7.395 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.068 * * * [progress]: [2/2] Setting up program. 0.072 * [progress]: [Phase 2 of 3] Improving. 0.073 * [simplify]: Simplifying: (log (+ x (sqrt (- (* x x) 1.0)))) 0.073 * * [simplify]: iteration 0: 7 enodes 0.074 * * [simplify]: iteration 1: 11 enodes 0.075 * * [simplify]: iteration 2: 12 enodes 0.077 * * [simplify]: iteration complete: 12 enodes 0.077 * * [simplify]: Extracting #0: cost 1 inf + 0 0.077 * * [simplify]: Extracting #1: cost 2 inf + 0 0.077 * * [simplify]: Extracting #2: cost 4 inf + 0 0.077 * * [simplify]: Extracting #3: cost 4 inf + 1 0.077 * * [simplify]: Extracting #4: cost 7 inf + 1 0.077 * * [simplify]: Extracting #5: cost 0 inf + 35 0.077 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1.0)))) 0.077 * * [progress]: iteration 1 / 4 0.077 * * * [progress]: picking best candidate 0.080 * * * * [pick]: Picked # 0.080 * * * [progress]: localizing error 0.090 * * * [progress]: generating rewritten candidates 0.090 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.101 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.129 * * * [progress]: generating series expansions 0.129 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.129 * [backup-simplify]: Simplify (sqrt (- (* x x) 1.0)) into (sqrt (- (pow x 2) 1.0)) 0.129 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.129 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.129 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [backup-simplify]: Simplify 1.0 into 1.0 0.129 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.130 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.132 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.132 * [backup-simplify]: Simplify (- 0) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.133 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.133 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [taylor]: Taking taylor expansion of 1.0 in x 0.133 * [backup-simplify]: Simplify 1.0 into 1.0 0.133 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.134 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.134 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.134 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.136 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (- 0) into 0 0.136 * [backup-simplify]: Simplify (+ 1 0) into 1 0.138 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.139 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- 1.0))) into (/ 1/2 (sqrt (- 1.0))) 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify (- 0) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.141 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- 1.0))))))) (* 2 (sqrt (- 1.0)))) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.142 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (- 1.0))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0)))) into (/ -1/8 (pow (sqrt (- 1.0)) 3)) 0.148 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (- 1.0)) 3)) into (/ -1/8 (pow (sqrt (- 1.0)) 3)) 0.151 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt (- 1.0)) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt (- 1.0))) (pow x 2)) (sqrt (- 1.0)))) into (- (+ (sqrt (- 1.0)) (* 1/2 (/ (pow x 2) (sqrt (- 1.0))))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) 0.151 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.152 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.152 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.152 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of 1.0 in x 0.152 * [backup-simplify]: Simplify 1.0 into 1.0 0.152 * [backup-simplify]: Simplify (+ 1 0) into 1 0.153 * [backup-simplify]: Simplify (sqrt 1) into 1 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.154 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.154 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (* 1 1) into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.155 * [backup-simplify]: Simplify 1.0 into 1.0 0.155 * [backup-simplify]: Simplify (+ 1 0) into 1 0.155 * [backup-simplify]: Simplify (sqrt 1) into 1 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.160 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.162 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.162 * [backup-simplify]: Simplify -0.5 into -0.5 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (- 0) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.168 * [backup-simplify]: Simplify -0.125 into -0.125 0.168 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 x) 3)) (+ (* -0.5 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) 0.168 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.168 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.168 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.168 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (* 1 1) into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [backup-simplify]: Simplify 1.0 into 1.0 0.169 * [backup-simplify]: Simplify (+ 1 0) into 1 0.170 * [backup-simplify]: Simplify (sqrt 1) into 1 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.171 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.171 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (* 1 1) into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [taylor]: Taking taylor expansion of 1.0 in x 0.172 * [backup-simplify]: Simplify 1.0 into 1.0 0.172 * [backup-simplify]: Simplify (+ 1 0) into 1 0.172 * [backup-simplify]: Simplify (sqrt 1) into 1 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.176 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.178 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.178 * [backup-simplify]: Simplify -0.5 into -0.5 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (- 0) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (- 0) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.185 * [backup-simplify]: Simplify -0.125 into -0.125 0.185 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- x)) 3)) (+ (* -0.5 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x))) x) 0.185 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.185 * [backup-simplify]: Simplify (+ x (sqrt (- (* x x) 1.0))) into (+ x (sqrt (- (pow x 2) 1.0))) 0.185 * [approximate]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1.0))) in (x) around 0 0.185 * [taylor]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1.0))) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.185 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [taylor]: Taking taylor expansion of 1.0 in x 0.185 * [backup-simplify]: Simplify 1.0 into 1.0 0.186 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.186 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.187 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.187 * [backup-simplify]: Simplify (- 0) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.188 * [taylor]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1.0))) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.188 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [taylor]: Taking taylor expansion of 1.0 in x 0.188 * [backup-simplify]: Simplify 1.0 into 1.0 0.188 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.189 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.189 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.189 * [backup-simplify]: Simplify (- 0) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 (sqrt (- 1.0))) into (sqrt (- 1.0)) 0.192 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.192 * [backup-simplify]: Simplify (+ 1 0) into 1 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (* 1 1) into 1 0.192 * [backup-simplify]: Simplify (- 0) into 0 0.193 * [backup-simplify]: Simplify (+ 1 0) into 1 0.195 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.196 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt (- 1.0)))) into (* 1/2 (/ 1 (sqrt (- 1.0)))) 0.197 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.199 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt (- 1.0))) (pow x 2)) (+ (* 1 x) (sqrt (- 1.0)))) into (+ x (+ (sqrt (- 1.0)) (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))))) 0.199 * [backup-simplify]: Simplify (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0))) into (+ (/ 1 x) (sqrt (- (/ 1 (pow x 2)) 1.0))) 0.199 * [approximate]: Taking taylor expansion of (+ (/ 1 x) (sqrt (- (/ 1 (pow x 2)) 1.0))) in (x) around 0 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (sqrt (- (/ 1 (pow x 2)) 1.0))) in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.200 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (* 1 1) into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [taylor]: Taking taylor expansion of 1.0 in x 0.200 * [backup-simplify]: Simplify 1.0 into 1.0 0.200 * [backup-simplify]: Simplify (+ 1 0) into 1 0.201 * [backup-simplify]: Simplify (sqrt 1) into 1 0.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (sqrt (- (/ 1 (pow x 2)) 1.0))) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.203 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (* 1 1) into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [taylor]: Taking taylor expansion of 1.0 in x 0.203 * [backup-simplify]: Simplify 1.0 into 1.0 0.204 * [backup-simplify]: Simplify (+ 1 0) into 1 0.204 * [backup-simplify]: Simplify (sqrt 1) into 1 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.209 * [backup-simplify]: Simplify (+ 1 1) into 2 0.209 * [backup-simplify]: Simplify 2 into 2 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.212 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.214 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.214 * [backup-simplify]: Simplify (+ 0 -0.5) into (- 0.5) 0.215 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (- 0) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (- 0) into 0 0.220 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.223 * [backup-simplify]: Simplify (+ 0 -0.125) into (- 0.125) 0.223 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.223 * [backup-simplify]: Simplify (+ (* (- 0.125) (pow (/ 1 x) 3)) (+ (* (- 0.5) (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) 0.224 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0))) into (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) 0.224 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.224 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.224 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.224 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.224 * [taylor]: Taking taylor expansion of x in x 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (* 1 1) into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [taylor]: Taking taylor expansion of 1.0 in x 0.224 * [backup-simplify]: Simplify 1.0 into 1.0 0.225 * [backup-simplify]: Simplify (+ 1 0) into 1 0.225 * [backup-simplify]: Simplify (sqrt 1) into 1 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.227 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.227 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (* 1 1) into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [taylor]: Taking taylor expansion of 1.0 in x 0.227 * [backup-simplify]: Simplify 1.0 into 1.0 0.228 * [backup-simplify]: Simplify (+ 1 0) into 1 0.228 * [backup-simplify]: Simplify (sqrt 1) into 1 0.