1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (- 0) into 0 1.940 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.943 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.946 * [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))))))) 1.946 * * * [progress]: simplifying candidates 1.948 * [simplify]: Simplifying: (* (+ 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)))) (* (exp x) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (exp (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (* (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3)) (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (- (* x x) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- +nan.0))))))))))) (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (- (* 2 x) (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- x (+ +nan.0 (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (* +nan.0 (/ 1 x))))))) 1.948 * [simplify]: Sending expressions to egg_math: (* (+ h0 (sqrt 1.0)) (- h0 (sqrt 1.0))) (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0)))) (* (+ h0 (sqrt 1.0)) (- h0 (sqrt 1.0))) (+ (log (sqrt (+ h0 (sqrt 1.0)))) (log (sqrt (- h0 (sqrt 1.0))))) (log (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0))))) (exp (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0))))) (* (* (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (+ h0 (sqrt 1.0)))) (sqrt (+ h0 (sqrt 1.0)))) (* (* (sqrt (- h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0)))) (sqrt (- h0 (sqrt 1.0))))) (* (cbrt (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0))))) (cbrt (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0)))))) (cbrt (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0))))) (* (* (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0)))) (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0))))) (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0))))) (* (+ h0 (sqrt 1.0)) (- h0 (sqrt 1.0))) (sqrt (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0))))) (sqrt (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0))))) (* (sqrt (+ (pow h0 3) (pow (sqrt 1.0) 3))) (sqrt (- (pow h0 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (* h0 h0) (- (* (sqrt 1.0) (sqrt 1.0)) (* h0 (sqrt 1.0))))) (sqrt (+ (* h0 h0) (+ (* (sqrt 1.0) (sqrt 1.0)) (* h0 (sqrt 1.0)))))) (* (sqrt (+ (pow h0 3) (pow (sqrt 1.0) 3))) (sqrt (- (* h0 h0) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (* h0 h0) (- (* (sqrt 1.0) (sqrt 1.0)) (* h0 (sqrt 1.0))))) (sqrt (+ h0 (sqrt 1.0)))) (* (sqrt (- (* h0 h0) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (pow h0 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- h0 (sqrt 1.0))) (sqrt (+ (* h0 h0) (+ (* (sqrt 1.0) (sqrt 1.0)) (* h0 (sqrt 1.0)))))) (* (sqrt (- (* h0 h0) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (* h0 h0) (* (sqrt 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(sqrt (+ (sqrt h0) (sqrt (sqrt 1.0))))) (* (sqrt (+ h0 (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (sqrt (- h0 (sqrt 1.0))))) (* (sqrt (+ h0 (sqrt 1.0))) 1) (* (cbrt (sqrt (+ h0 (sqrt 1.0)))) (sqrt (- h0 (sqrt 1.0)))) (* (sqrt (cbrt (+ h0 (sqrt 1.0)))) (sqrt (- h0 (sqrt 1.0)))) (* (sqrt (sqrt (+ h0 (sqrt 1.0)))) (sqrt (- h0 (sqrt 1.0)))) (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0)))) (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0)))) (* (sqrt (sqrt (+ h0 (sqrt 1.0)))) (sqrt (- h0 (sqrt 1.0)))) (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0)))) (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- (pow h0 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- (* h0 h0) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (pow h0 3) (pow (sqrt 1.0) 3))) (sqrt (- h0 (sqrt 1.0)))) (* (sqrt (- (* h0 h0) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- h0 (sqrt 1.0)))) (* (exp h0) (exp (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0)))))) (log (+ h0 (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0)))))) (exp (+ h0 (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0)))))) (* (cbrt (+ h0 (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0)))))) (cbrt (+ h0 (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0))))))) (cbrt (+ h0 (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0)))))) (* (* (+ h0 (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0))))) (+ h0 (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0)))))) (+ h0 (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0)))))) (sqrt (+ h0 (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0)))))) (sqrt (+ h0 (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0)))))) (+ (pow h0 3) (pow (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0)))) 3)) (+ (* h0 h0) (- (* (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0)))) (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0))))) (* h0 (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0))))))) (- (* h0 h0) (* (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0)))) (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0)))))) (- h0 (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0))))) (- (+ (* h2 (/ (pow h0 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (* h1 (/ (pow h0 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- h0 (+ (* h1 (/ (pow (sqrt 1.0) 4) (pow h0 3))) (* h2 (/ (pow (sqrt 1.0) 2) h0)))) (- (+ (* h3 (/ (pow (sqrt 1.0) 2) (pow h0 2))) (- (+ (* h3 (/ (sqrt 1.0) (pow h0 2))) (- (+ (* h3 (/ 1 (pow h0 2))) (- (+ (* h3 (/ 1 h0)) (- (+ (* h3 (/ (sqrt 1.0) h0)) (- h3))))))))))) (+ (* h2 (/ (pow h0 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (+ h0 (sqrt (* -1 (pow (sqrt 1.0) 2))))) (- (* 2 h0) (+ (* h1 (/ (pow (sqrt 1.0) 4) (pow h0 3))) (* h2 (/ (pow (sqrt 1.0) 2) h0)))) (- h0 (+ h3 (- (+ (* h3 (/ (sqrt 1.0) h0)) (- (* h3 (/ 1 h0))))))) 2.557 * * * [progress]: adding candidates to table 2.761 * [progress]: [Phase 3 of 3] Extracting. 2.764 * [simplify]: Simplifying: (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) 2.764 * [simplify]: Sending expressions to egg_math: (log (+ h0 (* (sqrt (+ h0 (sqrt 1.0))) (sqrt (- h0 (sqrt 1.0)))))) 6.278 * [regime-testing]: Baseline error score: 0.05938242280285035 6.286 * [regime-testing]: Oracle error score: 0.05938242280285035 6.286 * [regime-testing]: End program error score: 0.05938242280285035