39.534 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.116 * * * [progress]: [2/2] Setting up program. 0.120 * [progress]: [Phase 2 of 3] Improving. 0.121 * [simplify]: Simplifying: (log (+ x (sqrt (- (* x x) 1.0)))) 0.121 * * [simplify]: Extracting # 0 : cost 0 0.121 * * [simplify]: Extracting # 1 : cost 0 0.121 * * [simplify]: Extracting # 2 : cost 0 0.121 * * [simplify]: Extracting # 3 : cost 0 0.121 * * [simplify]: Extracting # 4 : cost 0 0.121 * * [simplify]: Extracting # 5 : cost 0 0.121 * * [simplify]: Extracting # 6 : cost 0 0.121 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.124 * * [simplify]: Extracting # 0 : cost 0 0.124 * * [simplify]: Extracting # 1 : cost 0 0.124 * * [simplify]: Extracting # 2 : cost 0 0.124 * * [simplify]: iteration 1 : 11 enodes (cost 9 ) 0.128 * * [simplify]: Extracting # 0 : cost 0 0.128 * * [simplify]: iteration 2 : 12 enodes (cost 9 ) 0.131 * * [simplify]: Extracting # 0 : cost 0 0.131 * * [simplify]: iteration done: 12 enodes (cost 9 ) 0.131 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1.0)))) 0.132 * * [progress]: iteration 1 / 4 0.132 * * * [progress]: picking best candidate 0.135 * * * * [pick]: Picked # 0.135 * * * [progress]: localizing error 0.151 * * * [progress]: generating rewritten candidates 0.151 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.165 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.184 * * * [progress]: generating series expansions 0.184 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.184 * [backup-simplify]: Simplify (sqrt (- (* x x) 1.0)) into (sqrt (- (pow x 2) 1.0)) 0.184 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.184 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.184 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in x 0.184 * [backup-simplify]: Simplify 1.0 into 1.0 0.185 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.197 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.198 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.198 * [backup-simplify]: Simplify (- 0) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.199 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.199 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [taylor]: Taking taylor expansion of 1.0 in x 0.199 * [backup-simplify]: Simplify 1.0 into 1.0 0.200 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.200 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.201 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.203 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (* 1 1) into 1 0.203 * [backup-simplify]: Simplify (- 0) into 0 0.203 * [backup-simplify]: Simplify (+ 1 0) into 1 0.205 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.206 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- 1.0))) into (/ 1/2 (sqrt (- 1.0))) 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.207 * [backup-simplify]: Simplify (- 0) into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- 1.0))))))) (* 2 (sqrt (- 1.0)))) into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.209 * [backup-simplify]: Simplify (- 0) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [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)) 0.218 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (- 1.0)) 3)) into (/ -1/8 (pow (sqrt (- 1.0)) 3)) 0.223 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt (- 1.0)) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt (- 1.0))) (pow x 2)) (sqrt (- 1.0)))) into (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) 0.223 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.223 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.223 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.223 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.223 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (* 1 1) into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [taylor]: Taking taylor expansion of 1.0 in x 0.224 * [backup-simplify]: Simplify 1.0 into 1.0 0.224 * [backup-simplify]: Simplify (+ 1 0) into 1 0.225 * [backup-simplify]: Simplify (sqrt 1) into 1 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.227 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.227 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (* 1 1) into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [taylor]: Taking taylor expansion of 1.0 in x 0.228 * [backup-simplify]: Simplify 1.0 into 1.0 0.228 * [backup-simplify]: Simplify (+ 1 0) into 1 0.229 * [backup-simplify]: Simplify (sqrt 1) into 1 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.234 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.238 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.238 * [backup-simplify]: Simplify -0.5 into -0.5 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (- 0) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.249 * [backup-simplify]: Simplify -0.125 into -0.125 0.249 * [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))))) 0.250 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.250 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.250 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.250 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.250 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.251 * [taylor]: Taking taylor expansion of 1.0 in x 0.251 * [backup-simplify]: Simplify 1.0 into 1.0 0.251 * [backup-simplify]: Simplify (+ 1 0) into 1 0.252 * [backup-simplify]: Simplify (sqrt 1) into 1 0.252 * [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 (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.254 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.254 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (* 1 1) into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [taylor]: Taking taylor expansion of 1.0 in x 0.255 * [backup-simplify]: Simplify 1.0 into 1.0 0.256 * [backup-simplify]: Simplify (+ 1 0) into 1 0.256 * [backup-simplify]: Simplify (sqrt 1) into 1 0.