47.025 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.073 * * * [progress]: [2/2] Setting up program. 0.076 * [progress]: [Phase 2 of 3] Improving. 0.077 * [simplify]: Simplifying: (log (+ x (sqrt (- (* x x) 1.0)))) 0.077 * * [simplify]: iteration 0: 7 enodes 0.078 * * [simplify]: iteration 1: 11 enodes 0.080 * * [simplify]: iteration 2: 12 enodes 0.082 * * [simplify]: iteration complete: 12 enodes 0.082 * * [simplify]: Extracting #0: cost 1 inf + 0 0.082 * * [simplify]: Extracting #1: cost 2 inf + 0 0.082 * * [simplify]: Extracting #2: cost 4 inf + 0 0.082 * * [simplify]: Extracting #3: cost 4 inf + 1 0.082 * * [simplify]: Extracting #4: cost 7 inf + 1 0.082 * * [simplify]: Extracting #5: cost 0 inf + 682 0.082 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1.0)))) 0.083 * * [progress]: iteration 1 / 4 0.083 * * * [progress]: picking best candidate 0.086 * * * * [pick]: Picked # 0.086 * * * [progress]: localizing error 0.114 * * * [progress]: generating rewritten candidates 0.114 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.127 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.142 * * * [progress]: generating series expansions 0.142 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.142 * [backup-simplify]: Simplify (sqrt (- (* x x) 1.0)) into (sqrt (- (pow x 2) 1.0)) 0.142 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.142 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.142 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [backup-simplify]: Simplify 1.0 into 1.0 0.143 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.143 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.144 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.145 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.145 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [taylor]: Taking taylor expansion of 1.0 in x 0.145 * [backup-simplify]: Simplify 1.0 into 1.0 0.145 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.146 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.146 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.147 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.148 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (* 1 1) into 1 0.148 * [backup-simplify]: Simplify (- 0) into 0 0.148 * [backup-simplify]: Simplify (+ 1 0) into 1 0.150 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.151 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- 1.0))) into (/ 1/2 (sqrt (- 1.0))) 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- 1.0))))))) (* 2 (sqrt (- 1.0)))) into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.154 * [backup-simplify]: Simplify (- 0) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [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)) 0.160 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (- 1.0)) 3)) into (/ -1/8 (pow (sqrt (- 1.0)) 3)) 0.163 * [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)))) 0.163 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.163 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.163 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.163 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (* 1 1) into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.163 * [backup-simplify]: Simplify 1.0 into 1.0 0.164 * [backup-simplify]: Simplify (+ 1 0) into 1 0.164 * [backup-simplify]: Simplify (sqrt 1) into 1 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.165 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.165 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (* 1 1) into 1 0.166 * [backup-simplify]: Simplify (/ 1 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 0.166 * [backup-simplify]: Simplify (sqrt 1) into 1 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.170 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.172 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.172 * [backup-simplify]: Simplify -0.5 into -0.5 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (- 0) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (- 0) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.178 * [backup-simplify]: Simplify -0.125 into -0.125 0.179 * [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)))) 0.179 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.179 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.179 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.179 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [taylor]: Taking taylor expansion of 1.0 in x 0.180 * [backup-simplify]: Simplify 1.0 into 1.0 0.180 * [backup-simplify]: Simplify (+ 1 0) into 1 0.181 * [backup-simplify]: Simplify (sqrt 1) into 1 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.183 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.183 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (* 1 1) into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [taylor]: Taking taylor expansion of 1.0 in x 0.184 * [backup-simplify]: Simplify 1.0 into 1.0 0.184 * [backup-simplify]: Simplify (+ 1 0) into 1 0.185 * [backup-simplify]: Simplify (sqrt 1) into 1 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.190 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.199 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.199 * [backup-simplify]: Simplify -0.5 into -0.5 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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 0.209 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.209 * [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 (- (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x))) x) 0.210 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.210 * [backup-simplify]: Simplify (+ x (sqrt (- (* x x) 1.0))) into (+ x (sqrt (- (pow x 2) 1.0))) 0.210 * [approximate]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1.0))) in (x) around 0 0.210 * [taylor]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1.0))) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.210 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.210 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [taylor]: Taking taylor expansion of 1.0 in x 0.211 * [backup-simplify]: Simplify 1.0 into 1.0 0.211 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.212 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.212 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.213 * [backup-simplify]: Simplify (- 0) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.214 * [taylor]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1.0))) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.214 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [taylor]: Taking taylor expansion of 1.0 in x 0.214 * [backup-simplify]: Simplify 1.0 into 1.0 0.215 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.215 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.216 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.217 * [backup-simplify]: Simplify (- 0) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.219 * [backup-simplify]: Simplify (+ 0 (sqrt (- 1.0))) into (sqrt (- 1.0)) 0.220 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.221 * [backup-simplify]: Simplify (+ 1 0) into 1 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (* 1 1) into 1 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.222 * [backup-simplify]: Simplify (+ 1 0) into 1 0.225 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.227 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt (- 1.0)))) into (* 1/2 (/ 1 (sqrt (- 1.0)))) 0.228 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.229 * [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)))))) 0.229 * [backup-simplify]: Simplify (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0))) into (+ (/ 1 x) (sqrt (- (/ 1 (pow x 2)) 1.0))) 0.229 * [approximate]: Taking taylor expansion of (+ (/ 1 x) (sqrt (- (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (sqrt (- (/ 1 (pow x 2)) 1.0))) in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.230 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.230 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.230 * [backup-simplify]: Simplify (/ 1 1) into 1 0.230 * [taylor]: Taking taylor expansion of 1.0 in x 0.230 * [backup-simplify]: Simplify 1.0 into 1.0 0.231 * [backup-simplify]: Simplify (+ 1 0) into 1 0.231 * [backup-simplify]: Simplify (sqrt 1) into 1 0.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (sqrt (- (/ 1 (pow x 2)) 1.0))) in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.233 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (* 1 1) into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [taylor]: Taking taylor expansion of 1.0 in x 0.233 * [backup-simplify]: Simplify 1.0 into 1.0 0.234 * [backup-simplify]: Simplify (+ 1 0) into 1 0.234 * [backup-simplify]: Simplify (sqrt 1) into 1 0.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.235 * [backup-simplify]: Simplify (+ 1 1) into 2 0.236 * [backup-simplify]: Simplify 2 into 2 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.240 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.243 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.244 * [backup-simplify]: Simplify (+ 0 -0.5) into (- 0.5) 0.244 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.256 * [backup-simplify]: Simplify (+ 0 -0.125) into (- 0.125) 0.256 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.257 * [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)))) 0.258 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0))) into (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) 0.258 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.258 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.258 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (* 1 1) into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.258 * [taylor]: Taking taylor expansion of 1.0 in x 0.258 * [backup-simplify]: Simplify 1.0 into 1.0 0.259 * [backup-simplify]: Simplify (+ 1 0) into 1 0.259 * [backup-simplify]: Simplify (sqrt 1) into 1 0.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (/ 1 1) into 1 0.260 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.261 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.261 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (* 1 1) into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.261 * [taylor]: Taking taylor expansion of 1.0 in x 0.261 * [backup-simplify]: Simplify 1.0 into 1.0 0.261 * [backup-simplify]: Simplify (+ 1 0) into 1 0.262 * [backup-simplify]: Simplify (sqrt 1) into 1 0.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.263 * [taylor]: Taking taylor expansion of x in x 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [backup-simplify]: Simplify (- 1) into -1 0.264 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.267 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.269 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.270 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.270 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ -0.125 0) into (- 0.125) 0.279 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (- 0) into 0 0.282 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.125)) (* 2 (* -0.5 0)))) (* 2 1)) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.295 * [backup-simplify]: Simplify (+ -0.0625 0) into (- 0.0625) 0.295 * [backup-simplify]: Simplify (- 0.0625) into (- 0.0625) 0.296 * [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)))) 0.296 * * * [progress]: simplifying candidates 0.297 * [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)))) 0.297 * * [simplify]: iteration 0: 94 enodes 0.324 * * [simplify]: iteration 1: 231 enodes 0.413 * * [simplify]: iteration 2: 660 enodes 0.736 * * [simplify]: iteration 3: 2088 enodes 1.557 * * [simplify]: iteration complete: 5000 enodes 1.557 * * [simplify]: Extracting #0: cost 38 inf + 0 1.558 * * [simplify]: Extracting #1: cost 204 inf + 2 1.564 * * [simplify]: Extracting #2: cost 707 inf + 1709 1.588 * * [simplify]: Extracting #3: cost 886 inf + 67366 1.627 * * [simplify]: Extracting #4: cost 248 inf + 227553 1.677 * * [simplify]: Extracting #5: cost 66 inf + 287176 1.731 * * [simplify]: Extracting #6: cost 30 inf + 297010 1.808 * * [simplify]: Extracting #7: cost 1 inf + 302495 1.872 * * [simplify]: Extracting #8: cost 0 inf + 302788 1.925 * [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 (* x x) (+ 1.0 (* x x)) (* 1.0 1.0))) (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 (/ x (/ (sqrt (- 1.0)) x)) 1/2 (fma (/ (* x x) (/ (sqrt (- 1.0)) (/ (* x x) (- 1.0)))) -1/8 (sqrt (- 1.0)))) (- (- x (/ 0.5 x)) (/ 0.125 (* (* x x) x))) (+ (/ 0.125 (* (* x x) x)) (- (/ 0.5 x) x)) (fma (/ x (/ (sqrt (- 1.0)) x)) 1/2 (+ (sqrt (- 1.0)) x)) (- (- (/ x 1/2) (/ 0.5 x)) (/ 0.125 (* (* x x) x))) (+ (/ 0.0625 (pow x 5)) (+ (/ 0.5 x) (/ 0.125 (* (* x x) x)))) 1.927 * * * [progress]: adding candidates to table 2.128 * * [progress]: iteration 2 / 4 2.128 * * * [progress]: picking best candidate 2.132 * * * * [pick]: Picked # 2.132 * * * [progress]: localizing error 2.149 * * * [progress]: generating rewritten candidates 2.149 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 2.205 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.213 * * * [progress]: generating series expansions 2.213 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 2.214 * [backup-simplify]: Simplify (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) into (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) 2.214 * [approximate]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) in (x) around 0 2.214 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) in x 2.214 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))) in x 2.214 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 2.214 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.214 * [taylor]: Taking taylor expansion of 1.0 in x 2.214 * [backup-simplify]: Simplify 1.0 into 1.0 2.215 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.215 * [taylor]: Taking taylor expansion of x in x 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 1 into 1 2.215 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 2.215 * [taylor]: Taking taylor expansion of x in x 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 1 into 1 2.215 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.215 * [taylor]: Taking taylor expansion of 1.0 in x 2.215 * [backup-simplify]: Simplify 1.0 into 1.0 2.215 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.216 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.217 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.218 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.219 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 2.220 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 2.221 * [backup-simplify]: Simplify (- 0) into 0 2.221 * [backup-simplify]: Simplify (+ 1 0) into 1 2.221 * [backup-simplify]: Simplify (+ 0 1) into 1 2.223 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 2.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 2.224 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) in x 2.224 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))) in x 2.224 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 2.224 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.224 * [taylor]: Taking taylor expansion of 1.0 in x 2.224 * [backup-simplify]: Simplify 1.0 into 1.0 2.224 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.225 * [taylor]: Taking taylor expansion of x in x 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify 1 into 1 2.225 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 2.225 * [taylor]: Taking taylor expansion of x in x 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify 1 into 1 2.225 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.225 * [taylor]: Taking taylor expansion of 1.0 in x 2.225 * [backup-simplify]: Simplify 1.0 into 1.0 2.225 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.226 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.226 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.227 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.228 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 2.230 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 2.230 * [backup-simplify]: Simplify (- 0) into 0 2.230 * [backup-simplify]: Simplify (+ 1 0) into 1 2.230 * [backup-simplify]: Simplify (+ 0 1) into 1 2.232 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 2.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 2.235 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.236 * [backup-simplify]: Simplify (- 0) into 0 2.236 * [backup-simplify]: Simplify (+ 0 0) into 0 2.236 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.237 * [backup-simplify]: Simplify (+ 0 0) into 0 2.237 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 2.241 * [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)))) 2.243 * [backup-simplify]: Simplify (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 2.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.244 * [backup-simplify]: Simplify (- 0) into 0 2.244 * [backup-simplify]: Simplify (+ 0 0) into 0 2.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.245 * [backup-simplify]: Simplify (+ 0 0) into 0 2.246 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- (sqrt 1.0)))))) into 0 2.247 * [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 2.247 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.248 * [backup-simplify]: Simplify (- 0) into 0 2.248 * [backup-simplify]: Simplify (+ 0 0) into 0 2.249 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.249 * [backup-simplify]: Simplify (+ 0 0) into 0 2.250 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- (sqrt 1.0))))))) into 0 2.263 * [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)) 2.266 * [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)) 2.272 * [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)))) 2.273 * [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)))) 2.273 * [approximate]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) in (x) around 0 2.273 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) in x 2.273 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0))) in