72.934 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.075 * * * [progress]: [2/2] Setting up program. 0.080 * [progress]: [Phase 2 of 3] Improving. 0.081 * [simplify]: Simplifying: (log (+ x (sqrt (- (* x x) 1.0)))) 0.081 * * [simplify]: iteration 0: 7 enodes 0.083 * * [simplify]: iteration 1: 11 enodes 0.085 * * [simplify]: iteration 2: 12 enodes 0.088 * * [simplify]: iteration complete: 12 enodes 0.088 * * [simplify]: Extracting #0: cost 1 inf + 0 0.088 * * [simplify]: Extracting #1: cost 2 inf + 0 0.088 * * [simplify]: Extracting #2: cost 4 inf + 0 0.088 * * [simplify]: Extracting #3: cost 4 inf + 1 0.088 * * [simplify]: Extracting #4: cost 7 inf + 1 0.088 * * [simplify]: Extracting #5: cost 0 inf + 682 0.088 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1.0)))) 0.089 * * [progress]: iteration 1 / 4 0.089 * * * [progress]: picking best candidate 0.094 * * * * [pick]: Picked # 0.094 * * * [progress]: localizing error 0.112 * * * [progress]: generating rewritten candidates 0.112 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.128 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.161 * * * [progress]: generating series expansions 0.161 * * * * [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) 0.163 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.164 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.165 * [backup-simplify]: Simplify (- 0) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.166 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.166 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * [backup-simplify]: Simplify 1.0 into 1.0 0.166 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.167 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.168 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.168 * [backup-simplify]: Simplify (- 0) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.170 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.170 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (* 1 1) into 1 0.171 * [backup-simplify]: Simplify (- 0) into 0 0.172 * [backup-simplify]: Simplify (+ 1 0) into 1 0.175 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.176 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- 1.0))) into (/ 1/2 (sqrt (- 1.0))) 0.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.177 * [backup-simplify]: Simplify (- 0) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- 1.0))))))) (* 2 (sqrt (- 1.0)))) into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.180 * [backup-simplify]: Simplify (- 0) into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [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)) 0.188 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (- 1.0)) 3)) into (/ -1/8 (pow (sqrt (- 1.0)) 3)) 0.193 * [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 (- (+ (sqrt (- 1.0)) (* 1/2 (/ (pow x 2) (sqrt (- 1.0))))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) 0.193 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.193 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.193 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.193 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (* 1 1) into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [taylor]: Taking taylor expansion of 1.0 in x 0.194 * [backup-simplify]: Simplify 1.0 into 1.0 0.194 * [backup-simplify]: Simplify (+ 1 0) into 1 0.194 * [backup-simplify]: Simplify (sqrt 1) into 1 0.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.197 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.197 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.197 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (* 1 1) into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.197 * [taylor]: Taking taylor expansion of 1.0 in x 0.197 * [backup-simplify]: Simplify 1.0 into 1.0 0.198 * [backup-simplify]: Simplify (+ 1 0) into 1 0.198 * [backup-simplify]: Simplify (sqrt 1) into 1 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.202 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.204 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.204 * [backup-simplify]: Simplify -0.5 into -0.5 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (- 0) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (- 0) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.210 * [backup-simplify]: Simplify -0.125 into -0.125 0.210 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 x) 3)) (+ (* -0.5 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) 0.211 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.211 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.211 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.211 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (* 1 1) into 1 0.211 * [backup-simplify]: Simplify (/ 1 1) into 1 0.211 * [taylor]: Taking taylor expansion of 1.0 in x 0.211 * [backup-simplify]: Simplify 1.0 into 1.0 0.212 * [backup-simplify]: Simplify (+ 1 0) into 1 0.212 * [backup-simplify]: Simplify (sqrt 1) into 1 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.213 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.213 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.213 * [taylor]: Taking taylor expansion of x in x 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [taylor]: Taking taylor expansion of 1.0 in x 0.214 * [backup-simplify]: Simplify 1.0 into 1.0 0.214 * [backup-simplify]: Simplify (+ 1 0) into 1 0.215 * [backup-simplify]: Simplify (sqrt 1) into 1 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.218 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.220 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.220 * [backup-simplify]: Simplify -0.5 into -0.5 0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (- 0) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.227 * [backup-simplify]: Simplify -0.125 into -0.125 0.227 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- x)) 3)) (+ (* -0.5 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x))) x) 0.227 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.227 * [backup-simplify]: Simplify (+ x (sqrt (- (* x x) 1.0))) into (+ x (sqrt (- (pow x 2) 1.0))) 0.227 * [approximate]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1.0))) in (x) around 0 0.227 * [taylor]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1.0))) 