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (/ 1 1) into 1 0.230 * [backup-simplify]: Simplify (- 1) into -1 0.230 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (- 0) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.235 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.239 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (- 0) into 0 0.241 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.241 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (- 0) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ -0.125 0) into (- 0.125) 0.256 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.125)) (* 2 (* -0.5 0)))) (* 2 1)) into 0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.268 * [backup-simplify]: Simplify (+ -0.0625 0) into (- 0.0625) 0.268 * [backup-simplify]: Simplify (- 0.0625) into (- 0.0625) 0.269 * [backup-simplify]: Simplify (+ (* (- 0.0625) (pow (/ 1 (- x)) 5)) (+ (* (- 0.125) (pow (/ 1 (- x)) 3)) (* (- 0.5) (/ 1 (- x))))) into (+ (* 0.0625 (/ 1 (pow x 5))) (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) 0.269 * * * [progress]: simplifying candidates 0.270 * [simplify]: Simplifying: (expm1 (sqrt (- (* x x) 1.0))) (log1p (sqrt (- (* x x) 1.0))) (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (* (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (sqrt (- (* x x) 1.0))) (sqrt (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt 1) (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (expm1 (+ x (sqrt (- (* x x) 1.0)))) (log1p (+ x (sqrt (- (* x x) 1.0)))) (* (exp x) (exp (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (* (* (+ x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0)))) (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0))))) (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)))) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (- (+ (sqrt (- 1.0)) (* 1/2 (/ (pow x 2) (sqrt (- 1.0))))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- x (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) (- (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x))) x) (+ x (+ (sqrt (- 1.0)) (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))))) (- (* 2 x) (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) (+ (* 0.0625 (/ 1 (pow x 5))) (+ (* 0.125 (/ 1 (pow x 3))) (* 0.5 (/ 1 x)))) 0.271 * * [simplify]: iteration 0: 94 enodes 0.289 * * [simplify]: iteration 1: 240 enodes 0.398 * * [simplify]: iteration 2: 970 enodes 0.804 * * [simplify]: iteration complete: 5001 enodes 0.804 * * [simplify]: Extracting #0: cost 38 inf + 0 0.806 * * [simplify]: Extracting #1: cost 378 inf + 2 0.818 * * [simplify]: Extracting #2: cost 1341 inf + 77 0.825 * * [simplify]: Extracting #3: cost 1498 inf + 4651 0.832 * * [simplify]: Extracting #4: cost 403 inf + 13731 0.843 * * [simplify]: Extracting #5: cost 200 inf + 16052 0.857 * * [simplify]: Extracting #6: cost 9 inf + 17470 0.870 * * [simplify]: Extracting #7: cost 0 inf + 17512 0.885 * [simplify]: Simplified to: (expm1 (hypot (sqrt (- 1.0)) x)) (log1p (hypot (sqrt (- 1.0)) x)) (log (hypot (sqrt (- 1.0)) x)) (exp (hypot (sqrt (- 1.0)) x)) (* (cbrt (hypot (sqrt (- 1.0)) x)) (cbrt (hypot (sqrt (- 1.0)) x))) (cbrt (hypot (sqrt (- 1.0)) x)) (pow (hypot (sqrt (- 1.0)) x) 3) (fabs (cbrt (- (* x x) 1.0))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (hypot (sqrt (- 1.0)) x)) (sqrt (hypot (sqrt (- 1.0)) x)) 1 (hypot (sqrt (- 1.0)) x) (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow x 6) (pow 1.0 3))) (sqrt (fma 1.0 (fma x x 1.0) (pow x 4))) (sqrt (fma 1.0 (- 1.0) (pow x 4))) (sqrt (fma x x 1.0)) 1/2 (sqrt (hypot (sqrt (- 1.0)) x)) (sqrt (hypot (sqrt (- 1.0)) x)) (expm1 (+ x (hypot (sqrt (- 1.0)) x))) (log1p (+ x (hypot (sqrt (- 1.0)) x))) (exp (+ x (hypot (sqrt (- 1.0)) x))) (log (+ x (hypot (sqrt (- 1.0)) x))) (exp (+ x (hypot (sqrt (- 1.0)) x))) (* (cbrt (+ x (hypot (sqrt (- 1.0)) x))) (cbrt (+ x (hypot (sqrt (- 1.0)) x)))) (cbrt (+ x (hypot (sqrt (- 1.0)) x))) (pow (+ x (hypot (sqrt (- 1.0)) x)) 3) (sqrt (+ x (hypot (sqrt (- 1.0)) x))) (sqrt (+ x (hypot (sqrt (- 1.0)) x))) (+ (pow (hypot (sqrt (- 1.0)) x) 3) (pow x 3)) (- (- (* 2 (* x x)) 1.0) (* (hypot (sqrt (- 1.0)) x) x)) (+ 0 1.0) (- x (hypot (sqrt (- 1.0)) x)) (+ x (hypot (sqrt (- 1.0)) x)) (fma -1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)) (fma 1/2 (/ (* x x) (sqrt (- 1.0))) (sqrt (- 1.0)))) (- (- x (/ 0.125 (pow x 3))) (/ 0.5 x)) (+ (- (/ 0.5 x) x) (/ 0.125 (pow x 3))) (fma (/ (* x x) (sqrt (- 1.0))) 1/2 (+ (sqrt (- 1.0)) x)) (fma 2 x (- (+ (/ 0.5 x) (/ 0.125 (pow x 3))))) (+ (/ 0.0625 (pow x 5)) (+ (/ 0.5 x) (/ 0.125 (pow x 3)))) 0.886 * * * [progress]: adding candidates to table 1.105 * * [progress]: iteration 2 / 4 1.105 * * * [progress]: picking best candidate 1.118 * * * * [pick]: Picked # 1.118 * * * [progress]: localizing error 1.144 * * * [progress]: generating rewritten candidates 1.144 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 1.203 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.215 * * * [progress]: generating series expansions 1.215 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 1.216 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))) into (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) 1.217 * [approximate]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) in (x) around 0 1.217 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) in x 1.217 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))) in x 1.217 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 1.217 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.217 * [taylor]: Taking taylor expansion of 1.0 in x 1.217 * [backup-simplify]: Simplify 1.0 into 1.0 1.217 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.218 * [taylor]: Taking taylor expansion of x in x 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 1 into 1 1.218 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.218 * [taylor]: Taking taylor expansion of x in x 1.218 * [backup-simplify]: Simplify 0 into 0 1.218 * [backup-simplify]: Simplify 1 into 1 1.218 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.218 * [taylor]: Taking taylor expansion of 1.0 in x 1.218 * [backup-simplify]: Simplify 1.0 into 1.0 1.219 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.221 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.222 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.223 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.225 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 1.228 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.228 * [backup-simplify]: Simplify (- 0) into 0 1.228 * [backup-simplify]: Simplify (+ 1 0) into 1 1.229 * [backup-simplify]: Simplify (+ 0 1) into 1 1.232 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 1.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 1.234 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) in x 1.234 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))) in x 1.234 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 1.234 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.234 * [taylor]: Taking taylor expansion of 1.0 in x 1.234 * [backup-simplify]: Simplify 1.0 into 1.0 1.234 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.235 * [taylor]: Taking taylor expansion of x in x 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify 1 into 1 1.235 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.235 * [taylor]: Taking taylor expansion of x in x 1.235 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify 1 into 1 1.235 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.235 * [taylor]: Taking taylor expansion of 1.0 in x 1.235 * [backup-simplify]: Simplify 1.0 into 1.0 1.236 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.237 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.238 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.240 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.241 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 1.244 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.244 * [backup-simplify]: Simplify (- 0) into 0 1.245 * [backup-simplify]: Simplify (+ 1 0) into 1 1.245 * [backup-simplify]: Simplify (+ 0 1) into 1 1.248 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 1.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 1.252 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.252 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.254 * [backup-simplify]: Simplify (- 0) into 0 1.254 * [backup-simplify]: Simplify (+ 0 0) into 0 1.256 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.256 * [backup-simplify]: Simplify (+ 0 0) into 0 1.257 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 1.264 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 1.268 * [backup-simplify]: Simplify (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 1.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.269 * [backup-simplify]: Simplify (- 0) into 0 1.270 * [backup-simplify]: Simplify (+ 0 0) into 0 1.271 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.271 * [backup-simplify]: Simplify (+ 0 0) into 0 1.273 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- (sqrt 1.0)))))) into 0 1.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))))))) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 1.275 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.277 * [backup-simplify]: Simplify (- 0) into 0 1.278 * [backup-simplify]: Simplify (+ 0 0) into 0 1.279 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.280 * [backup-simplify]: Simplify (+ 0 0) into 0 1.282 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- (sqrt 1.0))))))) into 0 1.296 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) 1.300 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) into (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) 1.309 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) (pow x 2)) (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (- (+ (sqrt (* -1 (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2)))))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) 1.309 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt 1.0) (/ 1 x))) (sqrt (- (/ 1 x) (sqrt 1.0)))) into (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) 1.309 * [approximate]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) in (x) around 0 1.309 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) in x 1.309 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0))) in x 1.309 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.309 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.309 * [taylor]: Taking taylor expansion of 1.0 in x 1.309 * [backup-simplify]: Simplify 1.0 into 1.0 1.310 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 1 into 1 1.310 * [backup-simplify]: Simplify (/ 1 1) into 1 1.310 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.311 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify 1 into 1 1.311 * [backup-simplify]: Simplify (/ 1 1) into 1 1.311 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.311 * [taylor]: Taking taylor expansion of 1.0 in x 1.311 * [backup-simplify]: Simplify 1.0 into 1.0 1.311 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.312 * [backup-simplify]: Simplify (+ 0 1) into 1 1.312 * [backup-simplify]: Simplify (+ 1 0) into 1 1.312 * [backup-simplify]: Simplify (* 1 1) into 1 1.313 * [backup-simplify]: Simplify (sqrt 1) into 1 1.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.314 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.314 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.315 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.317 * [backup-simplify]: Simplify (+ (* 1 (- (sqrt 1.0))) (* (sqrt 1.0) 1)) into 0 1.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.318 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) in x 1.318 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0))) in x 1.318 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.318 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.318 * [taylor]: Taking taylor expansion of 1.0 in x 1.318 * [backup-simplify]: Simplify 1.0 into 1.0 1.318 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.319 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify 1 into 1 1.319 * [backup-simplify]: Simplify (/ 1 1) into 1 1.319 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.319 * [taylor]: Taking taylor expansion of x in x 1.319 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify 1 into 1 1.319 * [backup-simplify]: Simplify (/ 1 1) into 1 1.319 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.319 * [taylor]: Taking taylor expansion of 1.0 in x 1.319 * [backup-simplify]: Simplify 1.0 into 1.0 1.319 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.320 * [backup-simplify]: Simplify (+ 0 1) into 1 1.320 * [backup-simplify]: Simplify (+ 1 0) into 1 1.321 * [backup-simplify]: Simplify (* 1 1) into 1 1.321 * [backup-simplify]: Simplify (sqrt 1) into 1 1.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.322 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.323 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.324 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.326 * [backup-simplify]: Simplify (+ (* 1 (- (sqrt 1.0))) (* (sqrt 1.0) 1)) into 0 1.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.326 * [backup-simplify]: Simplify 1 into 1 1.326 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.327 * [backup-simplify]: Simplify (- 0) into 0 1.328 * [backup-simplify]: Simplify (+ 0 0) into 0 1.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.329 * [backup-simplify]: Simplify (+ 0 0) into 0 1.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) (- (sqrt 1.0))) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 1.339 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 1.341 * [backup-simplify]: Simplify (* -1/2 (pow (sqrt 1.0) 2)) into (* -1/2 (pow (sqrt 1.0) 2)) 1.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.343 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.343 * [backup-simplify]: Simplify (- 0) into 0 1.344 * [backup-simplify]: Simplify (+ 0 0) into 0 1.345 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.346 * [backup-simplify]: Simplify (+ 0 0) into 0 1.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 (- (sqrt 1.0))) (* 0 1)))) into 0 1.350 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 1.350 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.352 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.352 * [backup-simplify]: Simplify (- 0) into 0 1.353 * [backup-simplify]: Simplify (+ 0 0) into 0 1.354 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.355 * [backup-simplify]: Simplify (+ 0 0) into 0 1.