x 2.273 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.273 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.273 * [taylor]: Taking taylor expansion of 1.0 in x 2.273 * [backup-simplify]: Simplify 1.0 into 1.0 2.273 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.274 * [taylor]: Taking taylor expansion of x in x 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify 1 into 1 2.274 * [backup-simplify]: Simplify (/ 1 1) into 1 2.274 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 2.274 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.274 * [taylor]: Taking taylor expansion of x in x 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify 1 into 1 2.274 * [backup-simplify]: Simplify (/ 1 1) into 1 2.274 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.274 * [taylor]: Taking taylor expansion of 1.0 in x 2.274 * [backup-simplify]: Simplify 1.0 into 1.0 2.274 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.275 * [backup-simplify]: Simplify (+ 0 1) into 1 2.275 * [backup-simplify]: Simplify (+ 1 0) into 1 2.276 * [backup-simplify]: Simplify (* 1 1) into 1 2.276 * [backup-simplify]: Simplify (sqrt 1) into 1 2.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.277 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.278 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.279 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.280 * [backup-simplify]: Simplify (+ (* 1 (- (sqrt 1.0))) (* (sqrt 1.0) 1)) into 0 2.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.281 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) in x 2.281 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0))) in x 2.281 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.281 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.281 * [taylor]: Taking taylor expansion of 1.0 in x 2.281 * [backup-simplify]: Simplify 1.0 into 1.0 2.281 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.282 * [taylor]: Taking taylor expansion of x in x 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 1 into 1 2.282 * [backup-simplify]: Simplify (/ 1 1) into 1 2.282 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 2.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.282 * [taylor]: Taking taylor expansion of x in x 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 1 into 1 2.283 * [backup-simplify]: Simplify (/ 1 1) into 1 2.283 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.283 * [taylor]: Taking taylor expansion of 1.0 in x 2.283 * [backup-simplify]: Simplify 1.0 into 1.0 2.283 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.284 * [backup-simplify]: Simplify (+ 0 1) into 1 2.285 * [backup-simplify]: Simplify (+ 1 0) into 1 2.285 * [backup-simplify]: Simplify (* 1 1) into 1 2.285 * [backup-simplify]: Simplify (sqrt 1) into 1 2.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.287 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.288 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.290 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.293 * [backup-simplify]: Simplify (+ (* 1 (- (sqrt 1.0))) (* (sqrt 1.0) 1)) into 0 2.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.294 * [backup-simplify]: Simplify 1 into 1 2.294 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.295 * [backup-simplify]: Simplify (- 0) into 0 2.295 * [backup-simplify]: Simplify (+ 0 0) into 0 2.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.296 * [backup-simplify]: Simplify (+ 0 0) into 0 2.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) (- (sqrt 1.0))) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 2.306 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 2.308 * [backup-simplify]: Simplify (* -1/2 (pow (sqrt 1.0) 2)) into (* -1/2 (pow (sqrt 1.0) 2)) 2.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.310 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.310 * [backup-simplify]: Simplify (- 0) into 0 2.311 * [backup-simplify]: Simplify (+ 0 0) into 0 2.312 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.313 * [backup-simplify]: Simplify (+ 0 0) into 0 2.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 (- (sqrt 1.0))) (* 0 1)))) into 0 2.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 2.317 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.320 * [backup-simplify]: Simplify (- 0) into 0 2.320 * [backup-simplify]: Simplify (+ 0 0) into 0 2.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.323 * [backup-simplify]: Simplify (+ 0 0) into 0 2.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 (- (sqrt 1.0))) (* 0 1))))) into 0 2.333 * [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)) 2.334 * [backup-simplify]: Simplify (* -1/8 (pow (sqrt 1.0) 4)) into (* -1/8 (pow (sqrt 1.0) 4)) 2.339 * [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)))) 2.340 * [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)))) 2.340 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 2.340 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 2.340 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 2.340 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 2.340 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.340 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.340 * [taylor]: Taking taylor expansion of 1.0 in x 2.340 * [backup-simplify]: Simplify 1.0 into 1.0 2.341 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.341 * [taylor]: Taking taylor expansion of x in x 2.341 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify 1 into 1 2.342 * [backup-simplify]: Simplify (/ 1 1) into 1 2.342 * [backup-simplify]: Simplify (+ 0 1) into 1 2.343 * [backup-simplify]: Simplify (- 1) into -1 2.343 * [backup-simplify]: Simplify (sqrt 0) into 0 2.343 * [backup-simplify]: Simplify (- 1) into -1 2.345 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.345 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 2.345 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.345 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.345 * [taylor]: Taking taylor expansion of 1.0 in x 2.345 * [backup-simplify]: Simplify 1.0 into 1.0 2.346 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.346 * [taylor]: Taking taylor expansion of x in x 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 1 into 1 2.347 * [backup-simplify]: Simplify (/ 1 1) into 1 2.347 * [backup-simplify]: Simplify (- 1) into -1 2.348 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.348 * [backup-simplify]: Simplify (sqrt 0) into 0 2.350 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.350 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 2.350 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 2.350 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 2.350 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.350 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.350 * [taylor]: Taking taylor expansion of 1.0 in x 2.350 * [backup-simplify]: Simplify 1.0 into 1.0 2.350 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.350 * [taylor]: Taking taylor expansion of x in x 2.350 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify 1 into 1 2.351 * [backup-simplify]: Simplify (/ 1 1) into 1 2.351 * [backup-simplify]: Simplify (+ 0 1) into 1 2.351 * [backup-simplify]: Simplify (- 1) into -1 2.351 * [backup-simplify]: Simplify (sqrt 0) into 0 2.352 * [backup-simplify]: Simplify (- 1) into -1 2.352 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.352 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 2.352 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.352 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.352 * [taylor]: Taking taylor expansion of 1.0 in x 2.352 * [backup-simplify]: Simplify 1.0 into 1.0 2.353 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.353 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.353 * [taylor]: Taking taylor expansion of x in x 2.353 * [backup-simplify]: Simplify 0 into 0 2.353 * [backup-simplify]: Simplify 1 into 1 2.353 * [backup-simplify]: Simplify (/ 1 1) into 1 2.354 * [backup-simplify]: Simplify (- 1) into -1 2.354 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.354 * [backup-simplify]: Simplify (sqrt 0) into 0 2.355 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.355 * [backup-simplify]: Simplify (* 0 0) into 0 2.355 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.356 * [backup-simplify]: Simplify (- 0) into 0 2.357 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.359 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 2.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.360 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.361 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.363 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 2.371 * [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) 2.372 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.373 * [backup-simplify]: Simplify (- 0) into 0 2.373 * [backup-simplify]: Simplify (+ 0 0) into 0 2.377 * [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))) 2.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.379 * [backup-simplify]: Simplify (+ 0 0) into 0 2.379 * [backup-simplify]: Simplify (- 0) into 0 2.388 * [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))) 2.399 * [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))) 2.400 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2.401 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.402 * [backup-simplify]: Simplify (- 0) into 0 2.402 * [backup-simplify]: Simplify (+ 0 0) into 0 2.410 * [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))))) 2.410 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.411 * [backup-simplify]: Simplify (+ 0 0) into 0 2.411 * [backup-simplify]: Simplify (- 0) into 0 2.420 * [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))))) 2.453 * [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))))) 2.457 * [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))))) 2.464 * [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)))))))))))))) 2.464 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.465 * [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))))) 2.465 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))))) in (x) around 0 2.465 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))))) in x 2.465 * [taylor]: Taking taylor expansion of x in x 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify 1 into 1 2.465 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) in x 2.465 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))) in x 2.465 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 2.465 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.465 * [taylor]: Taking taylor expansion of 1.0 in x 2.465 * [backup-simplify]: Simplify 1.0 into 1.0 2.465 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.466 * [taylor]: Taking taylor expansion of x in x 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify 1 into 1 2.466 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 2.466 * [taylor]: Taking taylor expansion of x in x 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify 1 into 1 2.466 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.466 * [taylor]: Taking taylor expansion of 1.0 in x 2.466 * [backup-simplify]: Simplify 1.0 into 1.0 2.466 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.467 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.467 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.468 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.469 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 2.475 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 2.476 * [backup-simplify]: Simplify (- 0) into 0 2.476 * [backup-simplify]: Simplify (+ 1 0) into 1 2.476 * [backup-simplify]: Simplify (+ 0 1) into 1 2.478 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 2.