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 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.227 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in x 0.227 * [backup-simplify]: Simplify 1.0 into 1.0 0.228 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.228 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.229 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.230 * [taylor]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1.0))) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.230 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.230 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [taylor]: Taking taylor expansion of 1.0 in x 0.230 * [backup-simplify]: Simplify 1.0 into 1.0 0.230 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.231 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.231 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.233 * [backup-simplify]: Simplify (+ 0 (sqrt (- 1.0))) into (sqrt (- 1.0)) 0.234 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.234 * [backup-simplify]: Simplify (+ 1 0) into 1 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (* 1 1) into 1 0.234 * [backup-simplify]: Simplify (- 0) into 0 0.235 * [backup-simplify]: Simplify (+ 1 0) into 1 0.237 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.238 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt (- 1.0)))) into (* 1/2 (/ 1 (sqrt (- 1.0)))) 0.239 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.241 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt (- 1.0))) (pow x 2)) (+ (* 1 x) (sqrt (- 1.0)))) into (+ x (+ (sqrt (- 1.0)) (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))))) 0.241 * [backup-simplify]: Simplify (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0))) into (+ (/ 1 x) (sqrt (- (/ 1 (pow x 2)) 1.0))) 0.241 * [approximate]: Taking taylor expansion of (+ (/ 1 x) (sqrt (- (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (sqrt (- (/ 1 (pow x 2)) 1.0))) in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.242 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (* 1 1) into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [taylor]: Taking taylor expansion of 1.0 in x 0.243 * [backup-simplify]: Simplify 1.0 into 1.0 0.243 * [backup-simplify]: Simplify (+ 1 0) into 1 0.244 * [backup-simplify]: Simplify (sqrt 1) into 1 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (sqrt (- (/ 1 (pow x 2)) 1.0))) in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (/ 1 1) into 1 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 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (* 1 1) into 1 0.246 * [backup-simplify]: Simplify (/ 1 1) into 1 0.246 * [taylor]: Taking taylor expansion of 1.0 in x 0.246 * [backup-simplify]: Simplify 1.0 into 1.0 0.247 * [backup-simplify]: Simplify (+ 1 0) into 1 0.247 * [backup-simplify]: Simplify (sqrt 1) into 1 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.249 * [backup-simplify]: Simplify (+ 1 1) into 2 0.249 * [backup-simplify]: Simplify 2 into 2 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 into 0 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.259 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.262 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.263 * [backup-simplify]: Simplify (+ 0 -0.5) into (- 0.5) 0.263 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 0.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 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) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.273 * [backup-simplify]: Simplify (+ 0 -0.125) into (- 0.125) 0.273 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.274 * [backup-simplify]: Simplify (+ (* (- 0.125) (pow (/ 1 x) 3)) (+ (* (- 0.5) (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) 0.274 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0))) into (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) 0.274 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.274 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.274 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.275 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.275 * [backup-simplify]: Simplify (* 1 1) into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [taylor]: Taking taylor expansion of 1.0 in x 0.275 * [backup-simplify]: Simplify 1.0 into 1.0 0.276 * [backup-simplify]: Simplify (+ 1 0) into 1 0.276 * [backup-simplify]: Simplify (sqrt 1) into 1 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.279 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.279 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [taylor]: Taking taylor expansion of 1.0 in x 0.279 * [backup-simplify]: Simplify 1.0 into 1.0 0.280 * [backup-simplify]: Simplify (+ 1 0) into 1 0.280 * [backup-simplify]: Simplify (sqrt 1) into 1 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [backup-simplify]: Simplify (- 1) into -1 0.283 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.287 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.290 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.292 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 0.295 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.296 * [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 1))))) into 0 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 0.302 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (- 0) into 0 0.304 * [backup-simplify]: Simplify (+ -0.125 0) into (- 0.125) 0.304 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.125)) (* 2 (* -0.5 0)))) (* 2 1)) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify (+ -0.0625 0) into (- 0.0625) 0.319 * [backup-simplify]: Simplify (- 0.0625) into (- 0.0625) 0.320 * [backup-simplify]: Simplify (+ (* (- 0.0625) (pow (/ 1 (- x)) 5)) (+ (* (- 0.125) (pow (/ 1 (- x)) 3)) (* (- 0.5) (/ 1 (- x))))) into (+ (* 0.0625 (/ 1 (pow x 5))) (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) 0.321 * * * [progress]: simplifying candidates 0.321 * [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))) (- (+ (sqrt (- 1.0)) (* 1/2 (/ (pow x 2) (sqrt (- 1.0))))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- x (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) (- (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x))) x) (+ x (+ (sqrt (- 