14.129 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying: (- (sqrt (+ x 1.0)) (sqrt x)) 0.036 * [simplify]: Sending expressions to egg_math: (- (sqrt (+ h0 h1)) (sqrt h0)) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.057 * * * [progress]: generating rewritten candidates 0.057 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.100 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.109 * * * [progress]: generating series expansions 0.109 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.109 * [backup-simplify]: Simplify (- (sqrt (+ x 1.0)) (sqrt x)) into (- (sqrt (+ x 1.0)) (sqrt x)) 0.109 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.109 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.109 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [backup-simplify]: Simplify 1.0 into 1.0 0.110 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.111 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.111 * [backup-simplify]: Simplify (+ 1 0) into 1 0.112 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.112 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (sqrt 0) into 0 0.113 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.113 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.113 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.113 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [taylor]: Taking taylor expansion of 1.0 in x 0.114 * [backup-simplify]: Simplify 1.0 into 1.0 0.114 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.114 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.114 * [backup-simplify]: Simplify (+ 1 0) into 1 0.115 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.115 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (sqrt 0) into 0 0.116 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.117 * [backup-simplify]: Simplify (- 0) into 0 0.117 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.118 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.118 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.119 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) (- +nan.0)) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.121 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.130 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.131 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.132 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) (- +nan.0)) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 0.136 * [backup-simplify]: Simplify (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 0.141 * [backup-simplify]: Simplify (+ (* (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (pow x 2)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) 0.141 * [backup-simplify]: Simplify (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) 0.141 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.141 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.141 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [backup-simplify]: Simplify 1.0 into 1.0 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [backup-simplify]: Simplify (+ 0 1) into 1 0.142 * [backup-simplify]: Simplify (sqrt 0) into 0 0.142 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.142 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [backup-simplify]: Simplify (sqrt 0) into 0 0.144 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.144 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.144 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [backup-simplify]: Simplify 1.0 into 1.0 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [backup-simplify]: Simplify (+ 0 1) into 1 0.145 * [backup-simplify]: Simplify (sqrt 0) into 0 0.145 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.145 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [backup-simplify]: Simplify (sqrt 0) into 0 0.147 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.147 * [backup-simplify]: Simplify (- 0) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.148 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.148 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.151 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.153 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.154 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.154 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.160 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.160 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.160 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.161 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.162 * [backup-simplify]: Simplify (- (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) 0.162 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.162 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.162 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.162 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.162 * [backup-simplify]: Simplify 1.0 into 1.0 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [backup-simplify]: Simplify (- 1) into -1 0.162 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.163 * [backup-simplify]: Simplify (sqrt 0) into 0 0.163 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.163 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.164 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.164 * [taylor]: Taking taylor expansion of -1 in x 0.164 * [backup-simplify]: Simplify -1 into -1 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ -1 1) into -1 0.164 * [backup-simplify]: Simplify (sqrt 0) into 0 0.165 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.165 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.165 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.165 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [backup-simplify]: Simplify 1.0 into 1.0 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [backup-simplify]: Simplify (- 1) into -1 0.166 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.166 * [backup-simplify]: Simplify (sqrt 0) into 0 0.167 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.167 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.167 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.167 * [taylor]: Taking taylor expansion of -1 in x 0.167 * [backup-simplify]: Simplify -1 into -1 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (/ -1 1) into -1 0.167 * [backup-simplify]: Simplify (sqrt 0) into 0 0.168 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.168 * [backup-simplify]: Simplify (- 0) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.169 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.170 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (- 0) into 0 0.171 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.172 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.175 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.175 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.175 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (- 0) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.182 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.182 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.182 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.183 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.183 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.183 * [backup-simplify]: Simplify (sqrt (+ x 1.0)) into (sqrt (+ x 1.0)) 0.183 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.183 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.183 * [taylor]: Taking taylor expansion of (+ x 1.0) 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 * [taylor]: Taking taylor expansion of 1.0 in x 0.184 * [backup-simplify]: Simplify 1.0 into 1.0 0.184 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.184 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.184 * [backup-simplify]: Simplify (+ 1 0) into 1 0.185 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.185 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.185 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [taylor]: Taking taylor expansion of 1.0 in x 0.186 * [backup-simplify]: Simplify 1.0 into 1.0 0.186 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.186 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.186 * [backup-simplify]: Simplify (+ 1 0) into 1 0.187 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.188 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.188 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.193 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.195 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 0.195 * [backup-simplify]: Simplify (sqrt (+ (/ 1 x) 1.0)) into (sqrt (+ 1.0 (/ 1 x))) 0.195 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.195 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.195 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.195 * [taylor]: Taking taylor expansion of 1.0 in x 0.195 * [backup-simplify]: Simplify 1.0 into 1.0 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [backup-simplify]: Simplify (+ 0 1) into 1 0.196 * [backup-simplify]: Simplify (sqrt 0) into 0 0.197 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.197 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.197 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.197 * [taylor]: Taking taylor expansion of 1.0 in x 0.197 * [backup-simplify]: Simplify 1.0 into 1.0 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) 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 (+ 0 1) into 1 0.197 * [backup-simplify]: Simplify (sqrt 0) into 0 0.198 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.201 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.201 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.204 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.204 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.204 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- x)) 1.0)) into (sqrt (- 1.0 (/ 1 x))) 0.204 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.204 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.204 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.204 * [taylor]: Taking taylor expansion of 1.0 in x 0.204 * [backup-simplify]: Simplify 1.0 into 1.0 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [backup-simplify]: Simplify (- 1) into -1 0.205 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.205 * [backup-simplify]: Simplify (sqrt 0) into 0 0.206 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.206 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.206 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.206 * [taylor]: Taking taylor expansion of 1.0 in x 0.206 * [backup-simplify]: Simplify 1.0 into 1.0 0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [backup-simplify]: Simplify (- 1) into -1 0.207 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.207 * [backup-simplify]: Simplify (sqrt 0) into 0 0.208 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (- 0) into 0 0.209 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.211 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.211 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (- 0) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.220 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.220 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.220 * * * [progress]: simplifying candidates 0.222 * [simplify]: Simplifying: (/ (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (* (* (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (sqrt x)) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.222 * [simplify]: Sending expressions to egg_math: (/ (exp (sqrt (+ h0 h1))) (exp (sqrt h0))) (log (- (sqrt (+ h0 h1)) (sqrt h0))) (exp (- (sqrt (+ h0 h1)) (sqrt h0))) (* (cbrt (- (sqrt (+ h0 h1)) (sqrt h0))) (cbrt (- (sqrt (+ h0 h1)) (sqrt h0)))) (cbrt (- (sqrt (+ h0 h1)) (sqrt h0))) (* (* (- (sqrt (+ h0 h1)) (sqrt h0)) (- (sqrt (+ h0 h1)) (sqrt h0))) (- (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (- (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (- (sqrt (+ h0 h1)) (sqrt h0))) (- (pow (sqrt (+ h0 h1)) 3) (pow (sqrt h0) 3)) (+ (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (+ (* (sqrt h0) (sqrt h0)) (* (sqrt (+ h0 h1)) (sqrt h0)))) (- (sqrt h0)) (- (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (* (sqrt h0) (sqrt h0))) (+ (sqrt (+ h0 h1)) (sqrt h0)) (+ (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (- (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (+ (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (- (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (+ (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (- (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (+ (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (- (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (- (sqrt (+ h0 h1)) (sqrt h0)) (- (sqrt (+ h0 h1)) (sqrt h0)) (- (sqrt (+ h0 h1)) (sqrt h0)) (- (sqrt h0)) (log (sqrt (+ h0 h1))) (exp (sqrt (+ h0 h1))) (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (* (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (sqrt (+ h0 h1))) (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt 1) (sqrt (+ h0 h1)) (sqrt 1) (sqrt (+ h0 h1)) (sqrt (+ (pow h0 3) (pow h1 3))) (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- h0 h1)) (/ 1 2) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (+ (sqrt h1) (* 1/2 (/ h0 (sqrt h1)))) (+ (* h2 (pow h0 2)) (- (* 1/8 (/ (pow h0 2) (pow (sqrt h1) 3))) (* h2 h0)))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (sqrt h1) (* 1/2 (/ h0 (sqrt h1)))) (* 1/8 (/ (pow h0 2) (pow (sqrt h1) 3)))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) 0.328 * * * [progress]: adding candidates to table 0.445 * * [progress]: iteration 2 / 4 0.445 * * * [progress]: picking best candidate 0.448 * * * * [pick]: Picked # 0.448 * * * [progress]: localizing error 0.455 * * * [progress]: generating rewritten candidates 0.455 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.503 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.551 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.570 * * * [progress]: generating series expansions 0.570 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.570 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 0.570 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.570 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.570 * [taylor]: Taking taylor expansion of 1.0 in x 0.570 * [backup-simplify]: Simplify 1.0 into 1.0 0.570 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.570 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.570 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [taylor]: Taking taylor expansion of 1.0 in x 0.570 * [backup-simplify]: Simplify 1.0 into 1.0 0.571 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.571 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.572 * [backup-simplify]: Simplify (+ 1 0) into 1 0.573 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.573 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 1 into 1 0.574 * [backup-simplify]: Simplify (sqrt 0) into 0 0.575 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.576 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.576 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 0.576 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.577 * [taylor]: Taking taylor expansion of 1.0 in x 0.577 * [backup-simplify]: Simplify 1.0 into 1.0 0.577 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.577 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.577 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.577 * [taylor]: Taking taylor expansion of 1.0 in x 0.577 * [backup-simplify]: Simplify 1.0 into 1.0 0.577 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.577 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.578 * [backup-simplify]: Simplify (+ 1 0) into 1 0.579 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.579 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.580 * [backup-simplify]: Simplify (sqrt 0) into 0 0.581 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.581 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.582 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 0.583 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 0.584 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.593 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 0.601 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 0.601 * [backup-simplify]: Simplify (+ 0 0) into 0 0.605 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.608 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.610 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 0.642 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (sqrt 1.0))) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 0.661 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 0.700 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) (pow x 2)) (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) 0.700 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) 0.700 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.700 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.700 * [taylor]: Taking taylor expansion of 1.0 in x 0.700 * [backup-simplify]: Simplify 1.0 into 1.0 0.700 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.700 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.700 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.700 * [taylor]: Taking taylor expansion of x in x 0.700 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify 1 into 1 0.701 * [backup-simplify]: Simplify (/ 1 1) into 1 0.701 * [backup-simplify]: Simplify (sqrt 0) into 0 0.702 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.702 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.702 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.702 * [taylor]: Taking taylor expansion of 1.0 in x 0.702 * [backup-simplify]: Simplify 1.0 into 1.0 0.