7.150 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying: (- (sqrt (+ x 1.0)) (sqrt x)) 0.025 * [simplify]: Sending expressions to egg_math: (- (sqrt (+ h0 h1)) (sqrt h0)) 0.027 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.029 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.030 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.079 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.087 * * * [progress]: generating series expansions 0.087 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.087 * [backup-simplify]: Simplify (- (sqrt (+ x 1.0)) (sqrt x)) into (- (sqrt (+ x 1.0)) (sqrt x)) 0.087 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.087 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.087 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.087 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [taylor]: Taking taylor expansion of 1.0 in x 0.087 * [backup-simplify]: Simplify 1.0 into 1.0 0.087 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.088 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.088 * [backup-simplify]: Simplify (+ 1 0) into 1 0.089 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.089 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (sqrt 0) into 0 0.090 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.090 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.090 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.090 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [backup-simplify]: Simplify 1.0 into 1.0 0.091 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.091 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.091 * [backup-simplify]: Simplify (+ 1 0) into 1 0.092 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.092 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [backup-simplify]: Simplify 0 into 0 0.092 * [backup-simplify]: Simplify 1 into 1 0.092 * [backup-simplify]: Simplify (sqrt 0) into 0 0.093 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.094 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.094 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.094 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.096 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) (- +nan.0)) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.097 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.097 * [backup-simplify]: Simplify (+ 0 0) into 0 0.100 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.102 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.102 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.104 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) (- +nan.0)) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 0.107 * [backup-simplify]: Simplify (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 0.112 * [backup-simplify]: Simplify (+ (* (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (pow x 2)) (+ (* (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) 0.112 * [backup-simplify]: Simplify (- (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))) into (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) 0.112 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.112 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.112 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.112 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.112 * [taylor]: Taking taylor expansion of 1.0 in x 0.112 * [backup-simplify]: Simplify 1.0 into 1.0 0.112 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [backup-simplify]: Simplify (/ 1 1) into 1 0.112 * [backup-simplify]: Simplify (+ 0 1) into 1 0.113 * [backup-simplify]: Simplify (sqrt 0) into 0 0.113 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.113 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (/ 1 1) into 1 0.114 * [backup-simplify]: Simplify (sqrt 0) into 0 0.115 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.115 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.115 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.115 * [taylor]: Taking taylor expansion of 1.0 in x 0.115 * [backup-simplify]: Simplify 1.0 into 1.0 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (/ 1 1) into 1 0.115 * [backup-simplify]: Simplify (+ 0 1) into 1 0.116 * [backup-simplify]: Simplify (sqrt 0) into 0 0.117 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.117 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [backup-simplify]: Simplify (sqrt 0) into 0 0.118 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.118 * [backup-simplify]: Simplify (- 0) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.119 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.120 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.123 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.125 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.125 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.126 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.126 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.136 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.136 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.136 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.137 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.138 * [backup-simplify]: Simplify (- (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))) into (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) 0.138 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.138 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.138 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.138 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.138 * [taylor]: Taking taylor expansion of 1.0 in x 0.138 * [backup-simplify]: Simplify 1.0 into 1.0 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [backup-simplify]: Simplify (- 1) into -1 0.138 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.139 * [backup-simplify]: Simplify (sqrt 0) into 0 0.139 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.139 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.139 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.139 * [taylor]: Taking taylor expansion of -1 in x 0.140 * [backup-simplify]: Simplify -1 into -1 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (/ -1 1) into -1 0.140 * [backup-simplify]: Simplify (sqrt 0) into 0 0.141 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.141 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.141 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.141 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [backup-simplify]: Simplify 1.0 into 1.0 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [backup-simplify]: Simplify (- 1) into -1 0.142 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.142 * [backup-simplify]: Simplify (sqrt 0) into 0 0.143 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.143 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.143 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.143 * [taylor]: Taking taylor expansion of -1 in x 0.143 * [backup-simplify]: Simplify -1 into -1 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ -1 1) into -1 0.143 * [backup-simplify]: Simplify (sqrt 0) into 0 0.144 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.145 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.145 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.148 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.151 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.151 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.151 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.157 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.158 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 0.158 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.159 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.159 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.159 * [backup-simplify]: Simplify (sqrt (+ x 1.0)) into (sqrt (+ x 1.0)) 0.159 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.159 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.159 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [backup-simplify]: Simplify 1.0 into 1.0 0.160 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.160 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.160 * [backup-simplify]: Simplify (+ 1 0) into 1 0.161 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.161 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [taylor]: Taking taylor expansion of 1.0 in x 0.161 * [backup-simplify]: Simplify 1.0 into 1.0 0.161 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.162 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.162 * [backup-simplify]: Simplify (+ 1 0) into 1 0.163 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.163 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.164 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.168 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.170 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 0.170 * [backup-simplify]: Simplify (sqrt (+ (/ 1 x) 1.0)) into (sqrt (+ 1.0 (/ 1 x))) 0.170 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.170 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.170 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of 1.0 in x 0.170 * [backup-simplify]: Simplify 1.0 into 1.0 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [backup-simplify]: Simplify (+ 0 1) into 1 0.171 * [backup-simplify]: Simplify (sqrt 0) into 0 0.172 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.172 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.172 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.172 * [taylor]: Taking taylor expansion of 1.0 in x 0.172 * [backup-simplify]: Simplify 1.0 into 1.0 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [backup-simplify]: Simplify (+ 0 1) into 1 0.173 * [backup-simplify]: Simplify (sqrt 0) into 0 0.173 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.176 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.176 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.179 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.179 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.179 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- x)) 1.0)) into (sqrt (- 1.0 (/ 1 x))) 0.179 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.179 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.179 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [backup-simplify]: Simplify 1.0 into 1.0 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [backup-simplify]: Simplify (- 1) into -1 0.180 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.180 * [backup-simplify]: Simplify (sqrt 0) into 0 0.181 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.181 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.181 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.181 * [taylor]: Taking taylor expansion of 1.0 in x 0.181 * [backup-simplify]: Simplify 1.0 into 1.0 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [backup-simplify]: Simplify (- 1) into -1 0.182 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.182 * [backup-simplify]: Simplify (sqrt 0) into 0 0.183 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (- 0) into 0 0.184 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.185 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.186 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.189 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.189 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.189 * * * [progress]: simplifying candidates 0.190 * [simplify]: Simplifying: (/ (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (* (* (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (sqrt x)) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.190 * [simplify]: Sending expressions to egg_math: (/ (exp (sqrt (+ h0 h1))) (exp (sqrt h0))) (log (- (sqrt (+ h0 h1)) (sqrt h0))) (exp (- (sqrt (+ h0 h1)) (sqrt h0))) (* (cbrt (- (sqrt (+ h0 h1)) (sqrt h0))) (cbrt (- (sqrt (+ h0 h1)) (sqrt h0)))) (cbrt (- (sqrt (+ h0 h1)) (sqrt h0))) (* (* (- (sqrt (+ h0 h1)) (sqrt h0)) (- (sqrt (+ h0 h1)) (sqrt h0))) (- (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (- (sqrt (+ h0 h1)) (sqrt h0))) (sqrt (- (sqrt (+ h0 h1)) (sqrt h0))) (- (pow (sqrt (+ h0 h1)) 3) (pow (sqrt h0) 3)) (+ (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (+ (* (sqrt h0) (sqrt h0)) (* (sqrt (+ h0 h1)) (sqrt h0)))) (- (sqrt h0)) (- (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (* (sqrt h0) (sqrt h0))) (+ (sqrt (+ h0 h1)) (sqrt h0)) (+ (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (- (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (+ (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (- (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (+ (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (- (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (+ (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (- (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt h0))) (- (sqrt (+ h0 h1)) (sqrt h0)) (- (sqrt (+ h0 h1)) (sqrt h0)) (- (sqrt (+ h0 h1)) (sqrt h0)) (- (sqrt h0)) (log (sqrt (+ h0 h1))) (exp (sqrt (+ h0 h1))) (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (* (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (sqrt (+ h0 h1))) (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (sqrt (cbrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (sqrt 1) (sqrt (+ h0 h1)) (sqrt 1) (sqrt (+ h0 h1)) (sqrt (+ (pow h0 3) (pow h1 3))) (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (sqrt (- h0 h1)) (/ 1 2) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1))) (- (+ (sqrt h1) (* 1/2 (/ h0 (sqrt h1)))) (+ (* h2 (pow h0 2)) (- (* 1/8 (/ (pow h0 2) (pow (sqrt h1) 3))) (* h2 h0)))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (sqrt h1) (* 1/2 (/ h0 (sqrt h1)))) (* 1/8 (/ (pow h0 2) (pow (sqrt h1) 3)))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) 0.194 * * [simplify]: iteration 0 : 182 enodes (cost 265 ) 0.197 * * [simplify]: iteration 1 : 544 enodes (cost 243 ) 0.207 * * [simplify]: iteration 2 : 2020 enodes (cost 233 ) 0.247 * * [simplify]: iteration 3 : 5002 enodes (cost 230 ) 0.249 * * * [progress]: adding candidates