1.0)) (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))))) (- (* 2 x) (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) (+ (* 0.0625 (/ 1 (pow x 5))) (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) 0.322 * * [simplify]: iteration 0: 94 enodes 0.351 * * [simplify]: iteration 1: 240 enodes 0.482 * * [simplify]: iteration 2: 970 enodes 0.776 * * [simplify]: iteration complete: 5001 enodes 0.776 * * [simplify]: Extracting #0: cost 38 inf + 0 0.777 * * [simplify]: Extracting #1: cost 378 inf + 2 0.787 * * [simplify]: Extracting #2: cost 1341 inf + 1423 0.804 * * [simplify]: Extracting #3: cost 1498 inf + 104470 0.849 * * [simplify]: Extracting #4: cost 403 inf + 305760 0.907 * * [simplify]: Extracting #5: cost 200 inf + 347966 0.969 * * [simplify]: Extracting #6: cost 9 inf + 404807 1.031 * * [simplify]: Extracting #7: cost 0 inf + 407364 1.118 * [simplify]: Simplified to: (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))) (* (- (* x x) 1.0) (sqrt (- (* x x) 1.0))) (fabs (cbrt (- (* x x) 1.0))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) 1 (sqrt (- (* x x) 1.0)) (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))) (sqrt (- (* (* x (* x x)) (* x (* x x))) (* 1.0 (* 1.0 1.0)))) (sqrt (fma 1.0 (+ 1.0 (* x x)) (* (* x x) (* x x)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (fma 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 (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)))) (fma (sqrt (- (* x x) 1.0)) (- (* x x) 1.0) (* x (* x x))) (fma (- (sqrt (- (* x x) 1.0)) x) (sqrt (- (* x x) 1.0)) (* x x)) (+ 0 1.0) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (fma -1/8 (* (/ (* x x) (sqrt (- 1.0))) (/ (* x x) (- 1.0))) (fma 1/2 (/ (* x x) (sqrt (- 1.0))) (sqrt (- 1.0)))) (- (- x (/ (/ 0.125 x) (* x x))) (/ 0.5 x)) (+ (- (/ 0.5 x) x) (/ (/ 0.125 x) (* x x))) (fma (/ (* x x) (sqrt (- 1.0))) 1/2 (+ (sqrt (- 1.0)) x)) (- (* x 2) (+ (/ 0.5 x) (/ (/ 0.125 x) (* x x)))) (+ (/ 0.0625 (pow x 5)) (+ (/ 0.5 x) (/ (/ 0.125 x) (* x x)))) 1.121 * * * [progress]: adding candidates to table 1.359 * * [progress]: iteration 2 / 4 1.359 * * * [progress]: picking best candidate 1.363 * * * * [pick]: Picked # 1.363 * * * [progress]: localizing error 1.386 * * * [progress]: generating rewritten candidates 1.386 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 1.437 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.443 * * * [progress]: generating series expansions 1.443 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 1.444 * [backup-simplify]: Simplify (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) into (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) 1.444 * [approximate]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) in (x) around 0 1.444 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) in x 1.444 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))) in x 1.445 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 1.445 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.445 * [taylor]: Taking taylor expansion of 1.0 in x 1.445 * [backup-simplify]: Simplify 1.0 into 1.0 1.445 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.445 * [taylor]: Taking taylor expansion of x in x 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify 1 into 1 1.445 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.445 * [taylor]: Taking taylor expansion of x in x 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify 1 into 1 1.445 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.445 * [taylor]: Taking taylor expansion of 1.0 in x 1.445 * [backup-simplify]: Simplify 1.0 into 1.0 1.446 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.447 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.447 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.448 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.449 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 1.450 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.451 * [backup-simplify]: Simplify (- 0) into 0 1.451 * [backup-simplify]: Simplify (+ 1 0) into 1 1.451 * [backup-simplify]: Simplify (+ 0 1) into 1 1.453 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 1.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 1.454 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) in x 1.454 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))) in x 1.454 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 1.454 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.454 * [taylor]: Taking taylor expansion of 1.0 in x 1.454 * [backup-simplify]: Simplify 1.0 into 1.0 1.454 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 1 into 1 1.455 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.455 * [taylor]: Taking taylor expansion of x in x 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 1 into 1 1.455 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.455 * [taylor]: Taking taylor expansion of 1.0 in x 1.455 * [backup-simplify]: Simplify 1.0 into 1.0 1.455 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.456 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.456 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.457 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.458 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 1.460 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.460 * [backup-simplify]: Simplify (- 0) into 0 1.460 * [backup-simplify]: Simplify (+ 1 0) into 1 1.460 * [backup-simplify]: Simplify (+ 0 1) into 1 1.462 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 1.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 1.465 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.466 * [backup-simplify]: Simplify (- 0) into 0 1.466 * [backup-simplify]: Simplify (+ 0 0) into 0 1.467 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.470 * [backup-simplify]: Simplify (+ 0 0) into 0 1.471 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 1.474 * [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)))) 1.476 * [backup-simplify]: Simplify (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 1.