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.702 * [taylor]: Taking taylor expansion of x in x 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify 1 into 1 0.703 * [backup-simplify]: Simplify (/ 1 1) into 1 0.703 * [backup-simplify]: Simplify (+ 0 1) into 1 0.703 * [backup-simplify]: Simplify (sqrt 0) into 0 0.704 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.705 * [backup-simplify]: Simplify (+ 0 0) into 0 0.705 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.706 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 0.706 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.706 * [taylor]: Taking taylor expansion of 1.0 in x 0.706 * [backup-simplify]: Simplify 1.0 into 1.0 0.706 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.706 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify (/ 1 1) into 1 0.707 * [backup-simplify]: Simplify (sqrt 0) into 0 0.708 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.708 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.708 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.708 * [taylor]: Taking taylor expansion of 1.0 in x 0.708 * [backup-simplify]: Simplify 1.0 into 1.0 0.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (/ 1 1) into 1 0.709 * [backup-simplify]: Simplify (+ 0 1) into 1 0.709 * [backup-simplify]: Simplify (sqrt 0) into 0 0.710 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.711 * [backup-simplify]: Simplify (+ 0 0) into 0 0.711 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.712 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 0.712 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.715 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.719 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.719 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.722 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.723 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (+ 0 0) into 0 0.731 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.731 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.736 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.736 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.737 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.737 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 0.737 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.737 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.737 * [taylor]: Taking taylor expansion of 1.0 in x 0.737 * [backup-simplify]: Simplify 1.0 into 1.0 0.737 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.737 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.737 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.737 * [taylor]: Taking taylor expansion of -1 in x 0.737 * [backup-simplify]: Simplify -1 into -1 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (/ -1 1) into -1 0.738 * [backup-simplify]: Simplify (sqrt 0) into 0 0.739 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.739 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.739 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.739 * [taylor]: Taking taylor expansion of 1.0 in x 0.739 * [backup-simplify]: Simplify 1.0 into 1.0 0.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [backup-simplify]: Simplify 0 into 0 0.739 * [backup-simplify]: Simplify 1 into 1 0.740 * [backup-simplify]: Simplify (/ 1 1) into 1 0.740 * [backup-simplify]: Simplify (- 1) into -1 0.740 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.741 * [backup-simplify]: Simplify (sqrt 0) into 0 0.742 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.742 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.743 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 0.743 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.743 * [taylor]: Taking taylor expansion of 1.0 in x 0.743 * [backup-simplify]: Simplify 1.0 into 1.0 0.743 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.743 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.743 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.743 * [taylor]: Taking taylor expansion of -1 in x 0.743 * [backup-simplify]: Simplify -1 into -1 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 1 into 1 0.744 * [backup-simplify]: Simplify (/ -1 1) into -1 0.744 * [backup-simplify]: Simplify (sqrt 0) into 0 0.745 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.745 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.745 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.745 * [taylor]: Taking taylor expansion of 1.0 in x 0.745 * [backup-simplify]: Simplify 1.0 into 1.0 0.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.745 * [taylor]: Taking taylor expansion of x in x 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 1 into 1 0.746 * [backup-simplify]: Simplify (/ 1 1) into 1 0.746 * [backup-simplify]: Simplify (- 1) into -1 0.746 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.747 * [backup-simplify]: Simplify (sqrt 0) into 0 0.748 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.748 * [backup-simplify]: Simplify (+ 0 0) into 0 0.748 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.749 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 0.749 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (- 0) into 0 0.753 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.756 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.756 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.760 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.760 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.764 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.765 * [backup-simplify]: Simplify (- 0) into 0 0.765 * [backup-simplify]: Simplify (+ 0 0) into 0 0.768 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.769 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.773 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.774 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.775 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.775 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.775 * [backup-simplify]: Simplify (+ (sqrt (+ x 1.0)) (sqrt x)) into (+ (sqrt (+ x 1.0)) (sqrt x)) 0.775 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.775 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.775 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.775 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [taylor]: Taking taylor expansion of 1.0 in x 0.775 * [backup-simplify]: Simplify 1.0 into 1.0 0.775 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.776 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.776 * [backup-simplify]: Simplify (+ 1 0) into 1 0.777 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.777 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [backup-simplify]: Simplify (sqrt 0) into 0 0.779 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.779 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.779 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.779 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [taylor]: Taking taylor expansion of 1.0 in x 0.779 * [backup-simplify]: Simplify 1.0 into 1.0 0.779 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.780 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.780 * [backup-simplify]: Simplify (+ 1 0) into 1 0.782 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.782 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.782 * [taylor]: Taking taylor expansion of x in x 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 1 into 1 0.782 * [backup-simplify]: Simplify (sqrt 0) into 0 0.783 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.784 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.784 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.786 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.788 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.792 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.795 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.797 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 0.801 * [backup-simplify]: Simplify (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 0.808 * [backup-simplify]: Simplify (+ (* (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (pow x 2)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) 0.808 * [backup-simplify]: Simplify (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) 0.808 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.808 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.808 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 1 into 1 0.809 * [backup-simplify]: Simplify (/ 1 1) into 1 0.809 * [backup-simplify]: Simplify (sqrt 0) into 0 0.810 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.810 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.810 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.810 * [taylor]: Taking taylor expansion of 1.0 in x 0.810 * [backup-simplify]: Simplify 1.0 into 1.0 0.810 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify (/ 1 1) into 1 0.818 * [backup-simplify]: Simplify (+ 0 1) into 1 0.819 * [backup-simplify]: Simplify (sqrt 0) into 0 0.820 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.820 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.820 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * [backup-simplify]: Simplify (/ 1 1) into 1 0.821 * [backup-simplify]: Simplify (sqrt 0) into 0 0.822 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.822 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.822 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.822 * [taylor]: Taking taylor expansion of 1.0 in x 0.822 * [backup-simplify]: Simplify 1.0 into 1.0 0.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.822 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify 1 into 1 0.822 * [backup-simplify]: Simplify (/ 1 1) into 1 0.823 * [backup-simplify]: Simplify (+ 0 1) into 1 0.823 * [backup-simplify]: Simplify (sqrt 0) into 0 0.824 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.824 * [backup-simplify]: Simplify (+ 0 0) into 0 0.824 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.825 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.828 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.831 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.832 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.832 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.836 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.837 * [backup-simplify]: Simplify (+ 0 0) into 0 0.840 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.840 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.840 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.842 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.842 * [backup-simplify]: Simplify (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) 0.842 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.842 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.842 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.842 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.842 * [taylor]: Taking taylor expansion of -1 in x 0.842 * [backup-simplify]: Simplify -1 into -1 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [backup-simplify]: Simplify (/ -1 1) into -1 0.843 * [backup-simplify]: Simplify (sqrt 0) into 0 0.844 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.844 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.844 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.844 * [taylor]: Taking taylor expansion of 1.0 in x 0.844 * [backup-simplify]: Simplify 1.0 into 1.0 0.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify 1 into 1 0.844 * [backup-simplify]: Simplify (/ 1 1) into 1 0.845 * [backup-simplify]: Simplify (- 1) into -1 0.845 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.845 * [backup-simplify]: Simplify (sqrt 0) into 0 0.846 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.846 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.846 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.846 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.846 * [taylor]: Taking taylor expansion of -1 in x 0.846 * [backup-simplify]: Simplify -1 into -1 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.847 * [backup-simplify]: Simplify (/ -1 1) into -1 0.847 * [backup-simplify]: Simplify (sqrt 0) into 0 0.848 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.848 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.848 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.848 * [taylor]: Taking taylor expansion of 1.0 in x 0.848 * [backup-simplify]: Simplify 1.0 into 1.0 0.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify (/ 1 1) into 1 0.849 * [backup-simplify]: Simplify (- 1) into -1 0.849 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.850 * [backup-simplify]: Simplify (sqrt 0) into 0 0.851 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.851 * [backup-simplify]: Simplify (+ 0 0) into 0 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.852 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.855 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (- 0) into 0 0.856 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.859 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.859 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.859 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.863 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.864 * [backup-simplify]: Simplify (- 0) into 0 0.865 * [backup-simplify]: Simplify (+ 0 0) into 0 0.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.868 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.868 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.870 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.870 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.870 * [backup-simplify]: Simplify (sqrt (+ x 1.0)) into (sqrt (+ x 1.0)) 0.870 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.870 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.870 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify 1 into 1 0.870 * [taylor]: Taking taylor expansion of 1.0 in x 0.870 * [backup-simplify]: Simplify 1.0 into 1.0 0.870 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.871 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.871 * [backup-simplify]: Simplify (+ 1 0) into 1 0.873 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.873 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.873 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 1 into 1 0.873 * [taylor]: Taking taylor expansion of 1.0 in x 0.873 * [backup-simplify]: Simplify 1.0 into 1.0 0.873 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.874 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.874 * [backup-simplify]: Simplify (+ 1 0) into 1 0.875 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.876 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.876 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.877 * [backup-simplify]: Simplify (+ 0 0) into 0 0.881 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.882 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.885 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 0.885 * [backup-simplify]: Simplify (sqrt (+ (/ 1 x) 1.0)) into (sqrt (+ 1.0 (/ 1 x))) 0.885 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.885 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.885 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.885 * [taylor]: Taking taylor expansion of 1.0 in x 0.885 * [backup-simplify]: Simplify 1.0 into 1.0 0.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 1 into 1 0.885 * [backup-simplify]: Simplify (/ 1 1) into 1 0.886 * [backup-simplify]: Simplify (+ 0 1) into 1 0.886 * [backup-simplify]: Simplify (sqrt 0) into 0 0.887 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.887 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.887 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.887 * [taylor]: Taking taylor expansion of 1.0 in x 0.887 * [backup-simplify]: Simplify 1.0 into 1.0 0.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 1 into 1 0.888 * [backup-simplify]: Simplify (/ 1 1) into 1 0.888 * [backup-simplify]: Simplify (+ 0 1) into 1 0.888 * [backup-simplify]: Simplify (sqrt 0) into 0 0.889 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.889 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.891 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.893 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.893 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.894 * [backup-simplify]: Simplify (+ 0 0) into 0 0.897 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.897 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.898 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.898 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- x)) 1.0)) into (sqrt (- 1.0 (/ 1 x))) 0.898 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.898 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.898 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.898 * [taylor]: Taking taylor expansion of 1.0 in x 0.898 * [backup-simplify]: Simplify 1.0 into 1.0 0.898 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify 1 into 1 0.898 * [backup-simplify]: Simplify (/ 1 1) into 1 0.899 * [backup-simplify]: Simplify (- 1) into -1 0.899 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.899 * [backup-simplify]: Simplify (sqrt 0) into 0 0.900 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.900 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.900 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.900 * [taylor]: Taking taylor expansion of 1.0 in x 0.900 * [backup-simplify]: Simplify 1.0 into 1.0 0.