to table 0.325 * * [progress]: iteration 2 / 4 0.325 * * * [progress]: picking best candidate 0.330 * * * * [pick]: Picked # 0.330 * * * [progress]: localizing error 0.337 * * * [progress]: generating rewritten candidates 0.337 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.377 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.388 * * * [progress]: generating series expansions 0.388 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.388 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 0.388 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.388 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [backup-simplify]: Simplify 1.0 into 1.0 0.388 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.388 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.388 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.388 * [backup-simplify]: Simplify 1.0 into 1.0 0.389 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.389 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.389 * [backup-simplify]: Simplify (+ 1 0) into 1 0.390 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.390 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (sqrt 0) into 0 0.392 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.392 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.393 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 0.393 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [backup-simplify]: Simplify 1.0 into 1.0 0.393 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.393 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.393 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [backup-simplify]: Simplify 1.0 into 1.0 0.393 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.393 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.394 * [backup-simplify]: Simplify (+ 1 0) into 1 0.395 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.395 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [backup-simplify]: Simplify (sqrt 0) into 0 0.396 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.396 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.397 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 0.398 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 0.398 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.404 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 0.409 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.414 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.416 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 0.436 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (sqrt 1.0))) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 0.449 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 0.471 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) (pow x 2)) (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) 0.471 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) 0.471 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.471 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.472 * [taylor]: Taking taylor expansion of 1.0 in x 0.472 * [backup-simplify]: Simplify 1.0 into 1.0 0.472 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.472 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [backup-simplify]: Simplify 0 into 0 0.472 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (/ 1 1) into 1 0.472 * [backup-simplify]: Simplify (sqrt 0) into 0 0.473 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.473 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.473 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.473 * [taylor]: Taking taylor expansion of 1.0 in x 0.473 * [backup-simplify]: Simplify 1.0 into 1.0 0.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.474 * [backup-simplify]: Simplify (+ 0 1) into 1 0.474 * [backup-simplify]: Simplify (sqrt 0) into 0 0.475 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.475 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.476 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 0.476 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [backup-simplify]: Simplify 1.0 into 1.0 0.476 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.476 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [backup-simplify]: Simplify (/ 1 1) into 1 0.476 * [backup-simplify]: Simplify (sqrt 0) into 0 0.477 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.477 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.477 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [backup-simplify]: Simplify 1.0 into 1.0 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.478 * [backup-simplify]: Simplify (+ 0 1) into 1 0.478 * [backup-simplify]: Simplify (sqrt 0) into 0 0.478 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.479 * [backup-simplify]: Simplify (+ 0 0) into 0 0.479 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.479 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 0.480 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.484 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.484 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.486 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.487 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.492 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.496 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.496 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.497 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.497 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 0.497 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.497 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.497 * [taylor]: Taking taylor expansion of 1.0 in x 0.497 * [backup-simplify]: Simplify 1.0 into 1.0 0.497 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.497 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.497 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.497 * [taylor]: Taking taylor expansion of -1 in x 0.497 * [backup-simplify]: Simplify -1 into -1 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (/ -1 1) into -1 0.497 * [backup-simplify]: Simplify (sqrt 0) into 0 0.498 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.498 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.498 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.498 * [taylor]: Taking taylor expansion of 1.0 in x 0.498 * [backup-simplify]: Simplify 1.0 into 1.0 0.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (/ 1 1) into 1 0.499 * [backup-simplify]: Simplify (- 1) into -1 0.499 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.499 * [backup-simplify]: Simplify (sqrt 0) into 0 0.500 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.501 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 0.501 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.501 * [taylor]: Taking taylor expansion of 1.0 in x 0.501 * [backup-simplify]: Simplify 1.0 into 1.0 0.501 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.501 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.501 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.501 * [taylor]: Taking taylor expansion of -1 in x 0.501 * [backup-simplify]: Simplify -1 into -1 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (/ -1 1) into -1 0.502 * [backup-simplify]: Simplify (sqrt 0) into 0 0.502 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.502 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.502 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.502 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * [backup-simplify]: Simplify 1.0 into 1.0 0.