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.477 * [backup-simplify]: Simplify (- 0) into 0 1.477 * [backup-simplify]: Simplify (+ 0 0) into 0 1.478 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.478 * [backup-simplify]: Simplify (+ 0 0) into 0 1.479 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- (sqrt 1.0)))))) into 0 1.481 * [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 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.482 * [backup-simplify]: Simplify (- 0) into 0 1.482 * [backup-simplify]: Simplify (+ 0 0) into 0 1.483 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.483 * [backup-simplify]: Simplify (+ 0 0) into 0 1.484 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- (sqrt 1.0))))))) into 0 1.492 * [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)) 1.495 * [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)) 1.501 * [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 (- (+ (sqrt (* -1 (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2)))))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) 1.502 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 x) (sqrt 1.0))) (sqrt (- (/ 1 x) (sqrt 1.0)))) into (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) 1.502 * [approximate]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) in (x) around 0 1.502 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) in x 1.502 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0))) in x 1.502 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.502 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.502 * [taylor]: Taking taylor expansion of 1.0 in x 1.502 * [backup-simplify]: Simplify 1.0 into 1.0 1.502 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.503 * [taylor]: Taking taylor expansion of x in x 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 1 into 1 1.503 * [backup-simplify]: Simplify (/ 1 1) into 1 1.503 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.503 * [taylor]: Taking taylor expansion of x in x 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 1 into 1 1.504 * [backup-simplify]: Simplify (/ 1 1) into 1 1.504 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.504 * [taylor]: Taking taylor expansion of 1.0 in x 1.504 * [backup-simplify]: Simplify 1.0 into 1.0 1.504 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.505 * [backup-simplify]: Simplify (+ 0 1) into 1 1.505 * [backup-simplify]: Simplify (+ 1 0) into 1 1.506 * [backup-simplify]: Simplify (* 1 1) into 1 1.506 * [backup-simplify]: Simplify (sqrt 1) into 1 1.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.508 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.509 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.510 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.513 * [backup-simplify]: Simplify (+ (* 1 (- (sqrt 1.0))) (* (sqrt 1.0) 1)) into 0 1.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.514 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) in x 1.514 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0))) in x 1.514 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.514 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.514 * [taylor]: Taking taylor expansion of 1.0 in x 1.514 * [backup-simplify]: Simplify 1.0 into 1.0 1.514 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify (/ 1 1) into 1 1.515 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.515 * [taylor]: Taking taylor expansion of x in x 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 1 into 1 1.516 * [backup-simplify]: Simplify (/ 1 1) into 1 1.516 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.516 * [taylor]: Taking taylor expansion of 1.0 in x 1.516 * [backup-simplify]: Simplify 1.0 into 1.0 1.516 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.517 * [backup-simplify]: Simplify (+ 0 1) into 1 1.518 * [backup-simplify]: Simplify (+ 1 0) into 1 1.518 * [backup-simplify]: Simplify (* 1 1) into 1 1.518 * [backup-simplify]: Simplify (sqrt 1) into 1 1.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.520 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.521 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.522 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.525 * [backup-simplify]: Simplify (+ (* 1 (- (sqrt 1.0))) (* (sqrt 1.0) 1)) into 0 1.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.526 * [backup-simplify]: Simplify 1 into 1 1.526 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.527 * [backup-simplify]: Simplify (- 0) into 0 1.528 * [backup-simplify]: Simplify (+ 0 0) into 0 1.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.529 * [backup-simplify]: Simplify (+ 0 0) into 0 1.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) (- (sqrt 1.0))) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 1.538 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 1.540 * [backup-simplify]: Simplify (* -1/2 (pow (sqrt 1.0) 2)) into (* -1/2 (pow (sqrt 1.0) 2)) 1.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.542 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.542 * [backup-simplify]: Simplify (- 0) into 0 1.543 * [backup-simplify]: Simplify (+ 0 0) into 0 1.544 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.545 * [backup-simplify]: Simplify (+ 0 0) into 0 1.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 (- (sqrt 1.0))) (* 0 1)))) into 0 1.548 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.551 * [backup-simplify]: Simplify (- 0) into 0 1.552 * [backup-simplify]: Simplify (+ 0 0) into 0 1.553 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.554 * [backup-simplify]: Simplify (+ 0 0) into 0 1.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 (- (sqrt 1.0))) (* 0 1))))) into 0 1.564 * [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)) 1.565 * [backup-simplify]: Simplify (* -1/8 (pow (sqrt 1.0) 4)) into (* -1/8 (pow (sqrt 1.0) 4)) 1.569 * [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)))) 1.570 * [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)))) 1.570 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.570 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.570 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.570 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.570 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 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 1.571 * [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 (/ 1 x) in x 1.571 * [taylor]: Taking taylor expansion of x in x 1.571 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify 1 into 1 1.572 * [backup-simplify]: Simplify (/ 1 1) into 1 1.572 * [backup-simplify]: Simplify (+ 0 1) into 1 1.573 * [backup-simplify]: Simplify (- 1) into -1 1.573 * [backup-simplify]: Simplify (sqrt 0) into 0 1.573 * [backup-simplify]: Simplify (- 1) into -1 1.575 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.575 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.575 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.575 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.575 * [taylor]: Taking taylor expansion of 1.0 in x 1.575 * [backup-simplify]: Simplify 1.0 into 1.0 1.575 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.576 * [taylor]: Taking taylor expansion of x in x 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 1 into 1 1.577 * [backup-simplify]: Simplify (/ 1 1) into 1 1.577 * [backup-simplify]: Simplify (- 1) into -1 1.577 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.578 * [backup-simplify]: Simplify (sqrt 0) into 0 1.585 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.585 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.585 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.585 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.585 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.585 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.585 * [taylor]: Taking taylor expansion of 1.0 in x 1.585 * [backup-simplify]: Simplify 1.0 into 1.0 1.586 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.587 * [taylor]: Taking taylor expansion of x in x 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 1 into 1 1.587 * [backup-simplify]: Simplify (/ 1 1) into 1 1.588 * [backup-simplify]: Simplify (+ 0 1) into 1 1.588 * [backup-simplify]: Simplify (- 1) into -1 1.588 * [backup-simplify]: Simplify (sqrt 0) into 0 1.589 * [backup-simplify]: Simplify (- 1) into -1 1.590 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.590 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.590 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.590 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.590 * [taylor]: Taking taylor expansion of 1.0 in x 1.590 * [backup-simplify]: Simplify 1.0 into 1.0 1.590 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.591 * [taylor]: Taking taylor expansion of x in x 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 1 into 1 1.592 * [backup-simplify]: Simplify (/ 1 1) into 1 1.592 * [backup-simplify]: Simplify (- 1) into -1 1.592 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.593 * [backup-simplify]: Simplify (sqrt 0) into 0 1.594 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.595 * [backup-simplify]: Simplify (* 0 0) into 0 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 1.595 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.596 * [backup-simplify]: Simplify (- 0) into 0 1.597 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.601 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 1.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.603 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.604 * [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))) 1.614 * [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) 1.614 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.616 * [backup-simplify]: Simplify (- 0) into 0 1.616 * [backup-simplify]: Simplify (+ 0 0) into 0 1.622 * [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))) 1.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.623 * [backup-simplify]: Simplify (+ 0 0) into 0 1.623 * [backup-simplify]: Simplify (- 0) into 0 1.629 * [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))) 1.637 * [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))) 1.639 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.640 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.641 * [backup-simplify]: Simplify (- 0) into 0 1.641 * [backup-simplify]: Simplify (+ 0 0) into 0 1.653 * [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))))) 1.655 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.656 * [backup-simplify]: Simplify (+ 0 0) into 0 1.657 * [backup-simplify]: Simplify (- 0) into 0 1.673 * [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))))) 1.711 * [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))))) 1.726 * [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))))) 1.736 * [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 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow x 2)))))))))))))) 1.737 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.737 * [backup-simplify]: Simplify (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) into (+ x (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))))) 1.737 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))))) in (x) around 0 1.737 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))))) in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) in x 1.737 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))) in x 1.737 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 1.738 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.738 * [taylor]: Taking taylor expansion of 1.0 in x 1.738 * [backup-simplify]: Simplify 1.0 into 1.0 1.738 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.738 * [taylor]: Taking taylor expansion of x in x 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 1 into 1 1.738 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.738 * [taylor]: Taking taylor expansion of x in x 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify 1 into 1 1.738 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.738 * [taylor]: Taking taylor expansion of 1.0 in x 1.738 * [backup-simplify]: Simplify 1.0 into 1.0 1.739 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.740 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.740 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.741 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.742 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -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))) 1.744 * [backup-simplify]: Simplify (- 0) into 0 1.744 * [backup-simplify]: Simplify (+ 1 0) into 1 1.744 * [backup-simplify]: Simplify (+ 0 1) into 1 1.746 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 1.