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.262 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.265 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.265 * [backup-simplify]: Simplify -0.5 into -0.5 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.278 * [backup-simplify]: Simplify -0.125 into -0.125 0.278 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- x)) 3)) (+ (* -0.5 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) 0.278 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.279 * [backup-simplify]: Simplify (+ x (sqrt (- (* x x) 1.0))) into (+ (sqrt (- (pow x 2) 1.0)) x) 0.279 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 0.279 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.279 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.279 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.279 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.279 * [taylor]: Taking taylor expansion of x in x 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [backup-simplify]: Simplify 1.0 into 1.0 0.279 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.280 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.280 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.281 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.281 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.281 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [taylor]: Taking taylor expansion of 1.0 in x 0.281 * [backup-simplify]: Simplify 1.0 into 1.0 0.281 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.282 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.282 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (+ (sqrt (- 1.0)) 0) into (sqrt (- 1.0)) 0.285 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.285 * [backup-simplify]: Simplify (+ 0 1) into 1 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (* 1 1) into 1 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 1 0) into 1 0.288 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.289 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt (- 1.0))) 0) into (* 1/2 (/ 1 (sqrt (- 1.0)))) 0.291 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.292 * [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)))) 0.292 * [backup-simplify]: Simplify (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0))) into (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) 0.292 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.292 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.292 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.293 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (* 1 1) into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [taylor]: Taking taylor expansion of 1.0 in x 0.293 * [backup-simplify]: Simplify 1.0 into 1.0 0.293 * [backup-simplify]: Simplify (+ 1 0) into 1 0.294 * [backup-simplify]: Simplify (sqrt 1) into 1 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (/ 1 1) into 1 0.295 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.295 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.295 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (* 1 1) into 1 0.296 * [backup-simplify]: Simplify (/ 1 1) into 1 0.296 * [taylor]: Taking taylor expansion of 1.0 in x 0.296 * [backup-simplify]: Simplify 1.0 into 1.0 0.296 * [backup-simplify]: Simplify (+ 1 0) into 1 0.297 * [backup-simplify]: Simplify (sqrt 1) into 1 0.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.299 * [backup-simplify]: Simplify (+ 1 1) into 2 0.299 * [backup-simplify]: Simplify 2 into 2 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.301 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.303 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.304 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ -0.125 0) into (- 0.125) 0.318 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.319 * [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))))) 0.320 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0))) into (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) 0.320 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.320 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.320 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.320 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (* 1 1) into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [taylor]: Taking taylor expansion of 1.0 in x 0.321 * [backup-simplify]: Simplify 1.0 into 1.0 0.321 * [backup-simplify]: Simplify (+ 1 0) into 1 0.322 * [backup-simplify]: Simplify (sqrt 1) into 1 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.324 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.324 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (* 1 1) into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [taylor]: Taking taylor expansion of 1.0 in x 0.325 * [backup-simplify]: Simplify 1.0 into 1.0 0.326 * [backup-simplify]: Simplify (+ 1 0) into 1 0.326 * [backup-simplify]: Simplify (sqrt 1) into 1 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.329 * [backup-simplify]: Simplify (- 1) into -1 0.329 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (- 0) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.334 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.337 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.339 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.339 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (- 0) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (- 0) into 0 0.350 * [backup-simplify]: Simplify (+ -0.125 0) into (- 0.125) 0.350 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (- 0) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.125)) (* 2 (* -0.5 0)))) (* 2 1)) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (- 0) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (- 0) into 0 0.360 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (- 0) into 0 0.367 * [backup-simplify]: Simplify (+ -0.0625 0) into (- 0.0625) 0.367 * [backup-simplify]: Simplify (- 0.0625) into (- 0.0625) 0.368 * [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)))) 0.369 * * * [progress]: simplifying candidates 0.369 * [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)))) 0.370 * * [simplify]: Extracting # 0 : cost 0 0.370 * * [simplify]: Extracting # 1 : cost 0 0.370 * * [simplify]: Extracting # 2 : cost 0 0.370 * * [simplify]: Extracting # 3 : cost 0 0.371 * * [simplify]: Extracting # 4 : cost 0 0.371 * * [simplify]: Extracting # 5 : cost 0 0.371 * * [simplify]: Extracting # 6 : cost 0 0.371 * * [simplify]: Extracting # 7 : cost 0 0.371 * * [simplify]: Extracting # 8 : cost 0 0.371 * * [simplify]: Extracting # 9 : cost 0 0.371 * * [simplify]: iteration 0 : 95 enodes (cost 483 ) 0.394 * * [simplify]: Extracting # 0 : cost 0 0.394 * * [simplify]: Extracting # 1 : cost 0 0.395 * * [simplify]: Extracting # 2 : cost 0 0.395 * * [simplify]: Extracting # 3 : cost 0 0.396 * * [simplify]: iteration 1 : 244 enodes (cost 425 ) 0.580 * * [simplify]: Extracting # 0 : cost 0 0.581 * * [simplify]: Extracting # 1 : cost 0 0.583 * * [simplify]: Extracting # 2 : cost 0 0.585 * * [simplify]: Extracting # 3 : cost 0 0.587 * * [simplify]: Extracting # 4 : cost 0 0.589 * * [simplify]: iteration 2 : 969 enodes (cost 392 ) 1.187 * * [simplify]: Extracting # 0 : cost 0 1.192 * * [simplify]: Extracting # 1 : cost 0 1.210 * * [simplify]: Extracting # 2 : cost 0 1.220 * * [simplify]: Extracting # 3 : cost 0 1.231 * * [simplify]: Extracting # 4 : cost 0 1.241 * * [simplify]: iteration done: 5000 enodes (cost 356 ) 1.242 * [simplify]: Simplified to: (expm1 (hypot (sqrt (- 1.0)) x)) (log1p (hypot (sqrt (- 1.0)) x)) (log (hypot (sqrt (- 1.0)) x)) (exp (hypot (sqrt (- 1.0)) x)) (* (cbrt (hypot (sqrt (- 1.0)) x)) (cbrt (hypot (sqrt (- 1.0)) x))) (cbrt (hypot (sqrt (- 1.0)) x)) (pow (hypot (sqrt (- 1.0)) x) 3) (fabs (cbrt (- (* x x) 1.0))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (hypot (sqrt (- 1.0)) x)) (sqrt (hypot (sqrt (- 1.0)) x)) 1 (hypot (sqrt (- 1.0)) x) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow x 6) (pow 1.0 3))) (sqrt (fma 1.0 (fma x x 1.0) (pow x 4))) (sqrt (- (pow x 4) (* 1.0 1.0))) (sqrt (fma x x 1.0)) 1/2 (sqrt (hypot (sqrt (- 1.0)) x)) (sqrt (hypot (sqrt (- 1.0)) x)) (expm1 (+ (hypot (sqrt (- 1.0)) x) x)) (log1p (+ (hypot (sqrt (- 1.0)) x) x)) (exp (+ x (hypot (sqrt (- 1.0)) x))) (log (+ (hypot (sqrt (- 1.0)) x) x)) (exp (+ x (hypot (sqrt (- 1.0)) x))) (* (cbrt (+ (hypot (sqrt (- 1.0)) x) x)) (cbrt (+ (hypot (sqrt (- 1.0)) x) x))) (cbrt (+ (hypot (sqrt (- 1.0)) x) x)) (pow (+ (hypot (sqrt (- 1.0)) x) x) 3) (sqrt (+ (hypot (sqrt (- 1.0)) x) x)) (sqrt (+ (hypot (sqrt (- 1.0)) x) x)) (+ (pow x 3) (pow (hypot (sqrt (- 1.0)) x) 3)) (- (- (* 2 (* x x)) 1.0) (* (hypot (sqrt (- 1.0)) x) x)) (+ 0 1.0) (- x (hypot (sqrt (- 1.0)) x)) (+ (hypot (sqrt (- 1.0)) x) x) (fma (/ (pow x 4) (pow (sqrt (- 1.0)) 3)) -1/8 (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (sqrt (- 1.0)))) (- (- x (/ 0.5 x)) (/ 0.125 (pow x 3))) (+ (/ 0.5 x) (- (/ 0.125 (pow x 3)) x)) (+ (fma 1/2 (/ (pow x 2) (sqrt (- 1.0))) (sqrt (- 1.0))) x) (- (- (* 2 x) (/ 0.5 x)) (/ 0.125 (pow x 3))) (+ (+ (/ 0.125 (pow x 3)) (/ 0.5 x)) (/ 0.0625 (pow x 5))) 1.243 * * * [progress]: adding candidates to table 1.380 * * [progress]: iteration 2 / 4 1.380 * * * [progress]: picking best candidate 1.382 * * * * [pick]: Picked # 1.382 * * * [progress]: localizing error 1.394 * * * [progress]: generating rewritten candidates 1.394 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 1.457 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.469 * * * [progress]: generating series expansions 1.469 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 1.471 * [backup-simplify]: Simplify (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) into (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) 1.471 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 1.471 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.471 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.471 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) 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 (sqrt 1.0) in x 1.471 * [taylor]: Taking taylor expansion of 1.0 in x 1.471 * [backup-simplify]: Simplify 1.0 into 1.0 1.472 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.472 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) 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 (sqrt 1.0) in x 1.473 * [taylor]: Taking taylor expansion of 1.0 in x 1.473 * [backup-simplify]: Simplify 1.0 into 1.0 1.473 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.474 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 1.475 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.476 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.478 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 1.480 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.481 * [backup-simplify]: Simplify (- 0) into 0 1.481 * [backup-simplify]: Simplify (+ 1 0) into 1 1.481 * [backup-simplify]: Simplify (+ 1 0) into 1 1.484 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 1.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 1.485 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.485 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.485 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.486 * [taylor]: Taking taylor expansion of x in x 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.486 * [taylor]: Taking taylor expansion of 1.0 in x 1.486 * [backup-simplify]: Simplify 1.0 into 1.0 1.486 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.487 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 1 into 1 1.487 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.487 * [taylor]: Taking taylor expansion of 1.0 in x 1.487 * [backup-simplify]: Simplify 1.0 into 1.0 1.487 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.489 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 1.490 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.491 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.492 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 1.494 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.494 * [backup-simplify]: Simplify (- 0) into 0 1.494 * [backup-simplify]: Simplify (+ 1 0) into 1 1.494 * [backup-simplify]: Simplify (+ 1 0) into 1 1.497 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 1.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 1.500 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.500 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.501 * [backup-simplify]: Simplify (- 0) into 0 1.502 * [backup-simplify]: Simplify (+ 0 0) into 0 1.503 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.503 * [backup-simplify]: Simplify (+ 0 0) into 0 1.504 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 1.509 * [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)))) 1.512 * [backup-simplify]: Simplify (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 1.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.514 * [backup-simplify]: Simplify (- 0) into 0 1.514 * [backup-simplify]: Simplify (+ 0 0) into 0 1.