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 2.479 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))))) in x 2.479 * [taylor]: Taking taylor expansion of x in x 2.479 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify 1 into 1 2.479 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) in x 2.479 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))) in x 2.479 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 2.479 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.479 * [taylor]: Taking taylor expansion of 1.0 in x 2.479 * [backup-simplify]: Simplify 1.0 into 1.0 2.479 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.479 * [taylor]: Taking taylor expansion of x in x 2.479 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify 1 into 1 2.480 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 2.480 * [taylor]: Taking taylor expansion of x in x 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify 1 into 1 2.480 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.480 * [taylor]: Taking taylor expansion of 1.0 in x 2.480 * [backup-simplify]: Simplify 1.0 into 1.0 2.480 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.481 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.481 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.483 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.484 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 2.487 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 2.487 * [backup-simplify]: Simplify (- 0) into 0 2.488 * [backup-simplify]: Simplify (+ 1 0) into 1 2.488 * [backup-simplify]: Simplify (+ 0 1) into 1 2.492 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 2.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 2.496 * [backup-simplify]: Simplify (+ 0 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 2.499 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 2.499 * [backup-simplify]: Simplify (+ 1 0) into 1 2.499 * [backup-simplify]: Simplify 1 into 1 2.501 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.501 * [backup-simplify]: Simplify (- 0) into 0 2.501 * [backup-simplify]: Simplify (+ 0 0) into 0 2.502 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.503 * [backup-simplify]: Simplify (+ 0 0) into 0 2.504 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 2.510 * [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)))) 2.513 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) 2.516 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 2.519 * [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))))))) 2.520 * [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)) 2.520 * [approximate]: Taking taylor expansion of (+ (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) (/ 1 x)) in (x) around 0 2.520 * [taylor]: Taking taylor expansion of (+ (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) (/ 1 x)) in x 2.520 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) in x 2.520 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0))) in x 2.520 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.520 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.520 * [taylor]: Taking taylor expansion of 1.0 in x 2.520 * [backup-simplify]: Simplify 1.0 into 1.0 2.520 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.521 * [taylor]: Taking taylor expansion of x in x 2.521 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify 1 into 1 2.521 * [backup-simplify]: Simplify (/ 1 1) into 1 2.521 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 2.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.521 * [taylor]: Taking taylor expansion of x in x 2.521 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify 1 into 1 2.521 * [backup-simplify]: Simplify (/ 1 1) into 1 2.521 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.522 * [taylor]: Taking taylor expansion of 1.0 in x 2.522 * [backup-simplify]: Simplify 1.0 into 1.0 2.522 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.522 * [backup-simplify]: Simplify (+ 0 1) into 1 2.523 * [backup-simplify]: Simplify (+ 1 0) into 1 2.523 * [backup-simplify]: Simplify (* 1 1) into 1 2.523 * [backup-simplify]: Simplify (sqrt 1) into 1 2.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.524 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.525 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.526 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.528 * [backup-simplify]: Simplify (+ (* 1 (- (sqrt 1.0))) (* (sqrt 1.0) 1)) into 0 2.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.528 * [taylor]: Taking taylor expansion of x in x 2.528 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify 1 into 1 2.528 * [backup-simplify]: Simplify (/ 1 1) into 1 2.528 * [taylor]: Taking taylor expansion of (+ (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) (/ 1 x)) in x 2.528 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) in x 2.529 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0))) in x 2.529 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.529 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.529 * [taylor]: Taking taylor expansion of 1.0 in x 2.529 * [backup-simplify]: Simplify 1.0 into 1.0 2.529 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.529 * [taylor]: Taking taylor expansion of x in x 2.529 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify 1 into 1 2.530 * [backup-simplify]: Simplify (/ 1 1) into 1 2.530 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 2.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.530 * [taylor]: Taking taylor expansion of x in x 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify 1 into 1 2.530 * [backup-simplify]: Simplify (/ 1 1) into 1 2.530 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.530 * [taylor]: Taking taylor expansion of 1.0 in x 2.530 * [backup-simplify]: Simplify 1.0 into 1.0 2.530 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.531 * [backup-simplify]: Simplify (+ 0 1) into 1 2.531 * [backup-simplify]: Simplify (+ 1 0) into 1 2.531 * [backup-simplify]: Simplify (* 1 1) into 1 2.532 * [backup-simplify]: Simplify (sqrt 1) into 1 2.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.532 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.533 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 2.