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 1.747 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ (sqrt 1.0) x) (- 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 (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) in x 1.747 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))) in x 1.747 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 1.747 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.747 * [taylor]: Taking taylor expansion of 1.0 in x 1.747 * [backup-simplify]: Simplify 1.0 into 1.0 1.747 * [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 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 (- 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 1.749 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.749 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.750 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.751 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 1.753 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.753 * [backup-simplify]: Simplify (- 0) into 0 1.753 * [backup-simplify]: Simplify (+ 1 0) into 1 1.753 * [backup-simplify]: Simplify (+ 0 1) into 1 1.755 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 1.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 1.758 * [backup-simplify]: Simplify (+ 0 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.760 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.760 * [backup-simplify]: Simplify (+ 1 0) into 1 1.760 * [backup-simplify]: Simplify 1 into 1 1.761 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.761 * [backup-simplify]: Simplify (- 0) into 0 1.761 * [backup-simplify]: Simplify (+ 0 0) into 0 1.762 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.762 * [backup-simplify]: Simplify (+ 0 0) into 0 1.763 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 1.766 * [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)))) 1.769 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) 1.772 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 1.775 * [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 (+ (sqrt (* -1 (pow (sqrt 1.0) 2))) (+ x (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))))) 1.776 * [backup-simplify]: Simplify (+ (/ 1 x) (* (sqrt (+ (/ 1 x) (sqrt 1.0))) (sqrt (- (/ 1 x) (sqrt 1.0))))) into (+ (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) (/ 1 x)) 1.776 * [approximate]: Taking taylor expansion of (+ (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) (/ 1 x)) in (x) around 0 1.776 * [taylor]: Taking taylor expansion of (+ (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) (/ 1 x)) in x 1.776 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) in x 1.776 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0))) in x 1.776 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.776 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.776 * [taylor]: Taking taylor expansion of 1.0 in x 1.776 * [backup-simplify]: Simplify 1.0 into 1.0 1.776 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.777 * [taylor]: Taking taylor expansion of x in x 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 1 into 1 1.777 * [backup-simplify]: Simplify (/ 1 1) into 1 1.777 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.777 * [taylor]: Taking taylor expansion of x in x 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 1 into 1 1.777 * [backup-simplify]: Simplify (/ 1 1) into 1 1.777 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.777 * [taylor]: Taking taylor expansion of 1.0 in x 1.777 * [backup-simplify]: Simplify 1.0 into 1.0 1.778 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.778 * [backup-simplify]: Simplify (+ 0 1) into 1 1.779 * [backup-simplify]: Simplify (+ 1 0) into 1 1.779 * [backup-simplify]: Simplify (* 1 1) into 1 1.779 * [backup-simplify]: Simplify (sqrt 1) into 1 1.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.781 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.782 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.784 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.787 * [backup-simplify]: Simplify (+ (* 1 (- (sqrt 1.0))) (* (sqrt 1.0) 1)) into 0 1.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.788 * [taylor]: Taking taylor expansion of x in x 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 1 into 1 1.788 * [backup-simplify]: Simplify (/ 1 1) into 1 1.788 * [taylor]: Taking taylor expansion of (+ (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) (/ 1 x)) in x 1.788 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) in x 1.788 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0))) in x 1.788 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.788 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.788 * [taylor]: Taking taylor expansion of 1.0 in x 1.788 * [backup-simplify]: Simplify 1.0 into 1.0 1.789 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) 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 1.790 * [backup-simplify]: Simplify 1 into 1 1.790 * [backup-simplify]: Simplify (/ 1 1) into 1 1.790 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 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 1.790 * [backup-simplify]: Simplify 1 into 1 1.790 * [backup-simplify]: Simplify (/ 1 1) into 1 1.790 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.791 * [taylor]: Taking taylor expansion of 1.0 in x 1.791 * [backup-simplify]: Simplify 1.0 into 1.0 1.791 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.792 * [backup-simplify]: Simplify (+ 0 1) into 1 1.793 * [backup-simplify]: Simplify (+ 1 0) into 1 1.793 * [backup-simplify]: Simplify (* 1 1) into 1 1.794 * [backup-simplify]: Simplify (sqrt 1) into 1 1.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.795 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.796 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.798 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.801 * [backup-simplify]: Simplify (+ (* 1 (- (sqrt 1.0))) (* (sqrt 1.0) 1)) into 0 1.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.802 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.802 * [taylor]: Taking taylor expansion of x in x 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 1 into 1 1.802 * [backup-simplify]: Simplify (/ 1 1) into 1 1.803 * [backup-simplify]: Simplify (+ 1 1) into 2 1.803 * [backup-simplify]: Simplify 2 into 2 1.