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify 1 into 1 0.901 * [backup-simplify]: Simplify (/ 1 1) into 1 0.901 * [backup-simplify]: Simplify (- 1) into -1 0.901 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.902 * [backup-simplify]: Simplify (sqrt 0) into 0 0.903 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.904 * [backup-simplify]: Simplify (- 0) into 0 0.904 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.907 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.907 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.908 * [backup-simplify]: Simplify (- 0) into 0 0.908 * [backup-simplify]: Simplify (+ 0 0) into 0 0.911 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.911 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.912 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.912 * * * [progress]: simplifying candidates 0.914 * [simplify]: Simplifying: (- (log 1.0) (log (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (* 1.0 1.0) 1.0) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (- 1.0) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 1) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt 1)) (/ 1.0 1) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (/ 1.0 (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (* (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.914 * [simplify]: Sending expressions to egg_math: (- (log h1) (log (+ (sqrt (+ h0 h1)) (sqrt h0)))) (log (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0)))) (exp (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ (* (* h1 h1) h1) (* (* (+ (sqrt (+ h0 h1)) (sqrt h0)) (+ (sqrt (+ h0 h1)) (sqrt h0))) (+ (sqrt (+ h0 h1)) (sqrt h0)))) (* (cbrt (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0)))) (cbrt (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0))))) (cbrt (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0)))) (* (* (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0)))) (sqrt (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0)))) (sqrt (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0)))) (- h1) (- (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ (* (cbrt h1) (cbrt h1)) (* (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0))))) (/ (cbrt h1) (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ (* (cbrt h1) (cbrt h1)) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ (cbrt h1) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ (* (cbrt h1) (cbrt h1)) 1) (/ (cbrt h1) (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ (* (cbrt h1) (cbrt h1)) (sqrt 1)) (/ (cbrt h1) (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ (* (cbrt h1) (cbrt h1)) (sqrt 1)) (/ (cbrt h1) (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ (* (cbrt h1) (cbrt h1)) 1) (/ (cbrt h1) (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ (sqrt h1) (* (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0))))) (/ (sqrt h1) (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ (sqrt h1) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ (sqrt h1) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ (sqrt h1) 1) (/ (sqrt h1) (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ (sqrt h1) (sqrt 1)) (/ (sqrt h1) (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ (sqrt h1) (sqrt 1)) (/ (sqrt h1) (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ (sqrt h1) 1) (/ (sqrt h1) (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ 1 (* (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0))))) (/ h1 (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ 1 (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ h1 (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ 1 1) (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ 1 (sqrt 1)) (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ 1 (sqrt 1)) (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ 1 1) (/ h1 (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ 1 (+ (sqrt (+ h0 h1)) (sqrt h0))) (/ (+ (sqrt (+ h0 h1)) (sqrt h0)) h1) (/ h1 (* (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0))))) (/ h1 (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (/ h1 1) (/ h1 (sqrt 1)) (/ h1 (sqrt 1)) (/ h1 1) (/ (+ (sqrt (+ h0 h1)) (sqrt h0)) (cbrt h1)) (/ (+ (sqrt (+ h0 h1)) (sqrt h0)) (sqrt h1)) (/ (+ (sqrt (+ h0 h1)) (sqrt h0)) h1) (/ h1 (+ (pow (sqrt (+ h0 h1)) 3) (pow (sqrt h0) 3))) (/ h1 (- (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (* (sqrt h0) (sqrt h0)))) (* (exp (sqrt (+ h0 h1))) (exp (sqrt h0))) (log (+ (sqrt (+ h0 h1)) (sqrt h0))) (exp (+ (sqrt (+ h0 h1)) (sqrt h0))) (* (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (cbrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (* (* (+ (sqrt (+ h0 h1)) (sqrt h0)) (+ (sqrt (+ h0 h1)) (sqrt h0))) (+ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (+ (pow (sqrt (+ h0 h1)) 3) (pow (sqrt h0) 3)) (+ (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (- (* (sqrt h0) (sqrt h0)) (* (sqrt (+ h0 h1)) (sqrt h0)))) (- (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (* (sqrt h0) (sqrt h0))) (- (sqrt (+ h0 h1)) (sqrt h0)) (+ (sqrt (+ h0 h1)) (sqrt h0)) (+ (sqrt (+ h0 h1)) (sqrt h0)) (+ (sqrt (+ h0 h1)) (sqrt h0)) (log (sqrt (+ h0 h1))) (exp (sqrt (+ h0 h1))) (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (* (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (sqrt (+ h0 h1))) (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt 1) (sqrt (+ h0 h1)) (sqrt 1) (sqrt (+ h0 h1)) (sqrt (+ (pow h0 3) (pow h1 3))) (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- h0 h1)) (/ 1 2) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (+ (* h1 (/ 1 (sqrt h1))) (* h4 (/ (pow h0 2) (pow (sqrt h1) 5)))) (+ (* h2 (/ (pow h0 2) (pow (sqrt h1) 2))) (- (* h3 (/ h0 (pow (sqrt h1) 3))) (+ (* h2 (/ (pow h0 2) (pow (sqrt h1) 4))) (- (+ (* h2 (/ h0 (pow (sqrt h1) 2))) (- (* h2 (/ (pow h0 2) (pow (sqrt h1) 3)))))))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (sqrt h1) (* 1/2 (/ h0 (sqrt h1)))) (+ (* h2 (pow h0 2)) (- (* 1/8 (/ (pow h0 2) (pow (sqrt h1) 3))) (* h2 h0)))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (sqrt h1) (* 1/2 (/ h0 (sqrt h1)))) (* 1/8 (/ (pow h0 2) (pow (sqrt h1) 3)))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) 1.002 * * * [progress]: adding candidates to table 1.218 * * [progress]: iteration 3 / 4 1.218 * * * [progress]: picking best candidate 1.242 * * * * [pick]: Picked # 1.242 * * * [progress]: localizing error 1.253 * * * [progress]: generating rewritten candidates 1.254 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.488 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.551 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 1.595 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.652 * * * [progress]: generating series expansions 1.652 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.653 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) into (+ (sqrt (+ x 1.0)) (sqrt x)) 1.653 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 1.653 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.653 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.653 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.653 * [taylor]: Taking taylor expansion of x in x 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 1 into 1 1.653 * [taylor]: Taking taylor expansion of 1.0 in x 1.653 * [backup-simplify]: Simplify 1.0 into 1.0 1.653 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.654 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.654 * [backup-simplify]: Simplify (+ 1 0) into 1 1.655 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.655 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.655 * [taylor]: Taking taylor expansion of x in x 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [backup-simplify]: Simplify (sqrt 0) into 0 1.656 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.656 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.656 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.656 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 1 into 1 1.656 * [taylor]: Taking taylor expansion of 1.0 in x 1.656 * [backup-simplify]: Simplify 1.0 into 1.0 1.657 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.657 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.657 * [backup-simplify]: Simplify (+ 1 0) into 1 1.658 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.658 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.658 * [taylor]: Taking taylor expansion of x in x 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify 1 into 1 1.658 * [backup-simplify]: Simplify (sqrt 0) into 0 1.659 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.660 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.660 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.661 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 1.663 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 1.663 * [backup-simplify]: Simplify (+ 0 0) into 0 1.666 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.668 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.670 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 1.673 * [backup-simplify]: Simplify (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 1.677 * [backup-simplify]: Simplify (+ (* (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (pow x 2)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) 1.678 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))))) into (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) 1.678 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 1.678 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.678 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.678 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [backup-simplify]: Simplify (/ 1 1) into 1 1.678 * [backup-simplify]: Simplify (sqrt 0) into 0 1.679 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.679 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.679 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.679 * [taylor]: Taking taylor expansion of 1.0 in x 1.679 * [backup-simplify]: Simplify 1.0 into 1.0 1.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.679 * [taylor]: Taking taylor expansion of x in x 1.679 * [backup-simplify]: Simplify 0 into 0 1.679 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify (/ 1 1) into 1 1.680 * [backup-simplify]: Simplify (+ 0 1) into 1 1.680 * [backup-simplify]: Simplify (sqrt 0) into 0 1.681 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.681 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.681 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.681 * [taylor]: Taking taylor expansion of x in x 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 1 into 1 1.681 * [backup-simplify]: Simplify (/ 1 1) into 1 1.681 * [backup-simplify]: Simplify (sqrt 0) into 0 1.682 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.682 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.682 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.682 * [taylor]: Taking taylor expansion of 1.0 in x 1.682 * [backup-simplify]: Simplify 1.0 into 1.0 1.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.682 * [taylor]: Taking taylor expansion of x in x 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 1 into 1 1.683 * [backup-simplify]: Simplify (/ 1 1) into 1 1.683 * [backup-simplify]: Simplify (+ 0 1) into 1 1.683 * [backup-simplify]: Simplify (sqrt 0) into 0 1.684 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.684 * [backup-simplify]: Simplify (+ 0 0) into 0 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.685 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.687 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.688 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.689 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.690 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.690 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.697 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.698 * [backup-simplify]: Simplify (+ 0 0) into 0 1.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.701 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.701 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.702 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.702 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))))) into (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) 1.702 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 1.702 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.702 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.702 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.702 * [taylor]: Taking taylor expansion of -1 in x 1.702 * [backup-simplify]: Simplify -1 into -1 1.702 * [taylor]: Taking taylor expansion of x in x 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 1 into 1 1.703 * [backup-simplify]: Simplify (/ -1 1) into -1 1.703 * [backup-simplify]: Simplify (sqrt 0) into 0 1.704 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.704 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.704 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.704 * [taylor]: Taking taylor expansion of 1.0 in x 1.704 * [backup-simplify]: Simplify 1.0 into 1.0 1.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.704 * [taylor]: Taking taylor expansion of x in x 1.704 * [backup-simplify]: Simplify 0 into 0 1.704 * [backup-simplify]: Simplify 1 into 1 1.704 * [backup-simplify]: Simplify (/ 1 1) into 1 1.704 * [backup-simplify]: Simplify (- 1) into -1 1.704 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.705 * [backup-simplify]: Simplify (sqrt 0) into 0 1.705 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.705 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.705 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.705 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.705 * [taylor]: Taking taylor expansion of -1 in x 1.705 * [backup-simplify]: Simplify -1 into -1 1.705 * [taylor]: Taking taylor expansion of x in x 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 1 into 1 1.706 * [backup-simplify]: Simplify (/ -1 1) into -1 1.706 * [backup-simplify]: Simplify (sqrt 0) into 0 1.707 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.707 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.707 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.707 * [taylor]: Taking taylor expansion of 1.0 in x 1.707 * [backup-simplify]: Simplify 1.0 into 1.0 1.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.707 * [taylor]: Taking taylor expansion of x in x 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 1 into 1 1.707 * [backup-simplify]: Simplify (/ 1 1) into 1 1.707 * [backup-simplify]: Simplify (- 1) into -1 1.708 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.708 * [backup-simplify]: Simplify (sqrt 0) into 0 1.709 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.709 * [backup-simplify]: Simplify (+ 0 0) into 0 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.709 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.712 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.712 * [backup-simplify]: Simplify (- 0) into 0 1.712 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.714 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.714 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.715 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.717 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.718 * [backup-simplify]: Simplify (- 0) into 0 1.718 * [backup-simplify]: Simplify (+ 0 0) into 0 1.721 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.722 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.722 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.723 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.723 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.724 * [backup-simplify]: Simplify (/ 1.0 (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1.724 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.724 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.724 * [taylor]: Taking taylor expansion of 1.0 in x 1.724 * [backup-simplify]: Simplify 1.0 into 1.0 1.724 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.724 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.724 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.724 * [taylor]: Taking taylor expansion of x in x 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 1 into 1 1.724 * [taylor]: Taking taylor expansion of 1.0 in x 1.724 * [backup-simplify]: Simplify 1.0 into 1.0 1.724 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.725 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.725 * [backup-simplify]: Simplify (+ 1 0) into 1 1.726 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.726 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.726 * [taylor]: Taking taylor expansion of x in x 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 1 into 1 1.727 * [backup-simplify]: Simplify (sqrt 0) into 0 1.728 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.728 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.729 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 1.729 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.729 * [taylor]: Taking taylor expansion of 1.0 in x 1.729 * [backup-simplify]: Simplify 1.0 into 1.0 1.729 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.729 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.729 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.729 * [taylor]: Taking taylor expansion of x in x 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify 1 into 1 1.729 * [taylor]: Taking taylor expansion of 1.0 in x 1.729 * [backup-simplify]: Simplify 1.0 into 1.0 1.730 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.730 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.731 * [backup-simplify]: Simplify (+ 1 0) into 1 1.732 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.732 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.732 * [taylor]: Taking taylor expansion of x in x 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 1 into 1 1.732 * [backup-simplify]: Simplify (sqrt 0) into 0 1.733 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.734 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.734 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 1.735 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 1.736 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 1.742 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 1.747 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 1.747 * [backup-simplify]: Simplify (+ 0 0) into 0 1.750 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.752 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.754 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 1.776 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (sqrt 1.0))) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 1.795 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 1.814 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) (pow x 2)) (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) 1.814 * [backup-simplify]: Simplify (/ 1.0 (* (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) 1.814 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.814 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.814 * [taylor]: Taking taylor expansion of 1.0 in x 1.814 * [backup-simplify]: Simplify 1.0 into 1.0 1.814 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.814 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.814 * [taylor]: Taking taylor expansion of x in x 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 1 into 1 1.814 * [backup-simplify]: Simplify (/ 1 1) into 1 1.815 * [backup-simplify]: Simplify (sqrt 0) into 0 1.816 