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.535 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.537 * [backup-simplify]: Simplify (+ (* 1 (- (sqrt 1.0))) (* (sqrt 1.0) 1)) into 0 2.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.537 * [taylor]: Taking taylor expansion of x in x 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify 1 into 1 2.538 * [backup-simplify]: Simplify (/ 1 1) into 1 2.538 * [backup-simplify]: Simplify (+ 1 1) into 2 2.538 * [backup-simplify]: Simplify 2 into 2 2.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.539 * [backup-simplify]: Simplify (+ 0 0) into 0 2.539 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.540 * [backup-simplify]: Simplify (- 0) into 0 2.541 * [backup-simplify]: Simplify (+ 0 0) into 0 2.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.542 * [backup-simplify]: Simplify (+ 0 0) into 0 2.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) (- (sqrt 1.0))) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 2.551 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 2.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.554 * [backup-simplify]: Simplify (+ (* -1/2 (pow (sqrt 1.0) 2)) 0) into (- (* 1/2 (pow (sqrt 1.0) 2))) 2.557 * [backup-simplify]: Simplify (- (* 1/2 (pow (sqrt 1.0) 2))) into (- (* 1/2 (pow (sqrt 1.0) 2))) 2.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.559 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.559 * [backup-simplify]: Simplify (- 0) into 0 2.560 * [backup-simplify]: Simplify (+ 0 0) into 0 2.561 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.562 * [backup-simplify]: Simplify (+ 0 0) into 0 2.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 (- (sqrt 1.0))) (* 0 1)))) into 0 2.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 2.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.567 * [backup-simplify]: Simplify (+ 0 0) into 0 2.567 * [backup-simplify]: Simplify 0 into 0 2.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.569 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.570 * [backup-simplify]: Simplify (- 0) into 0 2.570 * [backup-simplify]: Simplify (+ 0 0) into 0 2.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 2.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.572 * [backup-simplify]: Simplify (+ 0 0) into 0 2.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 (- (sqrt 1.0))) (* 0 1))))) into 0 2.577 * [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)) 2.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.579 * [backup-simplify]: Simplify (+ (* -1/8 (pow (sqrt 1.0) 4)) 0) into (- (* 1/8 (pow (sqrt 1.0) 4))) 2.586 * [backup-simplify]: Simplify (- (* 1/8 (pow (sqrt 1.0) 4))) into (- (* 1/8 (pow (sqrt 1.0) 4))) 2.589 * [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)))) 2.590 * [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)) 2.590 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 2.590 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 2.590 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 2.590 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 2.590 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 2.590 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.590 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.590 * [taylor]: Taking taylor expansion of 1.0 in x 2.590 * [backup-simplify]: Simplify 1.0 into 1.0 2.590 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.591 * [taylor]: Taking taylor expansion of x in x 2.591 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify 1 into 1 2.591 * [backup-simplify]: Simplify (/ 1 1) into 1 2.592 * [backup-simplify]: Simplify (+ 0 1) into 1 2.592 * [backup-simplify]: Simplify (- 1) into -1 2.592 * [backup-simplify]: Simplify (sqrt 0) into 0 2.592 * [backup-simplify]: Simplify (- 1) into -1 2.593 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.593 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 2.593 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.593 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.593 * [taylor]: Taking taylor expansion of 1.0 in x 2.593 * [backup-simplify]: Simplify 1.0 into 1.0 2.594 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.594 * [taylor]: Taking taylor expansion of x in x 2.594 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify 1 into 1 2.594 * [backup-simplify]: Simplify (/ 1 1) into 1 2.595 * [backup-simplify]: Simplify (- 1) into -1 2.595 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.595 * [backup-simplify]: Simplify (sqrt 0) into 0 2.596 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.596 * [taylor]: Taking taylor expansion of x in x 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 1 into 1 2.596 * [backup-simplify]: Simplify (/ 1 1) into 1 2.596 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 2.596 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 2.596 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 2.596 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 2.596 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 2.596 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.596 * [taylor]: Taking taylor expansion of 1.0 in x 2.596 * [backup-simplify]: Simplify 1.0 into 1.0 2.597 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.597 * [taylor]: Taking taylor expansion of x in x 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify 1 into 1 2.597 * [backup-simplify]: Simplify (/ 1 1) into 1 2.598 * [backup-simplify]: Simplify (+ 0 1) into 1 2.598 * [backup-simplify]: Simplify (- 1) into -1 2.598 * [backup-simplify]: Simplify (sqrt 0) into 0 2.598 * [backup-simplify]: Simplify (- 1) into -1 2.599 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.599 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 2.599 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 2.599 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.599 * [taylor]: Taking taylor expansion of 1.0 in x 2.599 * [backup-simplify]: Simplify 1.0 into 1.0 2.599 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.600 * [taylor]: Taking taylor expansion of x in x 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify 1 into 1 2.600 * [backup-simplify]: Simplify (/ 1 1) into 1 2.600 * [backup-simplify]: Simplify (- 1) into -1 2.601 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.601 * [backup-simplify]: Simplify (sqrt 0) into 0 2.602 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.602 * [taylor]: Taking taylor expansion of x in x 2.602 * [backup-simplify]: Simplify 0 into 0 2.602 * [backup-simplify]: Simplify 1 into 1 2.602 * [backup-simplify]: Simplify (/ 1 1) into 1 2.603 * [backup-simplify]: Simplify (* 0 0) into 0 2.603 * [backup-simplify]: Simplify (+ 0 0) into 0 2.603 * [backup-simplify]: Simplify 0 into 0 2.604 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 2.604 * [backup-simplify]: Simplify (- 1) into -1 2.604 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.604 * [backup-simplify]: Simplify -1 into -1 2.