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.804 * [backup-simplify]: Simplify (+ 0 0) into 0 1.804 * [backup-simplify]: Simplify 0 into 0 1.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.805 * [backup-simplify]: Simplify (- 0) into 0 1.806 * [backup-simplify]: Simplify (+ 0 0) into 0 1.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.807 * [backup-simplify]: Simplify (+ 0 0) into 0 1.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) (- (sqrt 1.0))) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 1.813 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 1.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.815 * [backup-simplify]: Simplify (+ (* -1/2 (pow (sqrt 1.0) 2)) 0) into (- (* 1/2 (pow (sqrt 1.0) 2))) 1.816 * [backup-simplify]: Simplify (- (* 1/2 (pow (sqrt 1.0) 2))) into (- (* 1/2 (pow (sqrt 1.0) 2))) 1.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.818 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.818 * [backup-simplify]: Simplify (- 0) into 0 1.818 * [backup-simplify]: Simplify (+ 0 0) into 0 1.823 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.824 * [backup-simplify]: Simplify (+ 0 0) into 0 1.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 (- (sqrt 1.0))) (* 0 1)))) into 0 1.827 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 1.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.828 * [backup-simplify]: Simplify (+ 0 0) into 0 1.828 * [backup-simplify]: Simplify 0 into 0 1.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.830 * [backup-simplify]: Simplify (- 0) into 0 1.830 * [backup-simplify]: Simplify (+ 0 0) into 0 1.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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) (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 (- (sqrt 1.0))) (* 0 1))))) into 0 1.837 * [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)) 1.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.839 * [backup-simplify]: Simplify (+ (* -1/8 (pow (sqrt 1.0) 4)) 0) into (- (* 1/8 (pow (sqrt 1.0) 4))) 1.840 * [backup-simplify]: Simplify (- (* 1/8 (pow (sqrt 1.0) 4))) into (- (* 1/8 (pow (sqrt 1.0) 4))) 1.844 * [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)))) 1.844 * [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)) 1.844 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 1.844 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.844 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.844 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.844 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.844 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.844 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.844 * [taylor]: Taking taylor expansion of 1.0 in x 1.844 * [backup-simplify]: Simplify 1.0 into 1.0 1.845 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.845 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.845 * [taylor]: Taking taylor expansion of x in x 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.845 * [backup-simplify]: Simplify (/ 1 1) into 1 1.846 * [backup-simplify]: Simplify (+ 0 1) into 1 1.846 * [backup-simplify]: Simplify (- 1) into -1 1.846 * [backup-simplify]: Simplify (sqrt 0) into 0 1.846 * [backup-simplify]: Simplify (- 1) into -1 1.847 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.847 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.847 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.847 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.847 * [taylor]: Taking taylor expansion of 1.0 in x 1.847 * [backup-simplify]: Simplify 1.0 into 1.0 1.848 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.848 * [taylor]: Taking taylor expansion of x in x 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify 1 into 1 1.848 * [backup-simplify]: Simplify (/ 1 1) into 1 1.849 * [backup-simplify]: Simplify (- 1) into -1 1.849 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.849 * [backup-simplify]: Simplify (sqrt 0) into 0 1.850 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.850 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.850 * [taylor]: Taking taylor expansion of x in x 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.850 * [backup-simplify]: Simplify (/ 1 1) into 1 1.850 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.850 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.850 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.850 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.850 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.850 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.850 * [taylor]: Taking taylor expansion of 1.0 in x 1.850 * [backup-simplify]: Simplify 1.0 into 1.0 1.851 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.851 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.851 * [taylor]: Taking taylor expansion of x in x 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify (/ 1 1) into 1 1.852 * [backup-simplify]: Simplify (+ 0 1) into 1 1.852 * [backup-simplify]: Simplify (- 1) into -1 1.852 * [backup-simplify]: Simplify (sqrt 0) into 0 1.852 * [backup-simplify]: Simplify (- 1) into -1 1.853 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.853 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.853 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.853 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.853 * [taylor]: Taking taylor expansion of 1.0 in x 1.853 * [backup-simplify]: Simplify 1.0 into 1.0 1.853 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.854 * [taylor]: Taking taylor expansion of x in x 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 1 into 1 1.854 * [backup-simplify]: Simplify (/ 1 1) into 1 1.854 * [backup-simplify]: Simplify (- 1) into -1 1.855 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.855 * [backup-simplify]: Simplify (sqrt 0) into 0 1.856 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.856 * [taylor]: Taking taylor expansion of x in x 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 1 into 1 1.856 * [backup-simplify]: Simplify (/ 1 1) into 1 1.856 * [backup-simplify]: Simplify (* 0 0) into 0 1.856 * [backup-simplify]: Simplify (+ 0 0) into 0 1.856 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 1.857 * [backup-simplify]: Simplify (- 1) into -1 1.857 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.857 * [backup-simplify]: Simplify -1 into -1 1.