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 (- (sqrt 1.0))) (* 0 1))))) into 0 1.365 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1/2 (pow (sqrt 1.0) 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/8 (pow (sqrt 1.0) 4)) 1.367 * [backup-simplify]: Simplify (* -1/8 (pow (sqrt 1.0) 4)) into (* -1/8 (pow (sqrt 1.0) 4)) 1.371 * [backup-simplify]: Simplify (+ (* (* -1/8 (pow (sqrt 1.0) 4)) (pow (/ 1 x) 3)) (+ (* (* -1/2 (pow (sqrt 1.0) 2)) (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 1.372 * [backup-simplify]: Simplify (* (sqrt (+ (sqrt 1.0) (/ 1 (- x)))) (sqrt (- (/ 1 (- x)) (sqrt 1.0)))) into (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) 1.372 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 1.372 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.372 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.372 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.372 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.372 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.372 * [taylor]: Taking taylor expansion of 1.0 in x 1.372 * [backup-simplify]: Simplify 1.0 into 1.0 1.373 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.374 * [taylor]: Taking taylor expansion of x in x 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify 1 into 1 1.374 * [backup-simplify]: Simplify (/ 1 1) into 1 1.374 * [backup-simplify]: Simplify (+ 0 1) into 1 1.375 * [backup-simplify]: Simplify (- 1) into -1 1.375 * [backup-simplify]: Simplify (sqrt 0) into 0 1.376 * [backup-simplify]: Simplify (- 1) into -1 1.377 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.377 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.377 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.377 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.377 * [taylor]: Taking taylor expansion of 1.0 in x 1.377 * [backup-simplify]: Simplify 1.0 into 1.0 1.378 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.379 * [taylor]: Taking taylor expansion of x in x 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 1 into 1 1.379 * [backup-simplify]: Simplify (/ 1 1) into 1 1.380 * [backup-simplify]: Simplify (- 1) into -1 1.380 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.380 * [backup-simplify]: Simplify (sqrt 0) into 0 1.382 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.382 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.382 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.382 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.382 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.382 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.382 * [taylor]: Taking taylor expansion of 1.0 in x 1.382 * [backup-simplify]: Simplify 1.0 into 1.0 1.383 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.383 * [taylor]: Taking taylor expansion of x in x 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 1 into 1 1.384 * [backup-simplify]: Simplify (/ 1 1) into 1 1.384 * [backup-simplify]: Simplify (+ 0 1) into 1 1.385 * [backup-simplify]: Simplify (- 1) into -1 1.385 * [backup-simplify]: Simplify (sqrt 0) into 0 1.385 * [backup-simplify]: Simplify (- 1) into -1 1.387 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.387 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.387 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.387 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.387 * [taylor]: Taking taylor expansion of 1.0 in x 1.387 * [backup-simplify]: Simplify 1.0 into 1.0 1.387 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.388 * [taylor]: Taking taylor expansion of x in x 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 1 into 1 1.389 * [backup-simplify]: Simplify (/ 1 1) into 1 1.389 * [backup-simplify]: Simplify (- 1) into -1 1.390 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.390 * [backup-simplify]: Simplify (sqrt 0) into 0 1.391 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.392 * [backup-simplify]: Simplify (* 0 0) into 0 1.392 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.394 * [backup-simplify]: Simplify (- 0) into 0 1.395 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.399 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 1.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.401 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.402 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.407 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 1.413 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 0))) into (- +nan.0) 1.414 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.415 * [backup-simplify]: Simplify (- 0) into 0 1.416 * [backup-simplify]: Simplify (+ 0 0) into 0 1.423 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.424 * [backup-simplify]: Simplify (+ 0 0) into 0 1.425 * [backup-simplify]: Simplify (- 0) into 0 1.430 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (sqrt 1.0) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.441 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.443 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.443 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.444 * [backup-simplify]: Simplify (- 0) into 0 1.444 * [backup-simplify]: Simplify (+ 0 0) into 0 1.455 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (- (sqrt 1.0) +nan.0)) 2) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 1.456 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.457 * [backup-simplify]: Simplify (+ 0 0) into 0 1.457 * [backup-simplify]: Simplify (- 0) into 0 1.474 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 2) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 1.509 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0)))))) (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 1.517 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 1.530 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow x 2)))))))))))))) 1.531 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.532 * [backup-simplify]: Simplify (+ x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) into (+ x (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))))) 1.532 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))))) in (x) around 0 1.532 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))))) in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.532 * [backup-simplify]: Simplify 0 into 0 1.532 * [backup-simplify]: Simplify 1 into 1 1.532 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) in x 1.532 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))) in x 1.532 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 1.532 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.532 * [taylor]: Taking taylor expansion of 1.0 in x 1.532 * [backup-simplify]: Simplify 1.0 into 1.0 1.533 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.533 * [taylor]: Taking taylor expansion of x in x 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 1 into 1 1.533 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.533 * [taylor]: Taking taylor expansion of x in x 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 1 into 1 1.534 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.534 * [taylor]: Taking taylor expansion of 1.0 in x 1.534 * [backup-simplify]: Simplify 1.0 into 1.0 1.534 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.536 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.537 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.538 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.540 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 1.543 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.543 * [backup-simplify]: Simplify (- 0) into 0 1.544 * [backup-simplify]: Simplify (+ 1 0) into 1 1.544 * [backup-simplify]: Simplify (+ 0 1) into 1 1.547 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 1.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 1.549 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))))) in x 1.549 * [taylor]: Taking taylor expansion of x in x 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 1 into 1 1.549 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) x) (- x (sqrt 1.0)))) in x 1.549 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))) in x 1.549 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 1.549 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.549 * [taylor]: Taking taylor expansion of 1.0 in x 1.549 * [backup-simplify]: Simplify 1.0 into 1.0 1.549 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.550 * [taylor]: Taking taylor expansion of x in x 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 1 into 1 1.550 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 1.550 * [taylor]: Taking taylor expansion of x in x 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 1 into 1 1.550 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.550 * [taylor]: Taking taylor expansion of 1.0 in x 1.550 * [backup-simplify]: Simplify 1.0 into 1.0 1.551 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.552 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.553 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.555 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.556 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 1.559 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.559 * [backup-simplify]: Simplify (- 0) into 0 1.560 * [backup-simplify]: Simplify (+ 1 0) into 1 1.560 * [backup-simplify]: Simplify (+ 0 1) into 1 1.563 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 1.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 1.571 * [backup-simplify]: Simplify (+ 0 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.574 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 1.574 * [backup-simplify]: Simplify (+ 1 0) into 1 1.575 * [backup-simplify]: Simplify 1 into 1 1.576 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.576 * [backup-simplify]: Simplify (- 0) into 0 1.577 * [backup-simplify]: Simplify (+ 0 0) into 0 1.578 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.578 * [backup-simplify]: Simplify (+ 0 0) into 0 1.580 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 1.586 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 1.591 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) 1.597 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 1.603 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) (pow x 2)) (+ (* 1 x) (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (+ (sqrt (* -1 (pow (sqrt 1.0) 2))) (+ x (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))))) 1.605 * [backup-simplify]: Simplify (+ (/ 1 x) (* (sqrt (+ (sqrt 1.0) (/ 1 x))) (sqrt (- (/ 1 x) (sqrt 1.0))))) into (+ (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) (/ 1 x)) 1.605 * [approximate]: Taking taylor expansion of (+ (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) (/ 1 x)) in (x) around 0 1.605 * [taylor]: Taking taylor expansion of (+ (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) (/ 1 x)) in x 1.605 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) in x 1.605 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0))) in x 1.605 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.605 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.605 * [taylor]: Taking taylor expansion of 1.0 in x 1.605 * [backup-simplify]: Simplify 1.0 into 1.0 1.605 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.606 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.606 * [taylor]: Taking taylor expansion of x in x 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.607 * [backup-simplify]: Simplify (/ 1 1) into 1 1.607 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.607 * [taylor]: Taking taylor expansion of x in x 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 1 into 1 1.607 * [backup-simplify]: Simplify (/ 1 1) into 1 1.607 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.607 * [taylor]: Taking taylor expansion of 1.0 in x 1.607 * [backup-simplify]: Simplify 1.0 into 1.0 1.608 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.609 * [backup-simplify]: Simplify (+ 0 1) into 1 1.609 * [backup-simplify]: Simplify (+ 1 0) into 1 1.610 * [backup-simplify]: Simplify (* 1 1) into 1 1.610 * [backup-simplify]: Simplify (sqrt 1) into 1 1.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.612 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.613 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.615 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.618 * [backup-simplify]: Simplify (+ (* 1 (- (sqrt 1.0))) (* (sqrt 1.0) 1)) into 0 1.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.619 * [taylor]: Taking taylor expansion of x in x 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify (/ 1 1) into 1 1.619 * [taylor]: Taking taylor expansion of (+ (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) (/ 1 x)) in x 1.619 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0)))) in x 1.619 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (/ 1 x)) (- (/ 1 x) (sqrt 1.0))) in x 1.619 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.619 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.619 * [taylor]: Taking taylor expansion of 1.0 in x 1.619 * [backup-simplify]: Simplify 1.0 into 1.0 1.620 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.620 * [taylor]: Taking taylor expansion of x in x 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify 1 into 1 1.621 * [backup-simplify]: Simplify (/ 1 1) into 1 1.621 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 1.