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.515 * [backup-simplify]: Simplify (+ 0 0) into 0 1.517 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- (sqrt 1.0)))))) into 0 1.519 * [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 1.519 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.521 * [backup-simplify]: Simplify (- 0) into 0 1.521 * [backup-simplify]: Simplify (+ 0 0) into 0 1.522 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.522 * [backup-simplify]: Simplify (+ 0 0) into 0 1.523 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- (sqrt 1.0))))))) into 0 1.535 * [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)) 1.538 * [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)) 1.544 * [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)))) 1.545 * [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)))) 1.545 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.545 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.545 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.545 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.545 * [taylor]: Taking taylor expansion of x in x 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 1 into 1 1.545 * [backup-simplify]: Simplify (/ 1 1) into 1 1.545 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.545 * [taylor]: Taking taylor expansion of 1.0 in x 1.545 * [backup-simplify]: Simplify 1.0 into 1.0 1.545 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.546 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.546 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.546 * [taylor]: Taking taylor expansion of 1.0 in x 1.546 * [backup-simplify]: Simplify 1.0 into 1.0 1.546 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.547 * [taylor]: Taking taylor expansion of x in x 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 1 into 1 1.547 * [backup-simplify]: Simplify (/ 1 1) into 1 1.547 * [backup-simplify]: Simplify (+ 1 0) into 1 1.547 * [backup-simplify]: Simplify (+ 0 1) into 1 1.548 * [backup-simplify]: Simplify (* 1 1) into 1 1.548 * [backup-simplify]: Simplify (sqrt 1) into 1 1.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.549 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.550 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.550 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.552 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 1.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.553 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.553 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.553 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.553 * [taylor]: Taking taylor expansion of x in x 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.553 * [backup-simplify]: Simplify (/ 1 1) into 1 1.553 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.553 * [taylor]: Taking taylor expansion of 1.0 in x 1.553 * [backup-simplify]: Simplify 1.0 into 1.0 1.553 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.554 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.554 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.554 * [taylor]: Taking taylor expansion of 1.0 in x 1.554 * [backup-simplify]: Simplify 1.0 into 1.0 1.554 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.554 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.554 * [taylor]: Taking taylor expansion of x in x 1.554 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify 1 into 1 1.555 * [backup-simplify]: Simplify (/ 1 1) into 1 1.555 * [backup-simplify]: Simplify (+ 1 0) into 1 1.555 * [backup-simplify]: Simplify (+ 0 1) into 1 1.555 * [backup-simplify]: Simplify (* 1 1) into 1 1.556 * [backup-simplify]: Simplify (sqrt 1) into 1 1.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.557 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.557 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.558 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.560 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 1.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.560 * [backup-simplify]: Simplify 1 into 1 1.561 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.561 * [backup-simplify]: Simplify (+ 0 0) into 0 1.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.562 * [backup-simplify]: Simplify (- 0) into 0 1.562 * [backup-simplify]: Simplify (+ 0 0) into 0 1.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) (sqrt 1.0)) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 1.569 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 1.570 * [backup-simplify]: Simplify (* -1/2 (pow (sqrt 1.0) 2)) into (* -1/2 (pow (sqrt 1.0) 2)) 1.571 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.573 * [backup-simplify]: Simplify (+ 0 0) into 0 1.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.575 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.575 * [backup-simplify]: Simplify (- 0) into 0 1.575 * [backup-simplify]: Simplify (+ 0 0) into 0 1.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 (sqrt 1.0)) (* 0 1)))) into 0 1.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 1.577 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.579 * [backup-simplify]: Simplify (+ 0 0) into 0 1.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.580 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.580 * [backup-simplify]: Simplify (- 0) into 0 1.581 * [backup-simplify]: Simplify (+ 0 0) into 0 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 0) (+ (* 0 (sqrt 1.0)) (* 0 1))))) into 0 1.586 * [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)) 1.587 * [backup-simplify]: Simplify (* -1/8 (pow (sqrt 1.0) 4)) into (* -1/8 (pow (sqrt 1.0) 4)) 1.589 * [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)))) 1.589 * [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)))) 1.589 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.589 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.589 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.589 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.589 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.589 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.589 * [taylor]: Taking taylor expansion of 1.0 in x 1.589 * [backup-simplify]: Simplify 1.0 into 1.0 1.590 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.590 * [taylor]: Taking taylor expansion of x in x 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 1 into 1 1.590 * [backup-simplify]: Simplify (/ 1 1) into 1 1.591 * [backup-simplify]: Simplify (+ 0 1) into 1 1.591 * [backup-simplify]: Simplify (- 1) into -1 1.591 * [backup-simplify]: Simplify (sqrt 0) into 0 1.591 * [backup-simplify]: Simplify (- 1) into -1 1.592 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.592 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.592 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.592 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.592 * [taylor]: Taking taylor expansion of 1.0 in x 1.592 * [backup-simplify]: Simplify 1.0 into 1.0 1.593 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.593 * [backup-simplify]: Simplify (/ 1 1) into 1 1.594 * [backup-simplify]: Simplify (- 1) into -1 1.594 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.594 * [backup-simplify]: Simplify (sqrt 0) into 0 1.595 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.595 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.595 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.595 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.595 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.595 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.595 * [taylor]: Taking taylor expansion of 1.0 in x 1.595 * [backup-simplify]: Simplify 1.0 into 1.0 1.595 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.596 * [taylor]: Taking taylor expansion of x in x 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [backup-simplify]: Simplify (/ 1 1) into 1 1.596 * [backup-simplify]: Simplify (+ 0 1) into 1 1.596 * [backup-simplify]: Simplify (- 1) into -1 1.597 * [backup-simplify]: Simplify (sqrt 0) into 0 1.597 * [backup-simplify]: Simplify (- 1) into -1 1.598 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.598 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.598 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.598 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.598 * [taylor]: Taking taylor expansion of 1.0 in x 1.598 * [backup-simplify]: Simplify 1.0 into 1.0 1.598 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.598 * [taylor]: Taking taylor expansion of x in x 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.599 * [backup-simplify]: Simplify (/ 1 1) into 1 1.599 * [backup-simplify]: Simplify (- 1) into -1 1.599 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.599 * [backup-simplify]: Simplify (sqrt 0) into 0 1.600 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.600 * [backup-simplify]: Simplify (* 0 0) into 0 1.600 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.601 * [backup-simplify]: Simplify (- 0) into 0 1.602 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.604 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 1.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.605 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.605 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.608 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 1.611 * [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) 1.611 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.612 * [backup-simplify]: Simplify (- 0) into 0 1.612 * [backup-simplify]: Simplify (+ 0 0) into 0 1.621 * [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))) 1.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.622 * [backup-simplify]: Simplify (+ 0 0) into 0 1.622 * [backup-simplify]: Simplify (- 0) into 0 1.627 * [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))) 1.635 * [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))) 1.636 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.637 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.638 * [backup-simplify]: Simplify (- 0) into 0 1.638 * [backup-simplify]: Simplify (+ 0 0) into 0 1.646 * [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))))) 1.647 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.647 * [backup-simplify]: Simplify (+ 0 0) into 0 1.648 * [backup-simplify]: Simplify (- 0) into 0 1.656 * [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))))) 1.685 * [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))))) 1.693 * [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))))) 1.703 * [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))))))))))) 1.703 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.704 * [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))))) 1.704 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in (x) around 0 1.704 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify 1 into 1 1.704 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.704 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.704 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify 1 into 1 1.704 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.704 * [taylor]: Taking taylor expansion of 1.0 in x 1.704 * [backup-simplify]: Simplify 1.0 into 1.0 1.705 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.705 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.705 * [taylor]: Taking taylor expansion of x in x 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 1 into 1 1.705 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.705 * [taylor]: Taking taylor expansion of 1.0 in x 1.705 * [backup-simplify]: Simplify 1.0 into 1.0 1.706 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.707 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 1.708 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.709 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.711 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 1.713 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.713 * [backup-simplify]: Simplify (- 0) into 0 1.713 * [backup-simplify]: Simplify (+ 1 0) into 1 1.714 * [backup-simplify]: Simplify (+ 1 0) into 1 1.716 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 1.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 1.717 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 1.718 * [taylor]: Taking taylor expansion of x in x 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.718 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 1.718 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 1.718 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 1.718 * [taylor]: Taking taylor expansion of x in x 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.718 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.718 * [taylor]: Taking taylor expansion of 1.0 in x 1.718 * [backup-simplify]: Simplify 1.0 into 1.0 1.718 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.719 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.719 * [taylor]: Taking taylor expansion of x in x 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 1 into 1 1.719 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.719 * [taylor]: Taking taylor expansion of 1.0 in x 1.719 * [backup-simplify]: Simplify 1.0 into 1.0 1.719 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.721 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 1.728 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.729 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.731 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 1.733 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.733 * [backup-simplify]: Simplify (- 0) into 0 1.734 * [backup-simplify]: Simplify (+ 1 0) into 1 1.734 * [backup-simplify]: Simplify (+ 1 0) into 1 1.737 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 1.