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.858 * [backup-simplify]: Simplify (- 0) into 0 1.859 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.861 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 1.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.862 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.862 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.865 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 1.868 * [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) 1.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.869 * [backup-simplify]: Simplify (- 0) into 0 1.869 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 1.869 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.870 * [backup-simplify]: Simplify (- 0) into 0 1.870 * [backup-simplify]: Simplify (+ 0 0) into 0 1.875 * [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))) 1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.876 * [backup-simplify]: Simplify (+ 0 0) into 0 1.877 * [backup-simplify]: Simplify (- 0) into 0 1.886 * [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))) 1.895 * [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))) 1.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.896 * [backup-simplify]: Simplify (- 0) into 0 1.898 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.900 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.902 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (/ 1 (- x))) (+ (- +nan.0) (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ (sqrt 1.0) x))))))) 1.902 * * * [progress]: simplifying candidates 1.903 * [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))))) (- (+ (sqrt (* -1 (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow x 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 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow x 2)))))))))))))) (+ (sqrt (* -1 (pow (sqrt 1.0) 2))) (+ x (* 1/2 (/ (pow x 2) (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 (/ 1 x)) (- (* +nan.0 (/ (sqrt 1.0) x))))))) 1.906 * * [simplify]: iteration 0: 156 enodes 1.953 * * [simplify]: iteration 1: 389 enodes 2.121 * * [simplify]: iteration 2: 1580 enodes 2.810 * * [simplify]: iteration complete: 5000 enodes 2.810 * * [simplify]: Extracting #0: cost 47 inf + 0 2.811 * * [simplify]: Extracting #1: cost 374 inf + 0 2.817 * * [simplify]: Extracting #2: cost 1047 inf + 922 2.830 * * [simplify]: Extracting #3: cost 1548 inf + 19930 2.865 * * [simplify]: Extracting #4: cost 998 inf + 109118 2.915 * * [simplify]: Extracting #5: cost 148 inf + 309983 2.982 * * [simplify]: Extracting #6: cost 5 inf + 353711 3.056 * * [simplify]: Extracting #7: cost 0 inf + 355317 3.182 * [simplify]: Simplified to: (expm1 (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log1p (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (- (* x x) 1.0) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (- (* x x) 1.0) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (- x (sqrt 1.0)) (sqrt (- x (sqrt 1.0)))) (+ 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))))) (* (* (* (- x (sqrt 1.0)) (sqrt (- x (sqrt 1.0)))) (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (- (* 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))))) (* (sqrt (- (* x (* x x)) (* 1.0 (sqrt 1.0)))) (sqrt (fma (sqrt 1.0) 1.0 (* x (* x x))))) (* (sqrt (fma x x (fma x (sqrt 1.0) 1.0))) (sqrt (fma x x (- 1.0 (* x (sqrt 1.0)))))) (* (sqrt (- (* x x) 1.0)) (sqrt (fma (sqrt 1.0) 1.0 (* x (* x x))))) (* (sqrt (fma x x (- 1.0 (* x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* x (* x x)) (* 1.0 (sqrt 1.0)))) (sqrt (- (* x x) 1.0))) (* (sqrt (fma x x (fma x (sqrt 1.0) 1.0))) (sqrt (- x (sqrt 1.0)))) (- (* x x) 1.0) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (fabs (cbrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x))) (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))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (cbrt (+ 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 (- (* x (* x x)) (* 1.0 (sqrt 1.0))))) (* (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (fma (sqrt 1.0) 1.0 (* x (* x x))))) (* (sqrt (- x (sqrt 1.0))) (sqrt (- (* x x) 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)) (* (* (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (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)) (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (fma (sqrt (- x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (- (* x x) 1.0)) (* x (* x x))) (fma (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (- (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) x) (* x x)) (- (* x x) (- (* x x) 1.0)) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (fma (/ (/ (* (* x x) (* x x)) (- 1.0)) (sqrt (- 1.0))) -1/8 (fma 1/2 (/ (* x x) (sqrt (- 1.0))) (sqrt (- 1.0)))) (- x (fma (/ (* (/ 1.0 x) (/ 1.0 x)) x) 1/8 (* (/ 1.0 x) 1/2))) (fma (- +nan.0) (/ (sqrt 1.0) x) (+ (- (/ +nan.0 x) (* (/ 1.0 (* x x)) +nan.0)) (- (fma +nan.0 (/ (sqrt 1.0) (* x x)) (/ +nan.0 (* x x))) +nan.0))) (+ (fma (/ (* x x) (sqrt (- 1.0))) 1/2 x) (sqrt (- 1.0))) (- (* 2 x) (fma (/ (* (/ 1.0 x) (/ 1.0 x)) x) 1/8 (* (/ 1.0 x) 1/2))) (- x (fma (/ -1 x) +nan.0 (fma +nan.0 (/ (sqrt 1.0) x) +nan.0))) 3.192 * * * [progress]: adding candidates to table 3.621 * [progress]: [Phase 3 of 3] Extracting. 3.629 * [simplify]: Simplifying: (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) 3.630 * * [simplify]: iteration 0: 10 enodes 3.631 * * [simplify]: iteration 1: 13 enodes 3.632 * * [simplify]: iteration complete: 13 enodes 3.632 * * [simplify]: Extracting #0: cost 1 inf + 0 3.632 * * [simplify]: Extracting #1: cost 2 inf + 0 3.632 * * [simplify]: Extracting #2: cost 4 inf + 0 3.632 * * [simplify]: Extracting #3: cost 5 inf + 1 3.632 * * [simplify]: Extracting #4: cost 7 inf + 1 3.632 * * [simplify]: Extracting #5: cost 8 inf + 1 3.633 * * [simplify]: Extracting #6: cost 9 inf + 1 3.633 * * [simplify]: Extracting #7: cost 0 inf + 1327 3.633 * [simplify]: Simplified to: (log (+ x (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))))) 7.325 * [regime-testing]: Baseline error score: 0.05900737592199025 7.342 * [regime-testing]: Oracle error score: 0.05900737592199025 7.342 * [regime-testing]: End program error score: 0.05900737592199025