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.621 * [taylor]: Taking taylor expansion of x in x 1.621 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify 1 into 1 1.621 * [backup-simplify]: Simplify (/ 1 1) into 1 1.621 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.621 * [taylor]: Taking taylor expansion of 1.0 in x 1.621 * [backup-simplify]: Simplify 1.0 into 1.0 1.622 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.623 * [backup-simplify]: Simplify (+ 0 1) into 1 1.623 * [backup-simplify]: Simplify (+ 1 0) into 1 1.624 * [backup-simplify]: Simplify (* 1 1) into 1 1.624 * [backup-simplify]: Simplify (sqrt 1) into 1 1.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.626 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.627 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 1.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.629 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.632 * [backup-simplify]: Simplify (+ (* 1 (- (sqrt 1.0))) (* (sqrt 1.0) 1)) into 0 1.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.632 * [taylor]: Taking taylor expansion of x in x 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (/ 1 1) into 1 1.633 * [backup-simplify]: Simplify (+ 1 1) into 2 1.633 * [backup-simplify]: Simplify 2 into 2 1.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.634 * [backup-simplify]: Simplify (+ 0 0) into 0 1.634 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.635 * [backup-simplify]: Simplify (- 0) into 0 1.636 * [backup-simplify]: Simplify (+ 0 0) into 0 1.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.637 * [backup-simplify]: Simplify (+ 0 0) into 0 1.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) (- (sqrt 1.0))) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 1.647 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 1.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify (+ (* -1/2 (pow (sqrt 1.0) 2)) 0) into (- (* 1/2 (pow (sqrt 1.0) 2))) 1.653 * [backup-simplify]: Simplify (- (* 1/2 (pow (sqrt 1.0) 2))) into (- (* 1/2 (pow (sqrt 1.0) 2))) 1.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.655 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.655 * [backup-simplify]: Simplify (- 0) into 0 1.655 * [backup-simplify]: Simplify (+ 0 0) into 0 1.656 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (+ 0 0) into 0 1.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 (- (sqrt 1.0))) (* 0 1)))) into 0 1.659 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 1.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.659 * [backup-simplify]: Simplify (+ 0 0) into 0 1.659 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.661 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.661 * [backup-simplify]: Simplify (- 0) into 0 1.661 * [backup-simplify]: Simplify (+ 0 0) into 0 1.662 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 1.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.663 * [backup-simplify]: Simplify (+ 0 0) into 0 1.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (sqrt 1.0) 0) (+ (* 0 0) (+ (* 0 (- (sqrt 1.0))) (* 0 1))))) into 0 1.668 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1/2 (pow (sqrt 1.0) 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/8 (pow (sqrt 1.0) 4)) 1.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.670 * [backup-simplify]: Simplify (+ (* -1/8 (pow (sqrt 1.0) 4)) 0) into (- (* 1/8 (pow (sqrt 1.0) 4))) 1.672 * [backup-simplify]: Simplify (- (* 1/8 (pow (sqrt 1.0) 4))) into (- (* 1/8 (pow (sqrt 1.0) 4))) 1.675 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (pow (sqrt 1.0) 4))) (pow (/ 1 x) 3)) (+ (* (- (* 1/2 (pow (sqrt 1.0) 2))) (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 1.676 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* (sqrt (+ (sqrt 1.0) (/ 1 (- x)))) (sqrt (- (/ 1 (- x)) (sqrt 1.0))))) into (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) 1.676 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 1.676 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.676 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.676 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.676 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.676 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.676 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.676 * [taylor]: Taking taylor expansion of 1.0 in x 1.676 * [backup-simplify]: Simplify 1.0 into 1.0 1.676 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.676 * [taylor]: Taking taylor expansion of x in x 1.676 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify (/ 1 1) into 1 1.677 * [backup-simplify]: Simplify (+ 0 1) into 1 1.677 * [backup-simplify]: Simplify (- 1) into -1 1.677 * [backup-simplify]: Simplify (sqrt 0) into 0 1.678 * [backup-simplify]: Simplify (- 1) into -1 1.679 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.679 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.679 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.679 * [taylor]: Taking taylor expansion of (sqrt 1.0) 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 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 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 (- 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 (/ 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 1.682 * [backup-simplify]: Simplify (/ 1 1) into 1 1.682 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 1.682 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 1.682 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 1.682 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 1.682 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 1.682 * [taylor]: Taking taylor expansion of (sqrt 1.0) 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 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 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 (- 1) into -1 1.683 * [backup-simplify]: Simplify (sqrt 0) into 0 1.684 * [backup-simplify]: Simplify (- 1) into -1 1.684 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.685 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 1.685 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 1.685 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.685 * [taylor]: Taking taylor expansion of 1.0 in x 1.685 * [backup-simplify]: Simplify 1.0 into 1.0 1.685 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.685 * [taylor]: Taking taylor expansion of x in x 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify 1 into 1 1.686 * [backup-simplify]: Simplify (/ 1 1) into 1 1.686 * [backup-simplify]: Simplify (- 1) into -1 1.686 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.686 * [backup-simplify]: Simplify (sqrt 0) into 0 1.690 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.690 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.690 * [taylor]: Taking taylor expansion of x in x 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.691 * [backup-simplify]: Simplify (/ 1 1) into 1 1.691 * [backup-simplify]: Simplify (* 0 0) into 0 1.692 * [backup-simplify]: Simplify (+ 0 0) into 0 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 1.693 * [backup-simplify]: Simplify (- 1) into -1 1.693 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.693 * [backup-simplify]: Simplify -1 into -1 1.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.694 * [backup-simplify]: Simplify (- 0) into 0 1.695 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.699 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 1.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.701 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.701 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 1.706 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 1.711 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 0))) into (- +nan.0) 1.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.712 * [backup-simplify]: Simplify (- 0) into 0 1.713 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 1.714 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.715 * [backup-simplify]: Simplify (- 0) into 0 1.715 * [backup-simplify]: Simplify (+ 0 0) into 0 1.723 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.724 * [backup-simplify]: Simplify (+ 0 0) into 0 1.725 * [backup-simplify]: Simplify (- 0) into 0 1.734 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (sqrt 1.0) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.748 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.750 * [backup-simplify]: Simplify (- 0) into 0 1.754 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.757 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 1.760 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (/ 1 (- x))) (+ (- +nan.0) (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ (sqrt 1.0) x))))))) 1.760 * * * [progress]: simplifying candidates 1.762 * [simplify]: Simplifying: (expm1 (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (log1p (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))) (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))) (+ (log (sqrt (+ (sqrt 1.0) x))) (log (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (sqrt 1.0) x))) (sqrt (+ (sqrt 1.0) x))) (* (* (sqrt (- x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))))) (* (cbrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (* (+ (sqrt 1.0) x) (- x (sqrt 1.0))) (sqrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x)))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (+ (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (* (sqrt 1.0) (sqrt 1.0)) (- (* x x) (* (sqrt 1.0) x)))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (sqrt 1.0) x)) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (* (cbrt (- x (sqrt 1.0))) (cbrt (- x (sqrt 1.0)))))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt 1)) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt 1)) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (sqrt 1.0) x)) 1) (* (cbrt (sqrt (+ (sqrt 1.0) x))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ (sqrt 1.0) x))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ (sqrt 1.0) x))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (pow (sqrt 1.0) 3) (pow x 3))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- (* (sqrt 1.0) (sqrt 1.0)) (* x x))) (sqrt (- x (sqrt 1.0)))) (expm1 (+ x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))))) (log1p (+ x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))))) (* (exp x) (exp (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))))) (exp (+ x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))))) (* (cbrt (+ x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))))) (cbrt (+ x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))))) (* (* (+ x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (+ x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))))) (+ x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))))) (+ (pow x 3) (pow (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))) 3)) (+ (* x x) (- (* (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))))) (- (* x x) (* (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0)))))) (- x (* (sqrt (+ (sqrt 1.0) x)) (sqrt (- x (sqrt 1.0))))) (- (+ (sqrt (* -1 (pow (sqrt 1.0) 2))) (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2)))))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 (pow x 2)))))))))))))) (+ (sqrt (* -1 (pow (sqrt 1.0) 2))) (+ x (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))))) (- (* 2 x) (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- x (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ (sqrt 1.0) x))))))) 1.765 * * [simplify]: iteration 0: 163 enodes 1.804 * * [simplify]: iteration 1: 402 enodes 2.055 * * [simplify]: iteration 2: 1604 enodes 2.895 * * [simplify]: iteration complete: 5000 enodes 2.895 * * [simplify]: Extracting #0: cost 49 inf + 0 2.897 * * [simplify]: Extracting #1: cost 364 inf + 0 2.903 * * [simplify]: Extracting #2: cost 948 inf + 109 2.913 * * [simplify]: Extracting #3: cost 1310 inf + 2190 2.925 * * [simplify]: Extracting #4: cost 669 inf + 7965 2.938 * * [simplify]: Extracting #5: cost 74 inf + 13818 2.950 * * [simplify]: Extracting #6: cost 4 inf + 14503 2.968 * * [simplify]: Extracting #7: cost 0 inf + 14524 2.980 * [simplify]: Simplified to: (expm1 (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log1p (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (fma x x (- 1.0)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (fma x x (- 1.0)) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3) (fma x x (- 