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 1.741 * [backup-simplify]: Simplify (+ 0 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.743 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.743 * [backup-simplify]: Simplify (+ 1 0) into 1 1.743 * [backup-simplify]: Simplify 1 into 1 1.744 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.745 * [backup-simplify]: Simplify (- 0) into 0 1.745 * [backup-simplify]: Simplify (+ 0 0) into 0 1.746 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.746 * [backup-simplify]: Simplify (+ 0 0) into 0 1.747 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 1.752 * [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)))) 1.756 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) 1.760 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 1.766 * [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))))) 1.767 * [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)) 1.767 * [approximate]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 1.767 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.767 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.767 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.767 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.767 * [taylor]: Taking taylor expansion of x in x 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 1 into 1 1.767 * [backup-simplify]: Simplify (/ 1 1) into 1 1.767 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.767 * [taylor]: Taking taylor expansion of 1.0 in x 1.768 * [backup-simplify]: Simplify 1.0 into 1.0 1.768 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.769 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.769 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.769 * [taylor]: Taking taylor expansion of 1.0 in x 1.769 * [backup-simplify]: Simplify 1.0 into 1.0 1.769 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.770 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.770 * [taylor]: Taking taylor expansion of x in x 1.770 * [backup-simplify]: Simplify 0 into 0 1.770 * [backup-simplify]: Simplify 1 into 1 1.770 * [backup-simplify]: Simplify (/ 1 1) into 1 1.770 * [backup-simplify]: Simplify (+ 1 0) into 1 1.771 * [backup-simplify]: Simplify (+ 0 1) into 1 1.771 * [backup-simplify]: Simplify (* 1 1) into 1 1.771 * [backup-simplify]: Simplify (sqrt 1) into 1 1.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.773 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.774 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.775 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.778 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 1.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.778 * [taylor]: Taking taylor expansion of x in x 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (/ 1 1) into 1 1.779 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.779 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 1.779 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 1.779 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.779 * [taylor]: Taking taylor expansion of x in x 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 1 into 1 1.779 * [backup-simplify]: Simplify (/ 1 1) into 1 1.779 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.780 * [taylor]: Taking taylor expansion of 1.0 in x 1.780 * [backup-simplify]: Simplify 1.0 into 1.0 1.780 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.781 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.781 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.781 * [taylor]: Taking taylor expansion of 1.0 in x 1.781 * [backup-simplify]: Simplify 1.0 into 1.0 1.781 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.782 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.782 * [taylor]: Taking taylor expansion of x in x 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify 1 into 1 1.782 * [backup-simplify]: Simplify (/ 1 1) into 1 1.782 * [backup-simplify]: Simplify (+ 1 0) into 1 1.783 * [backup-simplify]: Simplify (+ 0 1) into 1 1.783 * [backup-simplify]: Simplify (* 1 1) into 1 1.783 * [backup-simplify]: Simplify (sqrt 1) into 1 1.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.785 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.786 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.787 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.790 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 1.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.790 * [taylor]: Taking taylor expansion of x in x 1.790 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 1 into 1 1.791 * [backup-simplify]: Simplify (/ 1 1) into 1 1.791 * [backup-simplify]: Simplify (+ 1 1) into 2 1.791 * [backup-simplify]: Simplify 2 into 2 1.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.792 * [backup-simplify]: Simplify (+ 0 0) into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.793 * [backup-simplify]: Simplify (+ 0 0) into 0 1.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.793 * [backup-simplify]: Simplify (- 0) into 0 1.794 * [backup-simplify]: Simplify (+ 0 0) into 0 1.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) (sqrt 1.0)) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 1.799 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 1.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.802 * [backup-simplify]: Simplify (+ (* -1/2 (pow (sqrt 1.0) 2)) 0) into (- (* 1/2 (pow (sqrt 1.0) 2))) 1.803 * [backup-simplify]: Simplify (- (* 1/2 (pow (sqrt 1.0) 2))) into (- (* 1/2 (pow (sqrt 1.0) 2))) 1.804 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.805 * [backup-simplify]: Simplify (+ 0 0) into 0 1.