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.606 * [backup-simplify]: Simplify (- 0) into 0 2.606 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.610 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 2.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.611 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.612 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 2.616 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 2.620 * [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) 2.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.620 * [backup-simplify]: Simplify (- 0) into 0 2.621 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 2.621 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.622 * [backup-simplify]: Simplify (- 0) into 0 2.622 * [backup-simplify]: Simplify (+ 0 0) into 0 2.627 * [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))) 2.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.628 * [backup-simplify]: Simplify (+ 0 0) into 0 2.628 * [backup-simplify]: Simplify (- 0) into 0 2.633 * [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))) 2.641 * [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))) 2.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.642 * [backup-simplify]: Simplify (- 0) into 0 2.644 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2.646 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 2.648 * [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))))))) 2.648 * * * [progress]: simplifying candidates 2.649 * [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))))))) 2.652 * * [simplify]: iteration 0: 156 enodes 2.721 * * [simplify]: iteration 1: 386 enodes 2.911 * * [simplify]: iteration 2: 1125 enodes 4.160 * * [simplify]: iteration 3: 3839 enodes 5.235 * * [simplify]: iteration complete: 5000 enodes 5.235 * * [simplify]: Extracting #0: cost 47 inf + 0 5.237 * * [simplify]: Extracting #1: cost 374 inf + 0 5.246 * * [simplify]: Extracting #2: cost 889 inf + 1897 5.270 * * [simplify]: Extracting #3: cost 834 inf + 35005 5.321 * * [simplify]: Extracting #4: cost 293 inf + 146455 5.447 * * [simplify]: Extracting #5: cost 13 inf + 234818 5.561 * * [simplify]: Extracting #6: cost 0 inf + 240444 5.668 * [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))))) (* (* (* (sqrt (- x (sqrt 1.0))) (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (- 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))) (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (- 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)) (* (sqrt 1.0) 1.0))) (sqrt (fma 1.0 (sqrt 1.0) (* x (* x x))))) (* (sqrt (fma x x (fma (sqrt 1.0) x 1.0))) (sqrt (- (fma x x 1.0) (* x (sqrt 1.0))))) (* (sqrt (- (* x x) 1.0)) (sqrt (fma 1.0 (sqrt 1.0) (* x (* x x))))) (* (sqrt (- (fma x x 1.0) (* x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* x (* x x)) (* (sqrt 1.0) 1.0))) (sqrt (- (* x x) 1.0))) (* (sqrt (fma x x (fma (sqrt 1.0) x 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))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (fabs (cbrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (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 (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)))) (* (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 (* x x)) (* (sqrt 1.0) 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (fma 1.0 (sqrt 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 (sqrt 1.0))) (- x (sqrt 1.0))) (* x (* x x))) (fma (- (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) x) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* x x)) (+ (- (* x x) (* x x)) 1.0) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (fma -1/8 (/ (/ (* x x) (/ (sqrt (- 1.0)) (* x x))) (- 1.0)) (+ (sqrt (- 1.0)) (/ (* 1/2 (* x x)) (sqrt (- 1.0))))) (fma -1/8 (/ (* (/ 1.0 x) (/ 1.0 x)) x) (fma (/ 1.0 x) -1/2 x)) (- (fma +nan.0 (/ (sqrt 1.0) x) (fma (/ +nan.0 (* x x)) 1.0 (- (+ (fma (/ +nan.0 x) (/ (sqrt 1.0) x) (- (/ +nan.0 (* x x)) +nan.0)) (/ +nan.0 x)))))) (fma 1/2 (/ x (/ (sqrt (- 1.0)) x)) (+ x (sqrt (- 1.0)))) (fma (/ 1.0 x) -1/2 (fma -1/8 (/ (* (/ 1.0 x) (/ 1.0 x)) x) (/ x 1/2))) (- x (fma (/ (sqrt 1.0) x) +nan.0 (- +nan.0 (/ +nan.0 x)))) 5.677 * * * [progress]: adding candidates to table 5.999 * [progress]: [Phase 3 of 3] Extracting. 6.003 * [simplify]: Simplifying: (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) 6.003 * * [simplify]: iteration 0: 10 enodes 6.004 * * [simplify]: iteration 1: 13 enodes 6.005 * * [simplify]: iteration complete: 13 enodes 6.005 * * [simplify]: Extracting #0: cost 1 inf + 0 6.005 * * [simplify]: Extracting #1: cost 2 inf + 0 6.005 * * [simplify]: Extracting #2: cost 4 inf + 0 6.005 * * [simplify]: Extracting #3: cost 5 inf + 1 6.005 * * [simplify]: Extracting #4: cost 7 inf + 1 6.005 * * [simplify]: Extracting #5: cost 8 inf + 1 6.005 * * [simplify]: Extracting #6: cost 9 inf + 1 6.005 * * [simplify]: Extracting #7: cost 0 inf + 1327 6.005 * [simplify]: Simplified to: (log (+ x (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))))) 10.139 * [regime-testing]: Baseline error score: 0.08351043880485061 10.155 * [regime-testing]: Oracle error score: 0.08351043880485061 10.155 * [regime-testing]: End program error score: 0.08351043880485061