1.0)) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (fma (sqrt 1.0) (- 1.0) (pow x 3))) (sqrt (fma (sqrt 1.0) 1.0 (pow x 3)))) (* (sqrt (fma x (sqrt 1.0) (fma x x 1.0))) (sqrt (fma (- x (sqrt 1.0)) x 1.0))) (* (sqrt (fma (sqrt 1.0) 1.0 (pow x 3))) (hypot x (sqrt (- 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (fma (- x (sqrt 1.0)) x 1.0))) (* (sqrt (fma (- x) x 1.0)) (sqrt (fma (sqrt 1.0) (- 1.0) (pow x 3)))) (* (sqrt (- (sqrt 1.0) x)) (sqrt (fma x (sqrt 1.0) (fma x x 1.0)))) (* (hypot x (sqrt (- 1.0))) (sqrt (fma (- x) x 1.0))) (* (sqrt (- (sqrt 1.0) x)) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (sqrt (- x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0))))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (fabs (cbrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt (sqrt 1.0)) (sqrt x)))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0))) (* (sqrt (- x (sqrt 1.0))) (cbrt (sqrt (+ x (sqrt 1.0))))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (fma (sqrt 1.0) (- 1.0) (pow x 3)))) (* (sqrt (+ x (sqrt 1.0))) (hypot x (sqrt (- 1.0)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (fma (sqrt 1.0) 1.0 (pow x 3)))) (* (sqrt (fma (- x) x 1.0)) (sqrt (- x (sqrt 1.0)))) (expm1 (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log1p (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (* (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (pow (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) 3) (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (+ (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3) (pow x 3)) (fma x x (fma x (* (- (sqrt (- x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (fma x x (- 1.0)))) (fma x x (- (fma x x (- 1.0)))) (fma (sqrt (- x (sqrt 1.0))) (- (sqrt (+ x (sqrt 1.0)))) x) (fma (/ (pow x 4) (pow (sqrt (- 1.0)) 3)) -1/8 (fma (/ (* x x) (sqrt (- 1.0))) 1/2 (sqrt (- 1.0)))) (- x (fma 1/8 (/ 1.0 (/ (pow x 3) 1.0)) (* 1/2 (/ 1.0 x)))) (fma (- +nan.0) (/ (sqrt 1.0) x) (+ (- (/ +nan.0 x) (* (/ 1.0 (* x x)) +nan.0)) (- (fma +nan.0 (/ (sqrt 1.0) (* x x)) (/ (/ +nan.0 x) x)) +nan.0))) (fma (/ (* x x) (sqrt (- 1.0))) 1/2 (+ x (sqrt (- 1.0)))) (- (* 2 x) (fma 1/8 (/ 1.0 (/ (pow x 3) 1.0)) (* 1/2 (/ 1.0 x)))) (- x (- +nan.0 (fma (/ (sqrt 1.0) x) (- +nan.0) (/ +nan.0 x)))) 2.981 * * * [progress]: adding candidates to table 3.278 * * [progress]: iteration 3 / 4 3.278 * * * [progress]: picking best candidate 3.282 * * * * [pick]: Picked # 3.282 * * * [progress]: localizing error 3.302 * * * [progress]: generating rewritten candidates 3.302 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 3.305 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1 1) 3.305 * * * [progress]: generating series expansions 3.305 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 3.306 * [backup-simplify]: Simplify (exp (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) into (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x)) x) 3.306 * [approximate]: Taking taylor expansion of (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x)) x) in (x) around 0 3.306 * [taylor]: Taking taylor expansion of (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x)) x) in x 3.306 * [taylor]: Rewrote expression to (+ (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x))) x) 3.306 * [taylor]: Taking taylor expansion of (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x))) in x 3.306 * [taylor]: Taking taylor expansion of (sqrt (- x (sqrt 1.0))) in x 3.306 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 3.307 * [taylor]: Taking taylor expansion of x in x 3.307 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify 1 into 1 3.307 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.307 * [taylor]: Taking taylor expansion of 1.0 in x 3.307 * [backup-simplify]: Simplify 1.0 into 1.0 3.307 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.308 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 3.309 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 3.309 * [backup-simplify]: Simplify (sqrt (- (sqrt 1.0))) into (sqrt (- (sqrt 1.0))) 3.310 * [backup-simplify]: Simplify (- 0) into 0 3.310 * [backup-simplify]: Simplify (+ 1 0) into 1 3.312 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (sqrt 1.0))))) into (/ 1/2 (sqrt (- (sqrt 1.0)))) 3.312 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) x)) in x 3.312 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 3.312 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.312 * [taylor]: Taking taylor expansion of 1.0 in x 3.312 * [backup-simplify]: Simplify 1.0 into 1.0 3.312 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.313 * [taylor]: Taking taylor expansion of x in x 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify 1 into 1 3.313 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.314 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 3.314 * [backup-simplify]: Simplify (+ 0 1) into 1 3.315 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 3.315 * [taylor]: Taking taylor expansion of x in x 3.315 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify 1 into 1 3.315 * [taylor]: Taking taylor expansion of (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x)) x) in x 3.316 * [taylor]: Rewrote expression to (+ (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x))) x) 3.316 * [taylor]: Taking taylor expansion of (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x))) in x 3.316 * [taylor]: Taking taylor expansion of (sqrt (- x (sqrt 1.0))) in x 3.316 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 3.316 * [taylor]: Taking taylor expansion of x in x 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 1 into 1 3.316 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.316 * [taylor]: Taking taylor expansion of 1.0 in x 3.316 * [backup-simplify]: Simplify 1.0 into 1.0 3.316 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.317 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 3.318 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 3.319 * [backup-simplify]: Simplify (sqrt (- (sqrt 1.0))) into (sqrt (- (sqrt 1.0))) 3.319 * [backup-simplify]: Simplify (- 0) into 0 3.319 * [backup-simplify]: Simplify (+ 1 0) into 1 3.321 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (sqrt 1.0))))) into (/ 1/2 (sqrt (- (sqrt 1.0)))) 3.321 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) x)) in x 3.321 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 3.321 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.321 * [taylor]: Taking taylor expansion of 1.0 in x 3.322 * [backup-simplify]: Simplify 1.0 into 1.0 3.322 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.322 * [taylor]: Taking taylor expansion of x in x 3.322 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify 1 into 1 3.323 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.323 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 3.324 * [backup-simplify]: Simplify (+ 0 1) into 1 3.325 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 3.325 * [taylor]: Taking taylor expansion of x in x 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify 1 into 1 3.327 * [backup-simplify]: Simplify (* (sqrt (- (sqrt 1.0))) (sqrt (sqrt 1.0))) into (* (sqrt (- (sqrt 1.0))) (sqrt (sqrt 1.0))) 3.329 * [backup-simplify]: Simplify (+ (* (sqrt (- (sqrt 1.0))) (sqrt (sqrt 1.0))) 0) into (* (sqrt (- (sqrt 1.0))) (sqrt (sqrt 1.0))) 3.335 * [backup-simplify]: Simplify (* (sqrt (- (sqrt 1.0))) (sqrt (sqrt 1.0))) into (* (sqrt (- (sqrt 1.0))) (sqrt (sqrt 1.0))) 3.341 * [backup-simplify]: Simplify (+ (* (sqrt (- (sqrt 1.0))) (* 1/2 (sqrt (/ 1 (sqrt 1.0))))) (* (/ 1/2 (sqrt (- (sqrt 1.0)))) (sqrt (sqrt 1.0)))) into (+ (* 1/2 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (sqrt 1.0)))) (* 1/2 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (sqrt 1.0)))))) 3.350 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (sqrt 1.0)))) (* 1/2 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (sqrt 1.0)))))) 1) into (+ (* 1/2 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (sqrt 1.0)))) (+ (* 1/2 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (sqrt 1.0))))) 1)) 3.361 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (sqrt 1.0)))) (+ (* 1/2 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (sqrt 1.0))))) 1)) into (+ (* 1/2 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (sqrt 1.0)))) (+ (* 1/2 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (sqrt 1.0))))) 1)) 3.362 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.363 * [backup-simplify]: Simplify (+ 0 0) into 0 3.371 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 2) (+)) (* 2 (sqrt (sqrt 1.0)))) into (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) 3.372 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.372 * [backup-simplify]: Simplify (- 0) into 0 3.373 * [backup-simplify]: Simplify (+ 0 0) into 0 3.381 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (- (sqrt 1.0)))) 2) (+)) (* 2 (sqrt (- (sqrt 1.0))))) into (/ -1/8 (pow (sqrt (- (sqrt 1.0))) 3)) 3.406 * [backup-simplify]: Simplify (+ (* (sqrt (- (sqrt 1.0))) (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (+ (* (/ 1/2 (sqrt (- (sqrt 1.0)))) (* 1/2 (sqrt (/ 1 (sqrt 1.0))))) (* (/ -1/8 (pow (sqrt (- (sqrt 1.0))) 3)) (sqrt (sqrt 1.0))))) into (- (* 1/4 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (sqrt 1.0))))) (+ (* 1/8 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/8 (* (/ 1 (pow (sqrt (- (sqrt 1.0))) 3)) (sqrt (sqrt 1.0)))))) 3.436 * [backup-simplify]: Simplify (+ (- (* 1/4 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (sqrt 1.0))))) (+ (* 1/8 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/8 (* (/ 1 (pow (sqrt (- (sqrt 1.0))) 3)) (sqrt (sqrt 1.0)))))) 0) into (- (* 1/4 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (sqrt 1.0))))) (+ (* 1/8 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/8 (* (/ 1 (pow (sqrt (- (sqrt 1.0))) 3)) (sqrt (sqrt 1.0)))))) 3.466 * [backup-simplify]: Simplify (- (* 1/4 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (sqrt 1.0))))) (+ (* 1/8 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/8 (* (/ 1 (pow (sqrt (- (sqrt 1.0))) 3)) (sqrt (sqrt 1.0)))))) into (- (* 1/4 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (sqrt 1.0))))) (+ (* 1/8 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/8 (* (/ 1 (pow (sqrt (- (sqrt 1.0))) 3)) (sqrt (sqrt 1.0)))))) 3.495 * [backup-simplify]: Simplify (+ (* (- (* 1/4 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (sqrt 1.0))))) (+ (* 1/8 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/8 (* (/ 1 (pow (sqrt (- (sqrt 1.0))) 3)) (sqrt (sqrt 1.0)))))) (pow x 2)) (+ (* (+ (* 1/2 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (sqrt 1.0)))) (+ (* 1/2 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (sqrt 1.0))))) 1)) x) (* (sqrt (- (sqrt 1.0))) (sqrt (sqrt 1.0))))) into (- (+ (* 1/4 (* (/ (pow x 2) (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (sqrt 1.0))))) (+ x (+ (* (sqrt (- (sqrt 1.0))) (sqrt (sqrt 1.0))) (+ (* 1/2 (* (/ x (sqrt (- (sqrt 1.0)))) (sqrt (sqrt 1.0)))) (* 1/2 (* (* (sqrt (- (sqrt 1.0))) x) (sqrt (/ 1 (sqrt 1.0))))))))) (+ (* 1/8 (* (* (sqrt (- (sqrt 1.0))) (pow x 2)) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/8 (* (/ (pow x 2) (pow (sqrt (- (sqrt 1.0))) 3)) (sqrt (sqrt 1.0)))))) 3.495 * [backup-simplify]: Simplify (exp (log (fma (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (/ 1 x) (sqrt 1.0))) (/ 1 x)))) into (fma (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x))) (/ 1 x)) 3.495 * [approximate]: Taking taylor expansion of (fma (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x))) (/ 1 x)) in (x) around 0 3.495 * [taylor]: Taking taylor expansion of (fma (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x))) (/ 1 x)) in x 3.495 * [taylor]: Rewrote expression to (+ (* (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) 3.496 * [taylor]: Taking taylor expansion of (* (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x)))) in x 3.496 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) (sqrt 1.0))) in x 3.496 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 3.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.496 * [taylor]: Taking taylor expansion of x in x 3.496 * [backup-simplify]: Simplify 0 into 0 3.496 * [backup-simplify]: Simplify 1 into 1 3.496 * [backup-simplify]: Simplify (/ 1 1) into 1 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 * [backup-simplify]: Simplify (+ 1 0) 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 (+ (sqrt 1.0) (/ 1 x))) in x 3.498 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.498 * [taylor]: Taking taylor expansion of (sqrt 1.0) 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 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.499 * [taylor]: Taking taylor expansion of x in x 3.499 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify 1 into 1 3.499 * [backup-simplify]: Simplify (/ 1 1) into 1 3.499 * [backup-simplify]: Simplify (+ 0 1) into 1 3.500 * [backup-simplify]: Simplify (sqrt 0) into 0 3.500 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.500 * [taylor]: Taking taylor expansion of x in x 3.500 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify 1 into 1 3.501 * [backup-simplify]: Simplify (/ 1 1) into 1 3.501 * [taylor]: Taking taylor expansion of (fma (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x))) (/ 1 x)) in x 3.501 * [taylor]: Rewrote expression to (+ (* (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) 3.501 * [taylor]: Taking taylor expansion of (* (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x)))) in x 3.501 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) (sqrt 1.0))) in x 3.501 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 3.