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.806 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.806 * [backup-simplify]: Simplify (- 0) into 0 1.807 * [backup-simplify]: Simplify (+ 0 0) into 0 1.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 (sqrt 1.0)) (* 0 1)))) into 0 1.808 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 1.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.809 * [backup-simplify]: Simplify (+ 0 0) into 0 1.809 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.811 * [backup-simplify]: Simplify (+ 0 0) into 0 1.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.812 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.812 * [backup-simplify]: Simplify (- 0) into 0 1.812 * [backup-simplify]: Simplify (+ 0 0) into 0 1.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 0) (+ (* 0 (sqrt 1.0)) (* 0 1))))) into 0 1.818 * [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)) 1.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.820 * [backup-simplify]: Simplify (+ (* -1/8 (pow (sqrt 1.0) 4)) 0) into (- (* 1/8 (pow (sqrt 1.0) 4))) 1.822 * [backup-simplify]: Simplify (- (* 1/8 (pow (sqrt 1.0) 4))) into (- (* 1/8 (pow (sqrt 1.0) 4))) 1.826 * [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)))) 1.826 * [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)) 1.826 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 1.826 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.826 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.826 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.826 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.826 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.827 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.827 * [taylor]: Taking taylor expansion of 1.0 in x 1.827 * [backup-simplify]: Simplify 1.0 into 1.0 1.827 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.827 * [taylor]: Taking taylor expansion of x in x 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify 1 into 1 1.828 * [backup-simplify]: Simplify (/ 1 1) into 1 1.828 * [backup-simplify]: Simplify (+ 0 1) into 1 1.828 * [backup-simplify]: Simplify (- 1) into -1 1.828 * [backup-simplify]: Simplify (sqrt 0) into 0 1.829 * [backup-simplify]: Simplify (- 1) into -1 1.829 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.830 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.830 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.830 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.830 * [taylor]: Taking taylor expansion of 1.0 in x 1.830 * [backup-simplify]: Simplify 1.0 into 1.0 1.830 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.835 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.835 * [taylor]: Taking taylor expansion of x in x 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 1 into 1 1.835 * [backup-simplify]: Simplify (/ 1 1) into 1 1.836 * [backup-simplify]: Simplify (- 1) into -1 1.836 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.836 * [backup-simplify]: Simplify (sqrt 0) into 0 1.837 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.837 * [taylor]: Taking taylor expansion of x in x 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 1 into 1 1.837 * [backup-simplify]: Simplify (/ 1 1) into 1 1.837 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.837 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.837 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.837 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.837 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.837 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.837 * [taylor]: Taking taylor expansion of 1.0 in x 1.837 * [backup-simplify]: Simplify 1.0 into 1.0 1.838 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.838 * [taylor]: Taking taylor expansion of x in x 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify 1 into 1 1.838 * [backup-simplify]: Simplify (/ 1 1) into 1 1.839 * [backup-simplify]: Simplify (+ 0 1) into 1 1.839 * [backup-simplify]: Simplify (- 1) into -1 1.839 * [backup-simplify]: Simplify (sqrt 0) into 0 1.840 * [backup-simplify]: Simplify (- 1) into -1 1.840 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.840 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.840 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.840 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.840 * [taylor]: Taking taylor expansion of 1.0 in x 1.840 * [backup-simplify]: Simplify 1.0 into 1.0 1.841 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.841 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.841 * [taylor]: Taking taylor expansion of x in x 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 1 into 1 1.842 * [backup-simplify]: Simplify (/ 1 1) into 1 1.842 * [backup-simplify]: Simplify (- 1) into -1 1.842 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.842 * [backup-simplify]: Simplify (sqrt 0) into 0 1.843 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.843 * [taylor]: Taking taylor expansion of x in x 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.843 * [backup-simplify]: Simplify (/ 1 1) into 1 1.844 * [backup-simplify]: Simplify (* 0 0) into 0 1.844 * [backup-simplify]: Simplify (+ 0 0) into 0 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 1.844 * [backup-simplify]: Simplify (- 1) into -1 1.845 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.845 * [backup-simplify]: Simplify -1 into -1 1.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.845 * [backup-simplify]: Simplify (- 0) into 0 1.846 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.849 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 1.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.851 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.851 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.855 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 1.860 * [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) 1.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.861 * [backup-simplify]: Simplify (- 0) into 0 1.862 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 1.863 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (- 0) into 0 1.864 * [backup-simplify]: Simplify (+ 0 0) into 0 1.870 * [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))) 1.