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.816 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.816 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.816 * [taylor]: Taking taylor expansion of 1.0 in x 1.816 * [backup-simplify]: Simplify 1.0 into 1.0 1.816 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.816 * [taylor]: Taking taylor expansion of x in x 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 1 into 1 1.816 * [backup-simplify]: Simplify (/ 1 1) into 1 1.816 * [backup-simplify]: Simplify (+ 0 1) into 1 1.816 * [backup-simplify]: Simplify (sqrt 0) into 0 1.817 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.817 * [backup-simplify]: Simplify (+ 0 0) into 0 1.818 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.818 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 1.818 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.818 * [taylor]: Taking taylor expansion of 1.0 in x 1.818 * [backup-simplify]: Simplify 1.0 into 1.0 1.818 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.818 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.818 * [taylor]: Taking taylor expansion of x in x 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 1 into 1 1.819 * [backup-simplify]: Simplify (/ 1 1) into 1 1.819 * [backup-simplify]: Simplify (sqrt 0) into 0 1.819 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.819 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.820 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.820 * [taylor]: Taking taylor expansion of 1.0 in x 1.820 * [backup-simplify]: Simplify 1.0 into 1.0 1.820 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.820 * [taylor]: Taking taylor expansion of x in x 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 1 into 1 1.820 * [backup-simplify]: Simplify (/ 1 1) into 1 1.820 * [backup-simplify]: Simplify (+ 0 1) into 1 1.820 * [backup-simplify]: Simplify (sqrt 0) into 0 1.821 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.821 * [backup-simplify]: Simplify (+ 0 0) into 0 1.822 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.822 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 1.822 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.824 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.825 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.827 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.827 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.829 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.829 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.832 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.833 * [backup-simplify]: Simplify (+ 0 0) into 0 1.835 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.835 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.838 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.839 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.840 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.840 * [backup-simplify]: Simplify (/ 1.0 (* (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 1.840 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.840 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.840 * [taylor]: Taking taylor expansion of 1.0 in x 1.840 * [backup-simplify]: Simplify 1.0 into 1.0 1.840 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.840 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.840 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.840 * [taylor]: Taking taylor expansion of -1 in x 1.840 * [backup-simplify]: Simplify -1 into -1 1.840 * [taylor]: Taking taylor expansion of x in x 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 1 into 1 1.841 * [backup-simplify]: Simplify (/ -1 1) into -1 1.841 * [backup-simplify]: Simplify (sqrt 0) into 0 1.843 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.843 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.843 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.843 * [taylor]: Taking taylor expansion of 1.0 in x 1.843 * [backup-simplify]: Simplify 1.0 into 1.0 1.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.843 * [taylor]: Taking taylor expansion of x in x 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 1 into 1 1.843 * [backup-simplify]: Simplify (/ 1 1) into 1 1.844 * [backup-simplify]: Simplify (- 1) into -1 1.844 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.844 * [backup-simplify]: Simplify (sqrt 0) into 0 1.845 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.846 * [backup-simplify]: Simplify (+ 0 0) into 0 1.846 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.847 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 1.847 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.847 * [taylor]: Taking taylor expansion of 1.0 in x 1.847 * [backup-simplify]: Simplify 1.0 into 1.0 1.847 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.847 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.847 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.847 * [taylor]: Taking taylor expansion of -1 in x 1.847 * [backup-simplify]: Simplify -1 into -1 1.847 * [taylor]: Taking taylor expansion of x in x 1.847 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify 1 into 1 1.848 * [backup-simplify]: Simplify (/ -1 1) into -1 1.848 * [backup-simplify]: Simplify (sqrt 0) into 0 1.849 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.849 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.849 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.849 * [taylor]: Taking taylor expansion of 1.0 in x 1.849 * [backup-simplify]: Simplify 1.0 into 1.0 1.849 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.849 * [taylor]: Taking taylor expansion of x in x 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 1 into 1 1.850 * [backup-simplify]: Simplify (/ 1 1) into 1 1.850 * [backup-simplify]: Simplify (- 1) into -1 1.851 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.851 * [backup-simplify]: Simplify (sqrt 0) into 0 1.852 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.852 * [backup-simplify]: Simplify (+ 0 0) into 0 1.853 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.853 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 1.853 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.857 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.858 * [backup-simplify]: Simplify (- 0) into 0 1.858 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.861 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.861 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.864 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.864 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.869 * [backup-simplify]: Simplify (- 0) into 0 1.870 * [backup-simplify]: Simplify (+ 0 0) into 0 1.872 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.872 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.885 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.885 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.886 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.886 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 1.887 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) into (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 1.887 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.887 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.887 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.887 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.887 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.887 * [taylor]: Taking taylor expansion of x in x 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [taylor]: Taking taylor expansion of 1.0 in x 1.887 * [backup-simplify]: Simplify 1.0 into 1.0 1.887 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.887 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.888 * [backup-simplify]: Simplify (+ 1 0) into 1 1.889 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.889 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.889 * [taylor]: Taking taylor expansion of x in x 1.889 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify 1 into 1 1.889 * [backup-simplify]: Simplify (sqrt 0) into 0 1.890 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.890 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.891 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 1.892 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 1.895 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 1.895 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.895 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.895 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.895 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.895 * [taylor]: Taking taylor expansion of 1.0 in x 1.895 * [backup-simplify]: Simplify 1.0 into 1.0 1.895 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.896 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.896 * [backup-simplify]: Simplify (+ 1 0) into 1 1.897 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.897 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.897 * [taylor]: Taking taylor expansion of x in x 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 1 into 1 1.898 * [backup-simplify]: Simplify (sqrt 0) into 0 1.899 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.899 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.900 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 1.901 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 1.904 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 1.904 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 1.908 * [backup-simplify]: Simplify (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 1.908 * [backup-simplify]: Simplify (+ 0 0) into 0 1.912 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.913 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.915 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 1.928 * [backup-simplify]: Simplify (/ (- (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (pow (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 2) (+)) (* 2 (sqrt (sqrt 1.0)))) into (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0)))))) 1.940 * [backup-simplify]: Simplify (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0)))))) into (* -1/2 (* (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ +nan.0 (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))) (sqrt (/ 1 (sqrt 1.0))))) 1.968 * [backup-simplify]: Simplify (+ (* (* -1/2 (* (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ +nan.0 (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))) (sqrt (/ 1 (sqrt 1.0))))) (pow x 2)) (+ (* (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) x) (sqrt (sqrt 1.0)))) into (- (+ (* 1/4 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (sqrt (sqrt 1.0))) (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (- (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7))))) (+ (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (sqrt 1.0))))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 5)))))))))))) 1.968 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) into (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) 1.968 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.968 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.968 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.968 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.968 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.968 * [taylor]: Taking taylor expansion of x in x 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (/ 1 1) into 1 1.969 * [backup-simplify]: Simplify (sqrt 0) into 0 1.970 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.970 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.970 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.970 * [taylor]: Taking taylor expansion of 1.0 in x 1.970 * [backup-simplify]: Simplify 1.0 into 1.0 1.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.971 * [taylor]: Taking taylor expansion of x in x 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (/ 1 1) into 1 1.971 * [backup-simplify]: Simplify (+ 0 1) into 1 1.972 * [backup-simplify]: Simplify (sqrt 0) into 0 1.973 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.973 * [backup-simplify]: Simplify (+ 0 0) into 0 1.974 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.975 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.986 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.986 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.988 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.989 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.990 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 1.990 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.990 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.990 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (/ 1 1) into 1 1.991 * [backup-simplify]: Simplify (sqrt 0) into 0 1.991 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.991 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.991 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.991 * [taylor]: Taking taylor expansion of 1.0 in x 1.992 * [backup-simplify]: Simplify 1.0 into 1.0 1.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.992 * [taylor]: Taking taylor expansion of x in x 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.992 * [backup-simplify]: Simplify (/ 1 1) into 1 1.992 * [backup-simplify]: Simplify (+ 0 1) into 1 1.992 * [backup-simplify]: Simplify (sqrt 0) into 0 1.993 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.994 * [backup-simplify]: Simplify (+ 0 0) into 0 1.994 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.994 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.998 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.999 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.001 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.002 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.004 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 2.004 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.005 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 2.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.009 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.010 * [backup-simplify]: Simplify (+ 0 0) into 0 2.013 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.013 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.018 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.022 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.029 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 x) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 x)) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) 2.029 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) into (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 2.029 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.029 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.029 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.029 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.029 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.029 * [taylor]: Taking taylor expansion of -1 in x 2.029 * [backup-simplify]: Simplify -1 into -1 2.029 * [taylor]: Taking taylor expansion of x in x 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.030 * [backup-simplify]: Simplify (/ -1 1) into -1 2.030 * [backup-simplify]: Simplify (sqrt 0) into 0 2.031 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.031 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.031 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.031 * [taylor]: Taking taylor expansion of 1.0 in x 2.032 * [backup-simplify]: Simplify 1.0 into 1.0 2.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.032 * [taylor]: Taking taylor expansion of x in x 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (/ 1 1) into 1 2.032 * [backup-simplify]: Simplify (- 1) into -1 2.033 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.033 * [backup-simplify]: Simplify (sqrt 0) into 0 2.034 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.035 * [backup-simplify]: Simplify (+ 0 0) into 0 2.035 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.035 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 2.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.037 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify (- 0) into 0 2.038 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.040 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.040 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.042 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 2.042 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.042 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.042 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.042 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.042 * [taylor]: Taking taylor expansion of -1 in x 2.042 * [backup-simplify]: Simplify -1 into -1 2.042 * [taylor]: Taking taylor expansion of x in x 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 1 into 1 2.042 * [backup-simplify]: Simplify (/ -1 1) into -1 2.043 * [backup-simplify]: Simplify (sqrt 0) into 0 2.043 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.043 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.043 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.043 * [taylor]: Taking taylor expansion of 1.0 in x 2.043 * [backup-simplify]: Simplify 1.0 into 1.0 2.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.044 * [taylor]: Taking taylor expansion of x in x 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 1 into 1 2.044 * [backup-simplify]: Simplify (/ 1 1) into 1 2.044 * [backup-simplify]: Simplify (- 1) into -1 2.044 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.044 * [backup-simplify]: Simplify (sqrt 0) into 0 2.046 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.046 * [backup-simplify]: Simplify (+ 0 0) into 0 2.046 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.047 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 2.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.050 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (- 0) into 0 2.052 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.054 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.055 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.057 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 2.057 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.058 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 2.