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.501 * [taylor]: Taking taylor expansion of x in x 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify 1 into 1 3.501 * [backup-simplify]: Simplify (/ 1 1) into 1 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 3.502 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.503 * [backup-simplify]: Simplify (+ 1 0) into 1 3.503 * [backup-simplify]: Simplify (sqrt 0) into 0 3.504 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.504 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 3.504 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.504 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.504 * [taylor]: Taking taylor expansion of 1.0 in x 3.504 * [backup-simplify]: Simplify 1.0 into 1.0 3.504 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.504 * [taylor]: Taking taylor expansion of x in x 3.504 * [backup-simplify]: Simplify 0 into 0 3.504 * [backup-simplify]: Simplify 1 into 1 3.505 * [backup-simplify]: Simplify (/ 1 1) into 1 3.505 * [backup-simplify]: Simplify (+ 0 1) into 1 3.505 * [backup-simplify]: Simplify (sqrt 0) into 0 3.506 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.506 * [taylor]: Taking taylor expansion of x in x 3.506 * [backup-simplify]: Simplify 0 into 0 3.506 * [backup-simplify]: Simplify 1 into 1 3.506 * [backup-simplify]: Simplify (/ 1 1) into 1 3.507 * [backup-simplify]: Simplify (* 0 0) into 0 3.507 * [backup-simplify]: Simplify (+ 0 0) into 0 3.507 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 3.508 * [backup-simplify]: Simplify (+ 0 1) into 1 3.508 * [backup-simplify]: Simplify 1 into 1 3.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.510 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.514 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 3.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.516 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 3.517 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 3.521 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 3.526 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 0))) into (- +nan.0) 3.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.527 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 3.528 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.529 * [backup-simplify]: Simplify (+ 0 0) into 0 3.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.538 * [backup-simplify]: Simplify (- 0) into 0 3.539 * [backup-simplify]: Simplify (+ 0 0) into 0 3.545 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (sqrt 1.0) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3.554 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.557 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3.560 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3.562 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (/ 1 x)) (+ (- +nan.0) (* 1 (/ 1 (/ 1 x))))) into (- x (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ (sqrt 1.0) x))))))) 3.563 * [backup-simplify]: Simplify (exp (log (fma (sqrt (- (/ 1 (- x)) (sqrt 1.0))) (sqrt (+ (/ 1 (- x)) (sqrt 1.0))) (/ 1 (- x))))) into (fma (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x))) (/ -1 x)) 3.563 * [approximate]: Taking taylor expansion of (fma (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x))) (/ -1 x)) in (x) around 0 3.563 * [taylor]: Taking taylor expansion of (fma (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x))) (/ -1 x)) in x 3.563 * [taylor]: Rewrote expression to (+ (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ -1 x)) 3.563 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 3.563 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 3.563 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 3.563 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.563 * [taylor]: Taking taylor expansion of (sqrt 1.0) 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 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.564 * [taylor]: Taking taylor expansion of x in x 3.564 * [backup-simplify]: Simplify 0 into 0 3.564 * [backup-simplify]: Simplify 1 into 1 3.564 * [backup-simplify]: Simplify (/ 1 1) into 1 3.564 * [backup-simplify]: Simplify (+ 0 1) into 1 3.564 * [backup-simplify]: Simplify (- 1) into -1 3.565 * [backup-simplify]: Simplify (sqrt 0) into 0 3.565 * [backup-simplify]: Simplify (- 1) into -1 3.566 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.566 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 3.566 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 3.566 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.566 * [taylor]: Taking taylor expansion of 1.0 in x 3.566 * [backup-simplify]: Simplify 1.0 into 1.0 3.566 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.567 * [taylor]: Taking taylor expansion of x in x 3.567 * [backup-simplify]: Simplify 0 into 0 3.567 * [backup-simplify]: Simplify 1 into 1 3.567 * [backup-simplify]: Simplify (/ 1 1) into 1 3.567 * [backup-simplify]: Simplify (- 1) into -1 3.567 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.568 * [backup-simplify]: Simplify (sqrt 0) into 0 3.568 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.568 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.568 * [taylor]: Taking taylor expansion of -1 in x 3.568 * [backup-simplify]: Simplify -1 into -1 3.568 * [taylor]: Taking taylor expansion of x in x 3.568 * [backup-simplify]: Simplify 0 into 0 3.568 * [backup-simplify]: Simplify 1 into 1 3.569 * [backup-simplify]: Simplify (/ -1 1) into -1 3.569 * [taylor]: Taking taylor expansion of (fma (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x))) (/ -1 x)) in x 3.569 * [taylor]: Rewrote expression to (+ (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ -1 x)) 3.569 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 3.569 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 3.569 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 3.569 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.569 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.569 * [taylor]: Taking taylor expansion of 1.0 in x 3.569 * [backup-simplify]: Simplify 1.0 into 1.0 3.569 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.570 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.570 * [taylor]: Taking taylor expansion of x in x 3.570 * [backup-simplify]: Simplify 0 into 0 3.570 * [backup-simplify]: Simplify 1 into 1 3.570 * [backup-simplify]: Simplify (/ 1 1) into 1 3.570 * [backup-simplify]: Simplify (+ 0 1) into 1 3.571 * [backup-simplify]: Simplify (- 1) into -1 3.571 * [backup-simplify]: Simplify (sqrt 0) into 0 3.571 * [backup-simplify]: Simplify (- 1) into -1 3.572 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.572 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 3.572 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 3.572 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.572 * [taylor]: Taking taylor expansion of 1.0 in x 3.572 * [backup-simplify]: Simplify 1.0 into 1.0 3.572 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.573 * [taylor]: Taking taylor expansion of x in x 3.573 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify 1 into 1 3.573 * [backup-simplify]: Simplify (/ 1 1) into 1 3.573 * [backup-simplify]: Simplify (- 1) into -1 3.573 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.574 * [backup-simplify]: Simplify (sqrt 0) into 0 3.575 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.575 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.575 * [taylor]: Taking taylor expansion of -1 in x 3.575 * [backup-simplify]: Simplify -1 into -1 3.575 * [taylor]: Taking taylor expansion of x in x 3.575 * [backup-simplify]: Simplify 0 into 0 3.575 * [backup-simplify]: Simplify 1 into 1 3.575 * [backup-simplify]: Simplify (/ -1 1) into -1 3.575 * [backup-simplify]: Simplify (* 0 0) into 0 3.576 * [backup-simplify]: Simplify (+ 0 0) into 0 3.576 * [backup-simplify]: Simplify 0 into 0 3.577 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 3.577 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.577 * [backup-simplify]: Simplify -1 into -1 3.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.578 * [backup-simplify]: Simplify (- 0) into 0 3.579 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.583 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 3.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.584 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.585 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 3.590 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 3.595 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 0))) into (- +nan.0) 3.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.597 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 3.597 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.598 * [backup-simplify]: Simplify (- 0) into 0 3.599 * [backup-simplify]: Simplify (+ 0 0) into 0 3.607 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.608 * [backup-simplify]: Simplify (+ 0 0) into 0 3.609 * [backup-simplify]: Simplify (- 0) into 0 3.618 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (sqrt 1.0) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3.633 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.638 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3.641 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3.645 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (/ 1 (- x))) (+ (- +nan.0) (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ (sqrt 1.0) x))))))) 3.645 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1 1) 3.646 * [backup-simplify]: Simplify (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) into (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x)) x) 3.646 * [approximate]: Taking taylor expansion of (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x)) x) in (x) around 0 3.646 * [taylor]: Taking taylor expansion of (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x)) x) in x 3.646 * [taylor]: Rewrote expression to (+ (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x))) x) 3.646 * [taylor]: Taking taylor expansion of (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x))) in x 3.646 * [taylor]: Taking taylor expansion of (sqrt (- x (sqrt 1.0))) in x 3.646 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 3.646 * [taylor]: Taking taylor expansion of x in x 3.646 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify 1 into 1 3.646 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.646 * [taylor]: Taking taylor expansion of 1.0 in x 3.646 * [backup-simplify]: Simplify 1.0 into 1.0 3.647 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.648 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 3.650 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 3.651 * [backup-simplify]: Simplify (sqrt (- (sqrt 1.0))) into (sqrt (- (sqrt 1.0))) 3.651 * [backup-simplify]: Simplify (- 0) into 0 3.652 * [backup-simplify]: Simplify (+ 1 0) into 1 3.655 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (sqrt 1.0))))) into (/ 1/2 (sqrt (- (sqrt 1.0)))) 3.655 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) x)) in x 3.655 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 3.655 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.655 * [taylor]: Taking taylor expansion of 1.0 in x 3.655 * [backup-simplify]: Simplify 1.0 into 1.0 3.656 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.656 * [taylor]: Taking taylor expansion of x in x 3.656 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify 1 into 1 3.657 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.658 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 3.659 * [backup-simplify]: Simplify (+ 0 1) into 1 3.661 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 3.661 * [taylor]: Taking taylor expansion of x in x 3.661 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify 1 into 1 3.661 * [taylor]: Taking taylor expansion of (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x)) x) in x 3.661 * [taylor]: Rewrote expression to (+ (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x))) x) 3.661 * [taylor]: Taking taylor expansion of (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (sqrt 1.0) x))) in x 3.661 * [taylor]: Taking taylor expansion of (sqrt (- x (sqrt 1.0))) in x 3.661 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 