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.871 * [backup-simplify]: Simplify (+ 0 0) into 0 1.871 * [backup-simplify]: Simplify (- 0) into 0 1.876 * [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))) 1.884 * [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))) 1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.885 * [backup-simplify]: Simplify (- 0) into 0 1.888 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.890 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.894 * [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))))))) 1.894 * * * [progress]: simplifying candidates 1.896 * [simplify]: Simplifying: (expm1 (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log1p (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (+ (log (sqrt (+ x (sqrt 1.0)))) (log (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (* (sqrt (- x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))))) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (* (cbrt (- x (sqrt 1.0))) (cbrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) 1) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (expm1 (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log1p (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (exp x) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (exp (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (* (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3)) (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (- (* x x) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- +nan.0))))))))))) (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (- (* 2 x) (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- x (+ +nan.0 (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (* +nan.0 (/ 1 x))))))) 1.899 * * [simplify]: Extracting # 0 : cost 0 1.900 * * [simplify]: Extracting # 1 : cost 0 1.900 * * [simplify]: Extracting # 2 : cost 0 1.900 * * [simplify]: Extracting # 3 : cost 0 1.900 * * [simplify]: Extracting # 4 : cost 0 1.901 * * [simplify]: Extracting # 5 : cost 0 1.901 * * [simplify]: Extracting # 6 : cost 0 1.901 * * [simplify]: Extracting # 7 : cost 0 1.902 * * [simplify]: Extracting # 8 : cost 0 1.902 * * [simplify]: Extracting # 9 : cost 0 1.902 * * [simplify]: Extracting # 10 : cost 0 1.903 * * [simplify]: Extracting # 11 : cost 0 1.903 * * [simplify]: Extracting # 12 : cost 0 1.903 * * [simplify]: Extracting # 13 : cost 0 1.903 * * [simplify]: iteration 0 : 156 enodes (cost 1202 ) 1.943 * * [simplify]: Extracting # 0 : cost 0 1.944 * * [simplify]: Extracting # 1 : cost 0 1.945 * * [simplify]: Extracting # 2 : cost 0 1.945 * * [simplify]: Extracting # 3 : cost 0 1.946 * * [simplify]: Extracting # 4 : cost 0 1.947 * * [simplify]: iteration 1 : 389 enodes (cost 1024 ) 2.179 * * [simplify]: Extracting # 0 : cost 0 2.180 * * [simplify]: Extracting # 1 : cost 0 2.182 * * [simplify]: Extracting # 2 : cost 0 2.184 * * [simplify]: Extracting # 3 : cost 0 2.186 * * [simplify]: Extracting # 4 : cost 0 2.188 * * [simplify]: iteration 2 : 1566 enodes (cost 951 ) 2.943 * * [simplify]: Extracting # 0 : cost 0 2.949 * * [simplify]: Extracting # 1 : cost 0 2.955 * * [simplify]: Extracting # 2 : cost 0 2.962 * * [simplify]: Extracting # 3 : cost 0 2.969 * * [simplify]: Extracting # 4 : cost 0 2.980 * * [simplify]: iteration done: 5000 enodes (cost 944 ) 2.982 * [simplify]: Simplified to: (expm1 (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log1p (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (fma x x (- 1.0)) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (fma x x (- 1.0)) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3) (fma x x (- 1.0)) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (hypot (pow (sqrt 1.0) 3/2) (pow x 3/2)) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (fma x x (fma x (sqrt 1.0) 1.0))) (sqrt (fma x x (- 1.0 (* x (sqrt 1.0)))))) (* (hypot (pow (sqrt 1.0) 3/2) (pow x 3/2)) (hypot x (sqrt (- 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (fma x x (- 1.0 (* x (sqrt 1.0)))))) (* (hypot x (sqrt (- 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (fma x x (fma x (sqrt 1.0) 1.0)))) (fma x x (- 1.0)) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (fabs (cbrt (- x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (hypot x (sqrt (- 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- x (sqrt 1.0))) (hypot (pow (sqrt 1.0) 3/2) (pow x 3/2))) (* (hypot x (sqrt (- 1.0))) (sqrt (- x (sqrt 1.0)))) (expm1 (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log1p (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (* (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (pow (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) 3) (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3)) (- (fma x x (fma x x (- 1.0))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (- (* x x) (fma x x (- 1.0))) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (fma (/ (pow x 4) (pow (sqrt (- 1.0)) 3)) -1/8 (fma 1/2 (/ (* x x) (sqrt (- 1.0))) (sqrt (- 1.0)))) (- x (fma 1/8 (/ (* 1.0 1.0) (pow x 3)) (* 1/2 (/ 1.0 x)))) (fma +nan.0 (- (/ 1.0 (* x x))) (- (fma (/ +nan.0 x) (/ (sqrt 1.0) x) (- (/ +nan.0 x) (- (* +nan.0 (/ (sqrt 1.0) x)) +nan.0))) (/ +nan.0 (* x x)))) (fma 1/2 (/ (* x x) (sqrt (- 1.0))) (+ x (sqrt (- 1.0)))) (- (* 2 x) (fma 1/8 (/ (* 1.0 1.0) (pow x 3)) (* 1/2 (/ 1.0 x)))) (- x (- (/ +nan.0 x) (- (* +nan.0 (/ (sqrt 1.0) x)) +nan.0))) 2.982 * * * [progress]: adding candidates to table 3.590 * [progress]: [Phase 3 of 3] Extracting. 3.592 * [simplify]: Simplifying: (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) 3.592 * * [simplify]: Extracting # 0 : cost 0 3.592 * * [simplify]: Extracting # 1 : cost 0 3.592 * * [simplify]: Extracting # 2 : cost 0 3.592 * * [simplify]: Extracting # 3 : cost 0 3.592 * * [simplify]: Extracting # 4 : cost 0 3.592 * * [simplify]: Extracting # 5 : cost 0 3.593 * * [simplify]: Extracting # 6 : cost 0 3.593 * * [simplify]: Extracting # 7 : cost 0 3.593 * * [simplify]: Extracting # 8 : cost 0 3.593 * * [simplify]: iteration 0 : 10 enodes (cost 14 ) 3.593 * * [simplify]: Extracting # 0 : cost 0 3.593 * * [simplify]: iteration 1 : 13 enodes (cost 14 ) 3.594 * * [simplify]: Extracting # 0 : cost 0 3.594 * * [simplify]: iteration done: 13 enodes (cost 14 ) 3.594 * [simplify]: Simplified to: (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) 7.242 * [regime-testing]: Baseline error score: 0.09088636079509939 7.244 * [regime-testing]: Oracle error score: 0.09088636079509939 7.244 * [regime-testing]: End program error score: 0.09088636079509939