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.062 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.063 * [backup-simplify]: Simplify (- 0) into 0 2.063 * [backup-simplify]: Simplify (+ 0 0) into 0 2.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.067 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.072 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.078 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.086 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- x))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) 2.086 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.086 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) into (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 2.086 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.086 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.086 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.086 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.086 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.086 * [taylor]: Taking taylor expansion of x in x 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 1 into 1 2.086 * [taylor]: Taking taylor expansion of 1.0 in x 2.086 * [backup-simplify]: Simplify 1.0 into 1.0 2.087 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.087 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.087 * [backup-simplify]: Simplify (+ 1 0) into 1 2.089 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.089 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.089 * [taylor]: Taking taylor expansion of x in x 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.089 * [backup-simplify]: Simplify (sqrt 0) into 0 2.090 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.091 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.092 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 2.093 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 2.105 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 2.105 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.105 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.105 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.105 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.105 * [taylor]: Taking taylor expansion of x in x 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 1 into 1 2.105 * [taylor]: Taking taylor expansion of 1.0 in x 2.105 * [backup-simplify]: Simplify 1.0 into 1.0 2.106 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.106 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.107 * [backup-simplify]: Simplify (+ 1 0) into 1 2.108 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.108 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.108 * [taylor]: Taking taylor expansion of x in x 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify (sqrt 0) into 0 2.109 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.110 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.111 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 2.112 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 2.117 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 2.118 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 2.123 * [backup-simplify]: Simplify (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) into (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 2.123 * [backup-simplify]: Simplify (+ 0 0) into 0 2.128 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.131 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.133 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 2.154 * [backup-simplify]: Simplify (/ (- (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (pow (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) 2) (+)) (* 2 (sqrt (sqrt 1.0)))) into (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0)))))) 2.176 * [backup-simplify]: Simplify (* -1/2 (* (sqrt (/ 1 (sqrt 1.0))) (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0)))))) into (* -1/2 (* (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ +nan.0 (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))) (sqrt (/ 1 (sqrt 1.0))))) 2.206 * [backup-simplify]: Simplify (+ (* (* -1/2 (* (- (* 3/16 (/ 1 (pow (sqrt 1.0) 3))) (+ +nan.0 (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))) (sqrt (/ 1 (sqrt 1.0))))) (pow x 2)) (+ (* (* 1/2 (* (sqrt (/ 1 (sqrt 1.0))) (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0))) x) (sqrt (sqrt 1.0)))) into (- (+ (* 1/4 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (sqrt (sqrt 1.0))) (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (- (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7))))) (+ (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (sqrt 1.0))))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 5)))))))))))) 2.207 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) into (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) 2.207 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.207 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.207 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.207 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.207 * [taylor]: Taking taylor expansion of x in x 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify 1 into 1 2.207 * [backup-simplify]: Simplify (/ 1 1) into 1 2.208 * [backup-simplify]: Simplify (sqrt 0) into 0 2.209 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.209 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.209 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.209 * [taylor]: Taking taylor expansion of 1.0 in x 2.209 * [backup-simplify]: Simplify 1.0 into 1.0 2.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.209 * [taylor]: Taking taylor expansion of x in x 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [backup-simplify]: Simplify (/ 1 1) into 1 2.210 * [backup-simplify]: Simplify (+ 0 1) into 1 2.210 * [backup-simplify]: Simplify (sqrt 0) into 0 2.211 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.212 * [backup-simplify]: Simplify (+ 0 0) into 0 2.212 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.213 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 2.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.216 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.217 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.220 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.220 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.222 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 2.222 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.222 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.222 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.222 * [taylor]: Taking taylor expansion of x in x 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 1 into 1 2.223 * [backup-simplify]: Simplify (/ 1 1) into 1 2.223 * [backup-simplify]: Simplify (sqrt 0) into 0 2.224 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.224 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.224 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) 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 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.224 * [taylor]: Taking taylor expansion of x in x 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 1 into 1 2.225 * [backup-simplify]: Simplify (/ 1 1) into 1 2.225 * [backup-simplify]: Simplify (+ 0 1) into 1 2.225 * [backup-simplify]: Simplify (sqrt 0) into 0 2.227 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.227 * [backup-simplify]: Simplify (+ 0 0) into 0 2.227 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.228 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 2.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.239 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.240 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.242 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.242 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.245 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 2.245 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.246 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 2.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.248 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.249 * [backup-simplify]: Simplify (+ 0 0) into 0 2.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.252 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.255 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.259 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.264 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 x) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 x)) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) 2.264 * [backup-simplify]: Simplify (sqrt (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) into (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 2.264 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.264 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.264 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.264 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.264 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.264 * [taylor]: Taking taylor expansion of -1 in x 2.264 * [backup-simplify]: Simplify -1 into -1 2.264 * [taylor]: Taking taylor expansion of x in x 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify 1 into 1 2.264 * [backup-simplify]: Simplify (/ -1 1) into -1 2.265 * [backup-simplify]: Simplify (sqrt 0) into 0 2.265 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.265 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.265 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.265 * [taylor]: Taking taylor expansion of 1.0 in x 2.265 * [backup-simplify]: Simplify 1.0 into 1.0 2.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.265 * [taylor]: Taking taylor expansion of x in x 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.266 * [backup-simplify]: Simplify (/ 1 1) into 1 2.266 * [backup-simplify]: Simplify (- 1) into -1 2.266 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.266 * [backup-simplify]: Simplify (sqrt 0) into 0 2.267 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.267 * [backup-simplify]: Simplify (+ 0 0) into 0 2.268 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.268 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 2.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.270 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.271 * [backup-simplify]: Simplify (- 0) into 0 2.271 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.273 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.273 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.275 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 2.275 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.275 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.275 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.275 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.275 * [taylor]: Taking taylor expansion of -1 in x 2.275 * [backup-simplify]: Simplify -1 into -1 2.275 * [taylor]: Taking taylor expansion of x in x 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.275 * [backup-simplify]: Simplify (/ -1 1) into -1 2.275 * [backup-simplify]: Simplify (sqrt 0) into 0 2.276 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.276 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.276 * [taylor]: Taking taylor expansion of 1.0 in x 2.276 * [backup-simplify]: Simplify 1.0 into 1.0 2.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.276 * [taylor]: Taking taylor expansion of x in x 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify 1 into 1 2.276 * [backup-simplify]: Simplify (/ 1 1) into 1 2.277 * [backup-simplify]: Simplify (- 1) into -1 2.277 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.277 * [backup-simplify]: Simplify (sqrt 0) into 0 2.278 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.278 * [backup-simplify]: Simplify (+ 0 0) into 0 2.278 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.279 * [backup-simplify]: Simplify (sqrt (- +nan.0)) into (sqrt +nan.0) 2.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.281 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.282 * [backup-simplify]: Simplify (- 0) into 0 2.282 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.284 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.284 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.285 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 2.286 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.286 * [backup-simplify]: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 2.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.289 * [backup-simplify]: Simplify (- 0) into 0 2.290 * [backup-simplify]: Simplify (+ 0 0) into 0 2.292 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.292 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.295 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.299 * [backup-simplify]: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.305 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- x))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) 2.305 * * * [progress]: simplifying candidates 2.307 * [simplify]: Simplifying: (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 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(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (sqrt (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))))) (/ 1.0 (* (sqrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (sqrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))))) (/ 1.0 (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))))) (/ 1.0 (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))))) (/ 1.0 (* (sqrt (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (* (sqrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (sqrt 1)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (sqrt 1)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (sqrt (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (/ 1 2) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) 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(* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* 1/4 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (sqrt (sqrt 1.0))) (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (- (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7))))) (+ (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (sqrt 1.0))))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 5)))))))))))) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) (- (+ (* 1/4 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (sqrt (sqrt 1.0))) (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (- (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7))))) (+ (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (sqrt 1.0))))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 5)))))))))))) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) 2.308 * [simplify]: Sending expressions to egg_math: (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (sqrt (+ h0 h1)) (sqrt h0)) (+ (sqrt (+ h0 h1)) (sqrt h0))) (* (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (* (+ (sqrt (+ h0 h1)) (sqrt h0)) (+ (sqrt (+ h0 h1)) (sqrt h0))) (+ 1 1) (+ (log (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (log (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))))) (log (* (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))))) (exp (* (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))))) (* (* (* (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (* (* (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0)))) (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))))) (* (cbrt (* (sqrt (+ (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (+ (sqrt (+ h0 h1)) (sqrt 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(* 3/32 (* (pow h0 2) (sqrt (/ 1 (pow (sqrt h1) 7))))) (+ (* h2 (* h0 (sqrt (/ 1 (sqrt h1))))) (- (+ (* h2 (* (pow h0 2) (sqrt (/ 1 (sqrt h1))))) (- (* h2 (* (pow h0 2) (sqrt (/ 1 (pow (sqrt h1) 5)))))))))))) (- (sqrt h2) (+ (* h2 (/ 1 (* (sqrt h2) h0))) (- (+ (* h2 (/ 1 (* (pow (sqrt h2) 3) (pow h0 2)))) (- (* h2 (/ 1 (* (sqrt h2) (pow h0 2))))))))) (- (sqrt h2) (+ (* h2 (/ 1 (* (sqrt h2) h0))) (- (+ (* h2 (/ 1 (* (pow (sqrt h2) 3) (pow h0 2)))) (- (* h2 (/ 1 (* (sqrt h2) (pow h0 2))))))))) 2.362 * * * [progress]: adding candidates to table 2.810 * * [progress]: iteration 4 / 4 2.810 * * * [progress]: picking best candidate 2.851 * * * * [pick]: Picked # 2.851 * * * [progress]: localizing error 2.869 * * * [progress]: generating rewritten candidates 2.869 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.200 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 3.256 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.324 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.410 * * * [progress]: generating series expansions 3.410 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.410 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) into (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) 3.411 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 3.411 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.411 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.411 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.411 * [taylor]: Taking taylor expansion of 1.0 in x 3.411 * [backup-simplify]: Simplify 1.0 into 1.0 3.411 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.412 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.412 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.412 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.412 * [taylor]: Taking taylor expansion of x in x 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify 1 into 1 3.412 * [taylor]: Taking taylor expansion of 1.0 in x 3.412 * [backup-simplify]: Simplify 1.0 into 1.0 3.412 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.413 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.413 * [backup-simplify]: Simplify (+ 1 0) into 1 3.414 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.414 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.414 * [taylor]: Taking taylor expansion of x in x 3.414 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 1 into 1 3.415 * [backup-simplify]: Simplify (sqrt 0) into 0 3.416 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.417 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 