3.661 * [taylor]: Taking taylor expansion of x in x 3.661 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify 1 into 1 3.661 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.661 * [taylor]: Taking taylor expansion of 1.0 in x 3.661 * [backup-simplify]: Simplify 1.0 into 1.0 3.662 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.663 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 3.665 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 3.666 * [backup-simplify]: Simplify (sqrt (- (sqrt 1.0))) into (sqrt (- (sqrt 1.0))) 3.666 * [backup-simplify]: Simplify (- 0) into 0 3.667 * [backup-simplify]: Simplify (+ 1 0) into 1 3.670 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (- (sqrt 1.0))))) into (/ 1/2 (sqrt (- (sqrt 1.0)))) 3.670 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) x)) in x 3.670 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) x) in x 3.670 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.670 * [taylor]: Taking taylor expansion of 1.0 in x 3.670 * [backup-simplify]: Simplify 1.0 into 1.0 3.670 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.671 * [taylor]: Taking taylor expansion of x in x 3.671 * [backup-simplify]: Simplify 0 into 0 3.671 * [backup-simplify]: Simplify 1 into 1 3.672 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.673 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 3.673 * [backup-simplify]: Simplify (+ 0 1) into 1 3.676 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 3.676 * [taylor]: Taking taylor expansion of x in x 3.676 * [backup-simplify]: Simplify 0 into 0 3.676 * [backup-simplify]: Simplify 1 into 1 3.679 * [backup-simplify]: Simplify (* (sqrt (- (sqrt 1.0))) (sqrt (sqrt 1.0))) into (* (sqrt (- (sqrt 1.0))) (sqrt (sqrt 1.0))) 3.683 * [backup-simplify]: Simplify (+ (* (sqrt (- (sqrt 1.0))) (sqrt (sqrt 1.0))) 0) into (* (sqrt (- (sqrt 1.0))) (sqrt (sqrt 1.0))) 3.686 * [backup-simplify]: Simplify (* (sqrt (- (sqrt 1.0))) (sqrt (sqrt 1.0))) into (* (sqrt (- (sqrt 1.0))) (sqrt (sqrt 1.0))) 3.698 * [backup-simplify]: Simplify (+ (* (sqrt (- (sqrt 1.0))) (* 1/2 (sqrt (/ 1 (sqrt 1.0))))) (* (/ 1/2 (sqrt (- (sqrt 1.0)))) (sqrt (sqrt 1.0)))) into (+ (* 1/2 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (sqrt 1.0)))) (* 1/2 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (sqrt 1.0)))))) 3.711 * [backup-simplify]: Simplify (+ (+ (* 1/2 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (sqrt 1.0)))) (* 1/2 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (sqrt 1.0)))))) 1) into (+ (* 1/2 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (sqrt 1.0)))) (+ (* 1/2 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (sqrt 1.0))))) 1)) 3.719 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (sqrt 1.0)))) (+ (* 1/2 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (sqrt 1.0))))) 1)) into (+ (* 1/2 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (sqrt 1.0)))) (+ (* 1/2 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (sqrt 1.0))))) 1)) 3.719 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.720 * [backup-simplify]: Simplify (+ 0 0) into 0 3.725 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 2) (+)) (* 2 (sqrt (sqrt 1.0)))) into (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) 3.725 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 3.726 * [backup-simplify]: Simplify (- 0) into 0 3.726 * [backup-simplify]: Simplify (+ 0 0) into 0 3.731 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (- (sqrt 1.0)))) 2) (+)) (* 2 (sqrt (- (sqrt 1.0))))) into (/ -1/8 (pow (sqrt (- (sqrt 1.0))) 3)) 3.749 * [backup-simplify]: Simplify (+ (* (sqrt (- (sqrt 1.0))) (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (+ (* (/ 1/2 (sqrt (- (sqrt 1.0)))) (* 1/2 (sqrt (/ 1 (sqrt 1.0))))) (* (/ -1/8 (pow (sqrt (- (sqrt 1.0))) 3)) (sqrt (sqrt 1.0))))) into (- (* 1/4 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (sqrt 1.0))))) (+ (* 1/8 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/8 (* (/ 1 (pow (sqrt (- (sqrt 1.0))) 3)) (sqrt (sqrt 1.0)))))) 3.783 * [backup-simplify]: Simplify (+ (- (* 1/4 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (sqrt 1.0))))) (+ (* 1/8 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/8 (* (/ 1 (pow (sqrt (- (sqrt 1.0))) 3)) (sqrt (sqrt 1.0)))))) 0) into (- (* 1/4 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (sqrt 1.0))))) (+ (* 1/8 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/8 (* (/ 1 (pow (sqrt (- (sqrt 1.0))) 3)) (sqrt (sqrt 1.0)))))) 3.811 * [backup-simplify]: Simplify (- (* 1/4 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (sqrt 1.0))))) (+ (* 1/8 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/8 (* (/ 1 (pow (sqrt (- (sqrt 1.0))) 3)) (sqrt (sqrt 1.0)))))) into (- (* 1/4 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (sqrt 1.0))))) (+ (* 1/8 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/8 (* (/ 1 (pow (sqrt (- (sqrt 1.0))) 3)) (sqrt (sqrt 1.0)))))) 3.857 * [backup-simplify]: Simplify (+ (* (- (* 1/4 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (sqrt 1.0))))) (+ (* 1/8 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/8 (* (/ 1 (pow (sqrt (- (sqrt 1.0))) 3)) (sqrt (sqrt 1.0)))))) (pow x 2)) (+ (* (+ (* 1/2 (* (/ 1 (sqrt (- (sqrt 1.0)))) (sqrt (sqrt 1.0)))) (+ (* 1/2 (* (sqrt (- (sqrt 1.0))) (sqrt (/ 1 (sqrt 1.0))))) 1)) x) (* (sqrt (- (sqrt 1.0))) (sqrt (sqrt 1.0))))) into (- (+ (* 1/4 (* (/ (pow x 2) (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (sqrt 1.0))))) (+ x (+ (* (sqrt (- (sqrt 1.0))) (sqrt (sqrt 1.0))) (+ (* 1/2 (* (/ x (sqrt (- (sqrt 1.0)))) (sqrt (sqrt 1.0)))) (* 1/2 (* (* (sqrt (- (sqrt 1.0))) x) (sqrt (/ 1 (sqrt 1.0))))))))) (+ (* 1/8 (* (* (sqrt (- (sqrt 1.0))) (pow x 2)) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/8 (* (/ (pow x 2) (pow (sqrt (- (sqrt 1.0))) 3)) (sqrt (sqrt 1.0)))))) 3.858 * [backup-simplify]: Simplify (fma (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (/ 1 x) (sqrt 1.0))) (/ 1 x)) into (fma (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x))) (/ 1 x)) 3.858 * [approximate]: Taking taylor expansion of (fma (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x))) (/ 1 x)) in (x) around 0 3.858 * [taylor]: Taking taylor expansion of (fma (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x))) (/ 1 x)) in x 3.858 * [taylor]: Rewrote expression to (+ (* (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) 3.858 * [taylor]: Taking taylor expansion of (* (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x)))) in x 3.858 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) (sqrt 1.0))) in x 3.858 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 3.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.858 * [taylor]: Taking taylor expansion of x in x 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify 1 into 1 3.859 * [backup-simplify]: Simplify (/ 1 1) into 1 3.859 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.859 * [taylor]: Taking taylor expansion of 1.0 in x 3.859 * [backup-simplify]: Simplify 1.0 into 1.0 3.859 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.861 * [backup-simplify]: Simplify (+ 1 0) into 1 3.861 * [backup-simplify]: Simplify (sqrt 0) into 0 3.862 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.862 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 3.862 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.863 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.863 * [taylor]: Taking taylor expansion of 1.0 in x 3.863 * [backup-simplify]: Simplify 1.0 into 1.0 3.863 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.864 * [taylor]: Taking taylor expansion of x in x 3.864 * [backup-simplify]: Simplify 0 into 0 3.864 * [backup-simplify]: Simplify 1 into 1 3.864 * [backup-simplify]: Simplify (/ 1 1) into 1 3.865 * [backup-simplify]: Simplify (+ 0 1) into 1 3.865 * [backup-simplify]: Simplify (sqrt 0) into 0 3.866 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.866 * [taylor]: Taking taylor expansion of x in x 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify 1 into 1 3.867 * [backup-simplify]: Simplify (/ 1 1) into 1 3.867 * [taylor]: Taking taylor expansion of (fma (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x))) (/ 1 x)) in x 3.867 * [taylor]: Rewrote expression to (+ (* (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) 3.867 * [taylor]: Taking taylor expansion of (* (sqrt (- (/ 1 x) (sqrt 1.0))) (sqrt (+ (sqrt 1.0) (/ 1 x)))) in x 3.867 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 x) (sqrt 1.0))) in x 3.867 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 3.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.867 * [taylor]: Taking taylor expansion of x in x 3.867 * [backup-simplify]: Simplify 0 into 0 3.867 * [backup-simplify]: Simplify 1 into 1 3.868 * [backup-simplify]: Simplify (/ 1 1) into 1 3.868 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.868 * [taylor]: Taking taylor expansion of 1.0 in x 3.868 * [backup-simplify]: Simplify 1.0 into 1.0 3.868 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.869 * [backup-simplify]: Simplify (+ 1 0) into 1 3.870 * [backup-simplify]: Simplify (sqrt 0) into 0 3.871 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.871 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 3.871 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.871 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.871 * [taylor]: Taking taylor expansion of 1.0 in x 3.871 * [backup-simplify]: Simplify 1.0 into 1.0 3.871 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.872 * [taylor]: Taking taylor expansion of x in x 3.872 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify 1 into 1 3.873 * [backup-simplify]: Simplify (/ 1 1) into 1 3.873 * [backup-simplify]: Simplify (+ 0 1) into 1 3.874 * [backup-simplify]: Simplify (sqrt 0) into 0 3.875 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.875 * [taylor]: Taking taylor expansion of x in x 3.875 * [backup-simplify]: Simplify 0 into 0 3.875 * [backup-simplify]: Simplify 1 into 1 3.876 * [backup-simplify]: Simplify (/ 1 1) into 1 3.876 * [backup-simplify]: Simplify (* 0 0) into 0 3.876 * [backup-simplify]: Simplify (+ 0 0) into 0 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 3.878 * [backup-simplify]: Simplify (+ 0 1) into 1 3.878 * [backup-simplify]: Simplify 1 into 1 3.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.879 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.883 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 3.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.885 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 3.886 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 3.891 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 3.896 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 0))) into (- +nan.0) 3.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.898 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 3.898 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.900 * [backup-simplify]: Simplify (+ 0 0) into 0 3.907 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.909 * [backup-simplify]: Simplify (- 0) into 0 3.909 * [backup-simplify]: Simplify (+ 0 0) into 0 3.918 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (sqrt 1.0) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3.932 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.935 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3.936 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3.938 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (/ 1 x)) (+ (- +nan.0) (* 1 (/ 1 (/ 1 x))))) into (- x (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ (sqrt 1.0) x))))))) 3.939 * [backup-simplify]: Simplify (fma (sqrt (- (/ 1 (- x)) (sqrt 1.0))) (sqrt (+ (/ 1 (- x)) (sqrt 1.0))) (/ 1 (- x))) into (fma (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x))) (/ -1 x)) 3.939 * [approximate]: Taking taylor expansion of (fma (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x))) (/ -1 x)) in (x) around 0 3.939 * [taylor]: Taking taylor expansion of (fma (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x))) (/ -1 x)) in x 3.939 * [taylor]: Rewrote expression to (+ (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ -1 x)) 3.939 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 3.939 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 3.939 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 3.939 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.939 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.939 * [taylor]: Taking taylor expansion of 1.0 in x 3.939 * [backup-simplify]: Simplify 1.0 into 1.0 3.941 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.941 * [taylor]: Taking taylor expansion of x in x 3.941 * [backup-simplify]: Simplify 0 into 0 3.941 * [backup-simplify]: Simplify 1 into 1 3.942 * [backup-simplify]: Simplify (/ 1 1) into 1 3.942 * [backup-simplify]: Simplify (+ 0 1) into 1 3.942 * [backup-simplify]: Simplify (- 1) into -1 3.942 * [backup-simplify]: Simplify (sqrt 0) into 0 3.943 * [backup-simplify]: Simplify (- 1) into -1 3.944 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.944 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 3.944 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 3.944 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.944 * [taylor]: Taking taylor expansion of 1.0 in x 3.944 * [backup-simplify]: Simplify 1.0 into 1.0 3.944 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.944 * [taylor]: Taking taylor expansion of x in x 3.944 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify 1 into 1 3.945 * [backup-simplify]: Simplify (/ 1 1) into 1 3.945 * [backup-simplify]: Simplify (- 1) into -1 3.945 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.945 * [backup-simplify]: Simplify (sqrt 0) into 0 3.946 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.946 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.946 * [taylor]: Taking taylor expansion of -1 in x 3.946 * [backup-simplify]: Simplify -1 into -1 3.946 * [taylor]: Taking taylor expansion of x in x 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 1 into 1 3.947 * [backup-simplify]: Simplify (/ -1 1) into -1 3.947 * [taylor]: Taking taylor expansion of (fma (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x))) (/ -1 x)) in x 3.947 * [taylor]: Rewrote expression to (+ (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ -1 x)) 3.947 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 3.947 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 3.947 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 3.947 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 3.947 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.947 * [taylor]: Taking taylor expansion of 1.0 in x 3.947 * [backup-simplify]: Simplify 1.0 into 1.0 3.947 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.948 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.948 * [taylor]: Taking taylor expansion of x in x 3.948 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify 1 into 1 3.948 * [backup-simplify]: Simplify (/ 1 1) into 1 3.948 * [backup-simplify]: Simplify (+ 0 1) into 1 3.949 * [backup-simplify]: Simplify (- 1) into -1 3.949 * [backup-simplify]: Simplify (sqrt 0) into 0 3.949 * [backup-simplify]: Simplify (- 1) into -1 3.950 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.950 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 3.950 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 3.950 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.950 * [taylor]: Taking taylor expansion of 1.0 in x 3.950 * [backup-simplify]: Simplify 1.0 into 1.0 3.950 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 3.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 3.951 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.951 * [taylor]: Taking taylor expansion of x in x 3.951 * [backup-simplify]: Simplify 0 into 0 3.951 * [backup-simplify]: Simplify 1 into 1 3.951 * [backup-simplify]: Simplify (/ 1 1) into 1 3.951 * [backup-simplify]: Simplify (- 1) into -1 3.951 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.952 * [backup-simplify]: Simplify (sqrt 0) into 0 3.952 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 3.952 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.953 * [taylor]: Taking taylor expansion of -1 in x 3.953 * [backup-simplify]: Simplify -1 into -1 3.953 * [taylor]: Taking taylor expansion of x in x 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify 1 into 1 3.953 * [backup-simplify]: Simplify (/ -1 1) into -1 3.953 * [backup-simplify]: Simplify (* 0 0) into 0 3.953 * [backup-simplify]: Simplify (+ 0 0) into 0 3.953 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 3.954 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.954 * [backup-simplify]: Simplify -1 into -1 3.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.955 * [backup-simplify]: Simplify (- 0) into 0 3.955 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.958 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 3.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.959 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 3.960 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 3.964 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 3.969 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 0))) into (- +nan.0) 3.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.970 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 3.971 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.972 * [backup-simplify]: Simplify (- 0) into 0 3.973 * [backup-simplify]: Simplify (+ 0 0) into 0 3.980 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 3.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.982 * [backup-simplify]: Simplify (+ 0 0) into 0 3.982 * [backup-simplify]: Simplify (- 0) into 0 3.992 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (sqrt 1.0) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.006 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.011 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.014 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 4.017 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (/ 1 (- x))) (+ (- +nan.0) (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ (sqrt 1.0) x))))))) 4.017 * * * [progress]: simplifying candidates 4.018 * [simplify]: Simplifying: (expm1 (exp (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)))) (log1p (exp (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)))) (exp 1) (exp (* (cbrt (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (cbrt (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))))) (exp (sqrt (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)))) (exp 1) (exp (log (* (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))))) (exp (log (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)))) (exp (log (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)))) (exp (log (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)))) (exp (log 1)) (exp (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (log (exp (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)))) (exp (exp (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)))) (* (cbrt (exp (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)))) (cbrt (exp (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))))) (cbrt (exp (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)))) (* (* (exp (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (exp (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)))) (exp (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)))) (sqrt (exp (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)))) (sqrt (exp (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)))) (expm1 (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (log1p (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (* (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x))) (cbrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (* (* (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x) (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (sqrt (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (- (+ (* 1/4 (* (/ (pow x 2) (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (sqrt 1.0))))) (+ x (+ (* (sqrt (- (sqrt 1.0))) (sqrt (sqrt 1.0))) (+ (* 1/2 (* (/ x (sqrt (- (sqrt 1.0)))) (sqrt (sqrt 1.0)))) (* 1/2 (* (* (sqrt (- (sqrt 1.0))) x) (sqrt (/ 1 (sqrt 1.0))))))))) (+ (* 1/8 (* (* (sqrt (- (sqrt 1.0))) (pow x 2)) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/8 (* (/ (pow x 2) (pow (sqrt (- (sqrt 1.0))) 3)) (sqrt (sqrt 1.0)))))) (- x (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ (sqrt 1.0) x))))))) (- x (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ (sqrt 1.0) x))))))) (- (+ (* 1/4 (* (/ (pow x 2) (sqrt (- (sqrt 1.0)))) (sqrt (/ 1 (sqrt 1.0))))) (+ x (+ (* (sqrt (- (sqrt 1.0))) (sqrt (sqrt 1.0))) (+ (* 1/2 (* (/ x (sqrt (- (sqrt 1.0)))) (sqrt (sqrt 1.0)))) (* 1/2 (* (* (sqrt (- (sqrt 1.0))) x) (sqrt (/ 1 (sqrt 1.0))))))))) (+ (* 1/8 (* (* (sqrt (- (sqrt 1.0))) (pow x 2)) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* 1/8 (* (/ (pow x 2) (pow (sqrt (- (sqrt 1.0))) 3)) (sqrt (sqrt 1.0)))))) (- x (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ (sqrt 1.0) x))))))) (- x (+ +nan.0 (- (+ (* +nan.0 (/ 1 x)) (- (* +nan.0 (/ (sqrt 1.0) x))))))) 4.020 * * [simplify]: iteration 0: 90 enodes 4.049 * * [simplify]: iteration 1: 206 enodes 4.152 * * [simplify]: iteration 2: 666 enodes 4.640 * * [simplify]: iteration 3: 3325 enodes 5.524 * * [simplify]: iteration complete: 5000 enodes 5.524 * * [simplify]: Extracting #0: cost 16 inf + 0 5.525 * * [simplify]: Extracting #1: cost 261 inf + 2 5.529 * * [simplify]: Extracting #2: cost 979 inf + 24 5.536 * * [simplify]: Extracting #3: cost 1004 inf + 451 5.548 * * [simplify]: Extracting #4: cost 957 inf + 651 5.556 * * [simplify]: Extracting #5: cost 866 inf + 1267 5.562 * * [simplify]: Extracting #6: cost 447 inf + 6307 5.569 * * [simplify]: Extracting #7: cost 51 inf + 16327 5.578 * * [simplify]: Extracting #8: cost 0 inf + 18117 5.585 * * [simplify]: Extracting #9: cost 0 inf + 18047 5.597 * [simplify]: Simplified to: (expm1 (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x)) (log1p (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x)) E (exp (* (cbrt (log (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x))) (cbrt (log (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x))))) (exp (sqrt (log (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x)))) E (exp (* 2 (log (cbrt (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x))))) (cbrt (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x)) (sqrt (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x)) (sqrt (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x)) 1 (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x) (log (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x)) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (exp (* 2 (log (cbrt (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x))))) (cbrt (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x)) (pow (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x) 3) (sqrt (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x)) (sqrt (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x)) (expm1 (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x)) (log1p (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (log (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x)) (exp (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)) (exp (* 2 (log (cbrt (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x))))) (cbrt (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x)) (pow (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x) 3) (sqrt (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x)) (sqrt (fma (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) x)) (fma -1/8 (fma (pow x 2) (* (sqrt (/ (/ 1 1.0) (sqrt 1.0))) (sqrt (- (sqrt 1.0)))) (* (sqrt (sqrt 1.0)) (/ x (/ (pow (sqrt (- (sqrt 1.0))) 3) x)))) (fma (* (sqrt (/ 1 (sqrt 1.0))) 1/4) (/ (pow x 2) (sqrt (- (sqrt 1.0)))) (fma (/ x (sqrt (- (sqrt 1.0)))) (* 1/2 (sqrt (sqrt 1.0))) (fma (sqrt (- (sqrt 1.0))) (fma (sqrt (/ 1 (sqrt 1.0))) (* x 1/2) (sqrt (sqrt 1.0))) x)))) (fma +nan.0 (- (/ 1 x) (/ (sqrt 1.0) x)) (- x +nan.0)) (fma +nan.0 (- (/ 1 x) (/ (sqrt 1.0) x)) (- x +nan.0)) (fma -1/8 (fma (pow x 2) (* (sqrt (/ (/ 1 1.0) (sqrt 1.0))) (sqrt (- (sqrt 1.0)))) (* (sqrt (sqrt 1.0)) (/ x (/ (pow (sqrt (- (sqrt 1.0))) 3) x)))) (fma (* (sqrt (/ 1 (sqrt 1.0))) 1/4) (/ (pow x 2) (sqrt (- (sqrt 1.0)))) (fma (/ x (sqrt (- (sqrt 1.0)))) (* 1/2 (sqrt (sqrt 1.0))) (fma (sqrt (- (sqrt 1.0))) (fma (sqrt (/ 1 (sqrt 1.0))) (* x 1/2) (sqrt (sqrt 1.0))) x)))) (fma +nan.0 (- (/ 1 x) (/ (sqrt 1.0) x)) (- x +nan.0)) (fma +nan.0 (- (/ 1 x) (/ (sqrt 1.0) x)) (- x +nan.0)) 5.597 * * * [progress]: adding candidates to table 5.821 * [progress]: [Phase 3 of 3] Extracting. 5.829 * [simplify]: Simplifying: (log (exp (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)))) 5.829 * * [simplify]: iteration 0: 11 enodes 5.831 * * [simplify]: iteration 1: 12 enodes 5.832 * * [simplify]: iteration complete: 12 enodes 5.832 * * [simplify]: Extracting #0: cost 1 inf + 0 5.832 * * [simplify]: Extracting #1: cost 2 inf + 0 5.832 * * [simplify]: Extracting #2: cost 3 inf + 0 5.832 * * [simplify]: Extracting #3: cost 4 inf + 0 5.832 * * [simplify]: Extracting #4: cost 7 inf + 0 5.832 * * [simplify]: Extracting #5: cost 8 inf + 1 5.832 * * [simplify]: Extracting #6: cost 9 inf + 1 5.832 * * [simplify]: Extracting #7: cost 10 inf + 1 5.832 * * [simplify]: Extracting #8: cost 0 inf + 76 5.832 * [simplify]: Simplified to: (log (exp (log (fma (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0))) x)))) 9.798 * [regime-testing]: Baseline error score: 0.04200525065633204 9.801 * [regime-testing]: Oracle error score: 0.04200525065633204 9.802 * [regime-testing]: End program error score: 0.04200525065633204