3.418 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.425 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (sqrt 1.0)) into (sqrt 1.0) 3.425 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.426 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.426 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.426 * [taylor]: Taking taylor expansion of 1.0 in x 3.426 * [backup-simplify]: Simplify 1.0 into 1.0 3.426 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.427 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.427 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.427 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.427 * [taylor]: Taking taylor expansion of x in x 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [taylor]: Taking taylor expansion of 1.0 in x 3.427 * [backup-simplify]: Simplify 1.0 into 1.0 3.427 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.428 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.428 * [backup-simplify]: Simplify (+ 1 0) into 1 3.429 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.429 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.429 * [taylor]: Taking taylor expansion of x in x 3.429 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify 1 into 1 3.430 * [backup-simplify]: Simplify (sqrt 0) into 0 3.430 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.431 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 3.432 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.433 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (sqrt 1.0)) into (sqrt 1.0) 3.434 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.434 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 3.436 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 3.443 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (sqrt 1.0) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (- +nan.0))) 3.446 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (- +nan.0))) into (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (- +nan.0))) 3.447 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.447 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 3.447 * [backup-simplify]: Simplify (+ 0 0) into 0 3.451 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.452 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.454 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 3.470 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (sqrt 1.0) (/ (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (sqrt 1.0))) (* (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (- +nan.0))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 3/8 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0))))) 3.480 * [backup-simplify]: Simplify (- (* 3/8 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0))))) into (- (* 3/8 (/ 1 (pow (sqrt 1.0) 3))) (+ +nan.0 (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))) 3.496 * [backup-simplify]: Simplify (+ (* (- (* 3/8 (/ 1 (pow (sqrt 1.0) 3))) (+ +nan.0 (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))) (pow x 2)) (+ (* (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (- +nan.0))) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 3/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 1/2 (/ x (sqrt 1.0))) (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (- (* +nan.0 x)))))))) 3.496 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))))) (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))))) into (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) 3.496 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 3.496 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.496 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.496 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.496 * [taylor]: Taking taylor expansion of 1.0 in x 3.496 * [backup-simplify]: Simplify 1.0 into 1.0 3.496 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.497 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.497 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.497 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.497 * [taylor]: Taking taylor expansion of x in x 3.497 * [backup-simplify]: Simplify 0 into 0 3.497 * [backup-simplify]: Simplify 1 into 1 3.497 * [backup-simplify]: Simplify (/ 1 1) into 1 3.497 * [backup-simplify]: Simplify (sqrt 0) into 0 3.498 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.498 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.498 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.498 * [taylor]: Taking taylor expansion of 1.0 in x 3.498 * [backup-simplify]: Simplify 1.0 into 1.0 3.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.498 * [taylor]: Taking taylor expansion of x in x 3.498 * [backup-simplify]: Simplify 0 into 0 3.498 * [backup-simplify]: Simplify 1 into 1 3.499 * [backup-simplify]: Simplify (/ 1 1) into 1 3.499 * [backup-simplify]: Simplify (+ 0 1) into 1 3.499 * [backup-simplify]: Simplify (sqrt 0) into 0 3.500 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.501 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 3.501 * [backup-simplify]: Simplify (+ 0 0) into 0 3.501 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.502 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (- +nan.0)) into (* +nan.0 (pow (sqrt 1.0) 2)) 3.502 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.502 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.502 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.502 * [taylor]: Taking taylor expansion of 1.0 in x 3.502 * [backup-simplify]: Simplify 1.0 into 1.0 3.503 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.503 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.503 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.503 * [taylor]: Taking taylor expansion of x in x 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.504 * [backup-simplify]: Simplify (/ 1 1) into 1 3.504 * [backup-simplify]: Simplify (sqrt 0) into 0 3.505 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.505 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.505 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.505 * [taylor]: Taking taylor expansion of 1.0 in x 3.505 * [backup-simplify]: Simplify 1.0 into 1.0 3.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.505 * [taylor]: Taking taylor expansion of x in x 3.505 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify 1 into 1 3.506 * [backup-simplify]: Simplify (/ 1 1) into 1 3.506 * [backup-simplify]: Simplify (+ 0 1) into 1 3.506 * [backup-simplify]: Simplify (sqrt 0) into 0 3.507 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.508 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 3.509 * [backup-simplify]: Simplify (+ 0 0) into 0 3.509 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.511 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (- +nan.0)) into (* +nan.0 (pow (sqrt 1.0) 2)) 3.512 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 1.0) 2)) into (* +nan.0 (pow (sqrt 1.0) 2)) 3.513 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 3.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.516 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.516 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.518 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.518 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.530 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ (- +nan.0) (- +nan.0))))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.532 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.533 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.534 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 3.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.537 * [backup-simplify]: Simplify (+ 0 0) into 0 3.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.539 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.547 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ (- +nan.0) (- +nan.0))) (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ (- +nan.0) (- +nan.0))))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.548 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.553 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 x) 2)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ 1 x)) (* +nan.0 (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) x)) (- (* +nan.0 (pow (sqrt 1.0) 2))))))) 3.554 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))))) (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))))) into (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 3.554 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 3.554 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.554 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.554 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.554 * [taylor]: Taking taylor expansion of 1.0 in x 3.554 * [backup-simplify]: Simplify 1.0 into 1.0 3.554 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.555 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.555 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.555 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.555 * [taylor]: Taking taylor expansion of -1 in x 3.555 * [backup-simplify]: Simplify -1 into -1 3.555 * [taylor]: Taking taylor expansion of x in x 3.555 * [backup-simplify]: Simplify 0 into 0 3.555 * [backup-simplify]: Simplify 1 into 1 3.555 * [backup-simplify]: Simplify (/ -1 1) into -1 3.556 * [backup-simplify]: Simplify (sqrt 0) into 0 3.556 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.556 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.556 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.556 * [taylor]: Taking taylor expansion of 1.0 in x 3.556 * [backup-simplify]: Simplify 1.0 into 1.0 3.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.556 * [taylor]: Taking taylor expansion of x in x 3.557 * [backup-simplify]: Simplify 0 into 0 3.557 * [backup-simplify]: Simplify 1 into 1 3.557 * [backup-simplify]: Simplify (/ 1 1) into 1 3.557 * [backup-simplify]: Simplify (- 1) into -1 3.557 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.557 * [backup-simplify]: Simplify (sqrt 0) into 0 3.558 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.559 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 3.559 * [backup-simplify]: Simplify (+ 0 0) into 0 3.559 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.561 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (- +nan.0)) into (* +nan.0 (pow (sqrt 1.0) 2)) 3.561 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.561 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 3.561 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.561 * [taylor]: Taking taylor expansion of 1.0 in x 3.561 * [backup-simplify]: Simplify 1.0 into 1.0 3.561 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.561 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.561 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.561 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.561 * [taylor]: Taking taylor expansion of -1 in x 3.562 * [backup-simplify]: Simplify -1 into -1 3.562 * [taylor]: Taking taylor expansion of x in x 3.562 * [backup-simplify]: Simplify 0 into 0 3.562 * [backup-simplify]: Simplify 1 into 1 3.562 * [backup-simplify]: Simplify (/ -1 1) into -1 3.562 * [backup-simplify]: Simplify (sqrt 0) into 0 3.563 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.563 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.563 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.563 * [taylor]: Taking taylor expansion of 1.0 in x 3.563 * [backup-simplify]: Simplify 1.0 into 1.0 3.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.563 * [taylor]: Taking taylor expansion of x in x 3.563 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify 1 into 1 3.563 * [backup-simplify]: Simplify (/ 1 1) into 1 3.564 * [backup-simplify]: Simplify (- 1) into -1 3.564 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.564 * [backup-simplify]: Simplify (sqrt 0) into 0 3.565 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.566 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 3.566 * [backup-simplify]: Simplify (+ 0 0) into 0 3.566 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.567 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (- +nan.0)) into (* +nan.0 (pow (sqrt 1.0) 2)) 3.568 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 1.0) 2)) into (* +nan.0 (pow (sqrt 1.0) 2)) 3.569 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 3.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.571 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.572 * [backup-simplify]: Simplify (- 0) into 0 3.572 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.574 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.574 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.580 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ (- +nan.0) (- +nan.0))))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.581 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.582 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.583 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 3.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.585 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.586 * [backup-simplify]: Simplify (- 0) into 0 3.586 * [backup-simplify]: Simplify (+ 0 0) into 0 3.588 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.589 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.596 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ (- +nan.0) (- +nan.0))) (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ (- +nan.0) (- +nan.0))))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.597 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 3.602 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 (- x)) 2)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ 1 (- x))) (* +nan.0 (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) x)) (- (* +nan.0 (pow (sqrt 1.0) 2))))))) 3.602 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 3.602 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 3.602 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 3.602 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.602 * [taylor]: Taking taylor expansion of 1.0 in x 3.602 * [backup-simplify]: Simplify 1.0 into 1.0 3.602 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.602 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.602 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.602 * [taylor]: Taking taylor expansion of x in x 3.602 * [backup-simplify]: Simplify 0 into 0 3.602 * [backup-simplify]: Simplify 1 into 1 3.602 * [taylor]: Taking taylor expansion of 1.0 in x 3.602 * [backup-simplify]: Simplify 1.0 into 1.0 3.602 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.603 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.603 * [backup-simplify]: Simplify (+ 1 0) into 1 3.604 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.604 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.604 * [taylor]: Taking taylor expansion of x in x 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify 1 into 1 3.604 * [backup-simplify]: Simplify (sqrt 0) into 0 3.605 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.605 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.606 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.606 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.606 * [taylor]: Taking taylor expansion of 1.0 in x 3.606 * [backup-simplify]: Simplify 1.0 into 1.0 3.606 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.606 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.606 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.606 * [taylor]: Taking taylor expansion of x in x 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 1 into 1 3.606 * [taylor]: Taking taylor expansion of 1.0 in x 3.606 * [backup-simplify]: Simplify 1.0 into 1.0 3.606 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.607 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.607 * [backup-simplify]: Simplify (+ 1 0) into 1 3.608 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.608 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.608 * [taylor]: Taking taylor expansion of x in x 3.608 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify 1 into 1 3.608 * [backup-simplify]: Simplify (sqrt 0) into 0 3.609 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.609 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.610 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.610 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.611 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 3.626 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 3.634 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 3.635 * [backup-simplify]: Simplify (+ 0 0) into 0 3.640 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.642 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.644 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 3.679 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (sqrt 1.0))) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 3.697 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 3.725 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) (pow x 2)) (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) 3.725 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) 3.725 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 3.725 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.725 * [taylor]: Taking taylor expansion of 1.0 in x 3.725 * [backup-simplify]: Simplify 1.0 into 1.0 3.726 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.726 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.726 * [taylor]: Taking taylor expansion of x in x 3.726 * [backup-simplify]: Simplify 0 into 0 3.726 * [backup-simplify]: Simplify 1 into 1 3.726 * [backup-simplify]: Simplify (/ 1 1) into 1 3.726 * [backup-simplify]: Simplify (sqrt 0) into 0 3.727 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.727 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.727 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.728 * [taylor]: Taking taylor expansion of 1.0 in x 3.728 * [backup-simplify]: Simplify 1.0 into 1.0 3.728 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.728 * [taylor]: Taking taylor expansion of x in x 3.728 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify 1 into 1 3.728 * [backup-simplify]: Simplify (/ 1 1) into 1 3.728 * [backup-simplify]: Simplify (+ 0 1) into 1 3.729 * [backup-simplify]: Simplify (sqrt 0) into 0 3.730 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.730 * [backup-simplify]: Simplify (+ 0 0) into 0 3.730 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.731 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.731 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.731 * [taylor]: Taking taylor expansion of 1.0 in x 3.731 * [backup-simplify]: Simplify 1.0 into 1.0 3.731 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.731 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.731 * [taylor]: Taking taylor expansion of x in x 3.731 * [backup-simplify]: Simplify 0 into 0 3.731 * [backup-simplify]: Simplify 1 into 1 3.732 * [backup-simplify]: Simplify (/ 1 1) into 1 3.732 * [backup-simplify]: Simplify (sqrt 0) into 0 3.733 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.733 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.733 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.733 * [taylor]: Taking taylor expansion of 1.0 in x 3.733 * [backup-simplify]: Simplify 1.0 into 1.0 3.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.733 * [taylor]: Taking taylor expansion of x in x 3.733 * [backup-simplify]: Simplify 0 into 0 3.733 * [backup-simplify]: Simplify 1 into 1 3.734 * [backup-simplify]: Simplify (/ 1 1) into 1 3.734 * [backup-simplify]: Simplify (+ 0 1) into 1 3.734 * [backup-simplify]: Simplify (sqrt 0) into 0 3.735 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.735 * [backup-simplify]: Simplify (+ 0 0) into 0 3.735 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.742 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.742 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.744 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.745 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.748 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.748 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.751 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.751 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.755 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.756 * [backup-simplify]: Simplify (+ 0 0) into 0 3.759 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.760 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.765 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.765 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.766 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.766 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 3.766 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 3.766 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.766 * [taylor]: Taking taylor expansion of 1.0 in x 3.766 * [backup-simplify]: Simplify 1.0 into 1.0 3.766 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.766 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.766 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.766 * [taylor]: Taking taylor expansion of -1 in x 3.766 * [backup-simplify]: Simplify -1 into -1 3.766 * [taylor]: Taking taylor expansion of x in x 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.767 * [backup-simplify]: Simplify (/ -1 1) into -1 3.767 * [backup-simplify]: Simplify (sqrt 0) into 0 3.768 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.768 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.768 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.768 * [taylor]: Taking taylor expansion of 1.0 in x 3.768 * [backup-simplify]: Simplify 1.0 into 1.0 3.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.768 * [taylor]: Taking taylor expansion of x in x 3.768 * [backup-simplify]: Simplify 0 into 0 3.768 * [backup-simplify]: Simplify 1 into 1 3.768 * [backup-simplify]: Simplify (/ 1 1) into 1 3.768 * [backup-simplify]: Simplify (- 1) into -1 3.769 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.769 * [backup-simplify]: Simplify (sqrt 0) into 0 3.770 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.770 * [backup-simplify]: Simplify (+ 0 0) into 0 3.770 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.771 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.771 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.771 * [taylor]: Taking taylor expansion of 1.0 in x 3.771 * [backup-simplify]: Simplify 1.0 into 1.0 3.771 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.771 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.771 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.771 * [taylor]: Taking taylor expansion of -1 in x 3.771 * [backup-simplify]: Simplify -1 into -1 3.771 * [taylor]: Taking taylor expansion of x in x 3.771 * [backup-simplify]: Simplify 0 into 0 3.771 * [backup-simplify]: Simplify 1 into 1 3.771 * [backup-simplify]: Simplify (/ -1 1) into -1 3.771 * [backup-simplify]: Simplify (sqrt 0) into 0 3.772 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.772 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.772 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.772 * [taylor]: Taking taylor expansion of 1.0 in x 3.772 * [backup-simplify]: Simplify 1.0 into 1.0 3.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.772 * [taylor]: Taking taylor expansion of x in x 3.772 * [backup-simplify]: Simplify 0 into 0 3.772 * [backup-simplify]: Simplify 1 into 1 3.772 * [backup-simplify]: Simplify (/ 1 1) into 1 3.773 * [backup-simplify]: Simplify (- 1) into -1 3.773 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.773 * [backup-simplify]: Simplify (sqrt 0) into 0 3.774 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.774 * [backup-simplify]: Simplify (+ 0 0) into 0 3.775 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.775 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.775 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.779 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.779 * [backup-simplify]: Simplify (- 0) into 0 3.780 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.782 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.783 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.785 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.785 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.788 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.789 * [backup-simplify]: Simplify (- 0) into 0 3.789 * [backup-simplify]: Simplify (+ 0 0) into 0 3.791 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.791 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.795 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.795 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.796 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.796 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.796 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 3.796 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 3.796 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.796 * [taylor]: Taking taylor expansion of 1.0 in x 3.796 * [backup-simplify]: Simplify 1.0 into 1.0 3.796 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.796 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.796 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.796 * [taylor]: Taking taylor expansion of x in x 3.796 * [backup-simplify]: Simplify 0 into 0 3.796 * [backup-simplify]: Simplify 1 into 1 3.796 * [taylor]: Taking taylor expansion of 1.0 in x 3.796 * [backup-simplify]: Simplify 1.0 into 1.0 3.797 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.797 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.797 * [backup-simplify]: Simplify (+ 1 0) into 1 3.798 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.798 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.798 * [taylor]: Taking taylor expansion of x in x 3.798 * [backup-simplify]: Simplify 0 into 0 3.798 * [backup-simplify]: Simplify 1 into 1 3.798 * [backup-simplify]: Simplify (sqrt 0) into 0 3.799 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.800 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.800 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.800 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.800 * [taylor]: Taking taylor expansion of 1.0 in x 3.800 * [backup-simplify]: Simplify 1.0 into 1.0 3.800 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.800 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.800 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.800 * [taylor]: Taking taylor expansion of x in x 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify 1 into 1 3.800 * [taylor]: Taking taylor expansion of 1.0 in x 3.800 * [backup-simplify]: Simplify 1.0 into 1.0 3.801 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.801 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.801 * [backup-simplify]: Simplify (+ 1 0) into 1 3.802 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.802 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.802 * [taylor]: Taking taylor expansion of x in x 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify 1 into 1 3.802 * [backup-simplify]: Simplify (sqrt 0) into 0 3.803 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.804 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.804 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.805 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 3.806 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 3.811 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 3.816 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 3.817 * [backup-simplify]: Simplify (+ 0 0) into 0 3.820 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 3.822 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.823 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 3.853 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (sqrt 1.0))) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 3.871 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 3.898 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) (pow x 2)) (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) 3.898 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) 3.898 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 3.898 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.898 * [taylor]: Taking taylor expansion of 1.0 in x 3.898 * [backup-simplify]: Simplify 1.0 into 1.0 3.898 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.898 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.898 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.898 * [taylor]: Taking taylor expansion of x in x 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify 1 into 1 3.898 * [backup-simplify]: Simplify (/ 1 1) into 1 3.899 * [backup-simplify]: Simplify (sqrt 0) into 0 3.900 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.900 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.900 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.900 * [taylor]: Taking taylor expansion of 1.0 in x 3.900 * [backup-simplify]: Simplify 1.0 into 1.0 3.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.900 * [taylor]: Taking taylor expansion of x in x 3.900 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify 1 into 1 3.900 * [backup-simplify]: Simplify (/ 1 1) into 1 3.901 * [backup-simplify]: Simplify (+ 0 1) into 1 3.901 * [backup-simplify]: Simplify (sqrt 0) into 0 3.902 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.902 * [backup-simplify]: Simplify (+ 0 0) into 0 3.903 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.903 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.903 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.904 * [taylor]: Taking taylor expansion of 1.0 in x 3.904 * [backup-simplify]: Simplify 1.0 into 1.0 3.904 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.904 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.904 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.904 * [taylor]: Taking taylor expansion of x in x 3.904 * [backup-simplify]: Simplify 0 into 0 3.904 * [backup-simplify]: Simplify 1 into 1 3.904 * [backup-simplify]: Simplify (/ 1 1) into 1 3.904 * [backup-simplify]: Simplify (sqrt 0) into 0 3.905 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.905 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.905 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.906 * [taylor]: Taking taylor expansion of 1.0 in x 3.906 * [backup-simplify]: Simplify 1.0 into 1.0 3.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.906 * [taylor]: Taking taylor expansion of x in x 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify 1 into 1 3.906 * [backup-simplify]: Simplify (/ 1 1) into 1 3.906 * [backup-simplify]: Simplify (+ 0 1) into 1 3.907 * [backup-simplify]: Simplify (sqrt 0) into 0 3.908 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.908 * [backup-simplify]: Simplify (+ 0 0) into 0 3.908 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.909 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.909 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.912 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.913 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.915 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.915 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.918 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.918 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.921 * [backup-simplify]: Simplify (+ 0 0) into 0 3.923 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.924 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.927 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.927 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.928 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.928 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 3.928 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 3.928 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.928 * [taylor]: Taking taylor expansion of 1.0 in x 3.928 * [backup-simplify]: Simplify 1.0 into 1.0 3.928 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.928 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.928 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.928 * [taylor]: Taking taylor expansion of -1 in x 3.928 * [backup-simplify]: Simplify -1 into -1 3.928 * [taylor]: Taking taylor expansion of x in x 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 1 into 1 3.928 * [backup-simplify]: Simplify (/ -1 1) into -1 3.929 * [backup-simplify]: Simplify (sqrt 0) into 0 3.929 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.929 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.930 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.930 * [taylor]: Taking taylor expansion of 1.0 in x 3.930 * [backup-simplify]: Simplify 1.0 into 1.0 3.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.930 * [taylor]: Taking taylor expansion of x in x 3.930 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify 1 into 1 3.930 * [backup-simplify]: Simplify (/ 1 1) into 1 3.930 * [backup-simplify]: Simplify (- 1) into -1 3.930 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.931 * [backup-simplify]: Simplify (sqrt 0) into 0 3.931 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.932 * [backup-simplify]: Simplify (+ 0 0) into 0 3.932 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.932 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.932 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.932 * [taylor]: Taking taylor expansion of 1.0 in x 3.932 * [backup-simplify]: Simplify 1.0 into 1.0 3.932 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.932 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.932 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.932 * [taylor]: Taking taylor expansion of -1 in x 3.932 * [backup-simplify]: Simplify -1 into -1 3.932 * [taylor]: Taking taylor expansion of x in x 3.932 * [backup-simplify]: Simplify 0 into 0 3.932 * [backup-simplify]: Simplify 1 into 1 3.933 * [backup-simplify]: Simplify (/ -1 1) into -1 3.933 * [backup-simplify]: Simplify (sqrt 0) into 0 3.934 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.934 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.934 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.934 * [taylor]: Taking taylor expansion of 1.0 in x 3.934 * [backup-simplify]: Simplify 1.0 into 1.0 3.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.934 * [taylor]: Taking taylor expansion of x in x 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify 1 into 1 3.934 * [backup-simplify]: Simplify (/ 1 1) into 1 3.934 * [backup-simplify]: Simplify (- 1) into -1 3.935 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.935 * [backup-simplify]: Simplify (sqrt 0) into 0 3.936 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.936 * [backup-simplify]: Simplify (+ 0 0) into 0 3.936 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.937 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 3.937 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.945 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.946 * [backup-simplify]: Simplify (- 0) into 0 3.946 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.948 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.948 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.950 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.951 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.954 * [backup-simplify]: Simplify (- 0) into 0 3.954 * [backup-simplify]: Simplify (+ 0 0) into 0 3.956 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.957 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 3.960 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 3.960 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.961 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 3.961 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.961 * [backup-simplify]: Simplify (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) into (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) 3.961 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in (x) around 0 3.961 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 3.961 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.961 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.961 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.961 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.961 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.961 * [taylor]: Taking taylor expansion of x in x 3.961 * [backup-simplify]: Simplify 0 into 0 3.961 * [backup-simplify]: Simplify 1 into 1 3.961 * [taylor]: Taking taylor expansion of 1.0 in x 3.961 * [backup-simplify]: Simplify 1.0 into 1.0 3.962 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.962 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.962 * [backup-simplify]: Simplify (+ 1 0) into 1 3.963 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.963 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.963 * [taylor]: Taking taylor expansion of x in x 3.963 * [backup-simplify]: Simplify 0 into 0 3.963 * [backup-simplify]: Simplify 1 into 1 3.963 * [backup-simplify]: Simplify (sqrt 0) into 0 3.964 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.965 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.965 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 3.966 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 1.0))) into (sqrt (/ 1 (sqrt 1.0))) 3.967 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 3.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) 3.980 * [backup-simplify]: Simplify (/ (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))))) 3.980 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.980 * [taylor]: Taking taylor expansion of 1.0 in x 3.980 * [backup-simplify]: Simplify 1.0 into 1.0 3.981 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.981 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 3.981 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.981 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.981 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.981 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.981 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.981 * [taylor]: Taking taylor expansion of x in x 3.981 * [backup-simplify]: Simplify 0 into 0 3.981 * [backup-simplify]: Simplify 1 into 1 3.981 * [taylor]: Taking taylor expansion of 1.0 in x 3.981 * [backup-simplify]: Simplify 1.0 into 1.0 3.981 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.982 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.982 * [backup-simplify]: Simplify (+ 1 0) into 1 3.983 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 3.983 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.983 * [taylor]: Taking taylor expansion of x in x 3.983 * [backup-simplify]: Simplify 0 into 0 3.983 * [backup-simplify]: Simplify 1 into 1 3.983 * [backup-simplify]: Simplify (sqrt 0) into 0 3.984 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.984 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.985 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 3.986 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 1.0))) into (sqrt (/ 1 (sqrt 1.0))) 3.987 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 3.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) 4.000 * [backup-simplify]: Simplify (/ (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))))) 4.000 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.000 * [taylor]: Taking taylor expansion of 1.0 in x 4.000 * [backup-simplify]: Simplify 1.0 into 1.0 4.000 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.002 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 1.0))) (sqrt 1.0)) into (sqrt (sqrt 1.0)) 4.003 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 4.014 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 1.0))) 0) (* (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))))) (sqrt 1.0))) into (- (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (* 1/4 (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) 4.022 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (* 1/4 (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) into (- (+ (* 1/4 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (* +nan.0 (sqrt (/ 1 (sqrt 1.0))))))) 4.023 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.023 * [backup-simplify]: Simplify (+ 0 0) into 0 4.035 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 4.038 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.040 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 4.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (sqrt 1.0))) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 3/8 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 4.101 * [backup-simplify]: Simplify (/ (- (- (* 3/8 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) (pow (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))))) 2) (+)) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* 1/2 (* (sqrt (sqrt 1.0)) (- (* 5/16 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))))) 4.161 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 1.0))) 0) (+ (* (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))))) 0) (* (* 1/2 (* (sqrt (sqrt 1.0)) (- (* 5/16 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))))) (sqrt 1.0)))) into (- (* 5/32 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5)))) (- (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3))))))))) 4.176 * [backup-simplify]: Simplify (- (* 5/32 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5)))) (- (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3))))))))) into (- (* 5/32 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (* +nan.0 (sqrt (/ 1 (sqrt 1.0))))))))) 4.204 * [backup-simplify]: Simplify (+ (* (- (* 5/32 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (* +nan.0 (sqrt (/ 1 (sqrt 1.0))))))))) (pow x 2)) (+ (* (- (+ (* 1/4 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (* +nan.0 (sqrt (/ 1 (sqrt 1.0))))))) x) (sqrt (sqrt 1.0)))) into (- (+ (* 5/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7))))) (sqrt (sqrt 1.0))) (+ (* 1/4 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (- (+ (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (sqrt 1.0))))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 5)))))))))))))) 4.204 * [backup-simplify]: Simplify (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))))) into (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) 4.204 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 4.204 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 4.204 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 4.204 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 4.204 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 4.204 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.205 * [taylor]: Taking taylor expansion of x in x 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 1 into 1 4.205 * [backup-simplify]: Simplify (/ 1 1) into 1 4.205 * [backup-simplify]: Simplify (sqrt 0) into 0 4.206 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.206 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.207 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.207 * [taylor]: Taking taylor expansion of 1.0 in x 4.207 * [backup-simplify]: Simplify 1.0 into 1.0 4.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.207 * [taylor]: Taking taylor expansion of x in x 4.207 * [backup-simplify]: Simplify 0 into 0 4.207 * [backup-simplify]: Simplify 1 into 1 4.207 * [backup-simplify]: Simplify (/ 1 1) into 1 4.207 * [backup-simplify]: Simplify (+ 0 1) into 1 4.208 * [backup-simplify]: Simplify (sqrt 0) into 0 4.208 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.209 * [backup-simplify]: Simplify (+ 0 0) into 0 4.209 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.209 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 4.210 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 4.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.212 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.213 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.214 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.214 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.216 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.218 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 4.218 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.218 * [taylor]: Taking taylor expansion of 1.0 in x 4.218 * [backup-simplify]: Simplify 1.0 into 1.0 4.218 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.219 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 4.219 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 4.219 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 4.219 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 4.219 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.219 * [taylor]: Taking taylor expansion of x in x 4.219 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify 1 into 1 4.219 * [backup-simplify]: Simplify (/ 1 1) into 1 4.220 * [backup-simplify]: Simplify (sqrt 0) into 0 4.221 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.221 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.221 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.221 * [taylor]: Taking taylor expansion of 1.0 in x 4.221 * [backup-simplify]: Simplify 1.0 into 1.0 4.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.221 * [taylor]: Taking taylor expansion of x in x 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify 1 into 1 4.221 * [backup-simplify]: Simplify (/ 1 1) into 1 4.221 * [backup-simplify]: Simplify (+ 0 1) into 1 4.222 * [backup-simplify]: Simplify (sqrt 0) into 0 4.223 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.223 * [backup-simplify]: Simplify (+ 0 0) into 0 4.223 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.224 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 4.224 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 4.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.228 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.228 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.231 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.231 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.234 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.235 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 4.235 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.235 * [taylor]: Taking taylor expansion of 1.0 in x 4.235 * [backup-simplify]: Simplify 1.0 into 1.0 4.236 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.237 * [backup-simplify]: Simplify (* (sqrt +nan.0) (sqrt 1.0)) into (* (sqrt +nan.0) (sqrt 1.0)) 4.239 * [backup-simplify]: Simplify (* (sqrt +nan.0) (sqrt 1.0)) into (* (sqrt +nan.0) (sqrt 1.0)) 4.250 * [backup-simplify]: Simplify (+ (* (sqrt +nan.0) 0) (* (/ +nan.0 (sqrt +nan.0)) (sqrt 1.0))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 4.252 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 4.253 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.258 * [backup-simplify]: Simplify (+ 0 0) into 0 4.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.262 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.266 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.271 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 4.285 * [backup-simplify]: Simplify (+ (* (sqrt +nan.0) 0) (+ (* (/ +nan.0 (sqrt +nan.0)) 0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt 1.0)))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 4.292 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 4.304 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) (pow (/ 1 x) 2)) (+ (* (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) (/ 1 x)) (* (sqrt +nan.0) (sqrt 1.0)))) into (- (* (sqrt +nan.0) (sqrt 1.0)) (+ (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow x 2)))) (- (+ (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) x))) (- (* +nan.0 (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow x 2))))))))) 4.305 * [backup-simplify]: Simplify (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))))) into (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) 4.305 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 4.305 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 4.305 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 4.305 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 4.305 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 4.305 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.305 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.305 * [taylor]: Taking taylor expansion of -1 in x 4.305 * [backup-simplify]: Simplify -1 into -1 4.305 * [taylor]: Taking taylor expansion of x in x 4.305 * [backup-simplify]: Simplify 0 into 0 4.305 * [backup-simplify]: Simplify 1 into 1 4.305 * [backup-simplify]: Simplify (/ -1 1) into -1 4.306 * [backup-simplify]: Simplify (sqrt 0) into 0 4.307 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.307 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.307 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.307 * [taylor]: Taking taylor expansion of 1.0 in x 4.307 * [backup-simplify]: Simplify 1.0 into 1.0 4.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.307 * [taylor]: Taking taylor expansion of x in x 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 1 into 1 4.307 * [backup-simplify]: Simplify (/ 1 1) into 1 4.307 * [backup-simplify]: Simplify (- 1) into -1 4.308 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.308 * [backup-simplify]: Simplify (sqrt 0) into 0 4.309 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.309 * [backup-simplify]: Simplify (+ 0 0) into 0 4.309 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.310 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 4.310 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 4.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.312 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.313 * [backup-simplify]: Simplify (- 0) into 0 4.313 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.315 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.316 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.318 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.320 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 4.320 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.320 * [taylor]: Taking taylor expansion of 1.0 in x 4.320 * [backup-simplify]: Simplify 1.0 into 1.0 4.320 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.321 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 4.321 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 4.321 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 4.321 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 4.321 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.321 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.321 * [taylor]: Taking taylor expansion of -1 in x 4.321 * [backup-simplify]: Simplify -1 into -1 4.321 * [taylor]: Taking taylor expansion of x in x 4.321 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify 1 into 1 4.321 * [backup-simplify]: Simplify (/ -1 1) into -1 4.322 * [backup-simplify]: Simplify (sqrt 0) into 0 4.323 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.323 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.323 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.323 * [taylor]: Taking taylor expansion of 1.0 in x 4.323 * [backup-simplify]: Simplify 1.0 into 1.0 4.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.323 * [taylor]: Taking taylor expansion of x in x 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 1 into 1 4.323 * [backup-simplify]: Simplify (/ 1 1) into 1 4.324 * [backup-simplify]: Simplify (- 1) into -1 4.324 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.324 * [backup-simplify]: Simplify (sqrt 0) into 0 4.325 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.326 * [backup-simplify]: Simplify (+ 0 0) into 0 4.326 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.327 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 4.327 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 4.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.331 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.332 * [backup-simplify]: Simplify (- 0) into 0 4.332 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.335 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.335 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.338 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.339 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 4.339 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 4.339 * [taylor]: Taking taylor expansion of 1.0 in x 4.340 * [backup-simplify]: Simplify 1.0 into 1.0 4.340 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 4.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 4.342 * [backup-simplify]: Simplify (* (sqrt +nan.0) (sqrt 1.0)) into (* (sqrt +nan.0) (sqrt 1.0)) 4.343 * [backup-simplify]: Simplify (* (sqrt +nan.0) (sqrt 1.0)) into (* (sqrt +nan.0) (sqrt 1.0)) 4.346 * [backup-simplify]: Simplify (+ (* (sqrt +nan.0) 0) (* (/ +nan.0 (sqrt +nan.0)) (sqrt 1.0))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 4.349 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 4.350 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 4.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.354 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.355 * [backup-simplify]: Simplify (- 0) into 0 4.355 * [backup-simplify]: Simplify (+ 0 0) into 0 4.360 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.361 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 4.373 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 4.378 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 4.392 * [backup-simplify]: Simplify (+ (* (sqrt +nan.0) 0) (+ (* (/ +nan.0 (sqrt +nan.0)) 0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt 1.0)))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 4.399 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 4.411 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) (/ 1 (- x))) (* (sqrt +nan.0) (sqrt 1.0)))) into (- (* (sqrt +nan.0) (sqrt 1.0)) (+ (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow x 2)))) (- (+ (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) x))) (- (* +nan.0 (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow x 2))))))))) 4.411 * * * [progress]: simplifying candidates 4.419 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(/ (sqrt h1) (* (sqrt h2) (pow h0 2)))) (- (+ (* h2 (/ (sqrt h1) (* (sqrt h2) h0))) (- (* h2 (/ (sqrt h1) (* (pow (sqrt h2) 3) (pow h0 2))))))))) 4.499 * * * [progress]: adding candidates to table 5.324 * [progress]: [Phase 3 of 3] Extracting. 5.324 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 5.327 * * * [regime-changes]: Trying 1 branch expressions: (x) 5.327 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 5.363 * * * [regime]: Found split indices: #