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (/ 1 1) into 1 0.503 * [backup-simplify]: Simplify (- 1) into -1 0.503 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.503 * [backup-simplify]: Simplify (sqrt 0) into 0 0.504 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.505 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 0.505 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (- 0) into 0 0.508 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.510 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.511 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.513 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.513 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (- 0) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.519 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.522 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.523 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.523 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.523 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.524 * [backup-simplify]: Simplify (sqrt (+ x 1.0)) into (sqrt (+ x 1.0)) 0.524 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.524 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.524 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [taylor]: Taking taylor expansion of 1.0 in x 0.524 * [backup-simplify]: Simplify 1.0 into 1.0 0.524 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.524 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.524 * [backup-simplify]: Simplify (+ 1 0) into 1 0.525 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.525 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.525 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [backup-simplify]: Simplify 1.0 into 1.0 0.526 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.526 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.526 * [backup-simplify]: Simplify (+ 1 0) into 1 0.527 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.528 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.528 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.528 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.532 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.534 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 0.535 * [backup-simplify]: Simplify (sqrt (+ (/ 1 x) 1.0)) into (sqrt (+ 1.0 (/ 1 x))) 0.535 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.535 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.535 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.535 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [backup-simplify]: Simplify 1.0 into 1.0 0.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.535 * [backup-simplify]: Simplify (/ 1 1) into 1 0.535 * [backup-simplify]: Simplify (+ 0 1) into 1 0.536 * [backup-simplify]: Simplify (sqrt 0) into 0 0.536 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.537 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.537 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.537 * [taylor]: Taking taylor expansion of 1.0 in x 0.537 * [backup-simplify]: Simplify 1.0 into 1.0 0.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 1 into 1 0.537 * [backup-simplify]: Simplify (/ 1 1) into 1 0.537 * [backup-simplify]: Simplify (+ 0 1) into 1 0.537 * [backup-simplify]: Simplify (sqrt 0) into 0 0.538 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.541 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.541 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.544 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.544 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.544 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- x)) 1.0)) into (sqrt (- 1.0 (/ 1 x))) 0.544 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.544 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.544 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.544 * [taylor]: Taking taylor expansion of 1.0 in x 0.544 * [backup-simplify]: Simplify 1.0 into 1.0 0.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [backup-simplify]: Simplify (- 1) into -1 0.545 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.545 * [backup-simplify]: Simplify (sqrt 0) into 0 0.546 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.546 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.546 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [backup-simplify]: Simplify 1.0 into 1.0 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (/ 1 1) into 1 0.546 * [backup-simplify]: Simplify (- 1) into -1 0.547 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.547 * [backup-simplify]: Simplify (sqrt 0) into 0 0.547 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (- 0) into 0 0.549 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.550 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.550 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (- 0) into 0 0.551 * [backup-simplify]: Simplify (+ 0 0) into 0 0.553 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.553 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.554 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.554 * * * [progress]: simplifying candidates 0.558 * [simplify]: Simplifying: (- (log 1.0) (log (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (* 1.0 1.0) 1.0) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (- 1.0) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 1) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt 1)) (/ 1.0 1) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (/ 1.0 (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.559 * [simplify]: Sending expressions to egg_math: (- (log h0) (log (+ (sqrt (+ h1 h0)) (sqrt h1)))) (log (/ h0 (+ (sqrt (+ h1 h0)) (sqrt h1)))) (exp (/ h0 (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (* (* h0 h0) h0) (* (* (+ (sqrt (+ h1 h0)) (sqrt h1)) (+ (sqrt (+ h1 h0)) (sqrt h1))) (+ (sqrt (+ h1 h0)) (sqrt h1)))) (* (cbrt (/ h0 (+ (sqrt (+ h1 h0)) (sqrt h1)))) (cbrt (/ h0 (+ (sqrt (+ h1 h0)) (sqrt h1))))) (cbrt (/ h0 (+ (sqrt (+ h1 h0)) (sqrt h1)))) (* (* (/ h0 (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ h0 (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ h0 (+ (sqrt (+ h1 h0)) (sqrt h1)))) (sqrt (/ h0 (+ (sqrt (+ h1 h0)) (sqrt h1)))) (sqrt (/ h0 (+ (sqrt (+ h1 h0)) (sqrt h1)))) (- h0) (- (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))))) (/ (cbrt h0) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (cbrt h0) (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (* (cbrt h0) (cbrt h0)) (sqrt 1)) (/ (cbrt h0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (* (cbrt h0) (cbrt h0)) (sqrt 1)) (/ (cbrt h0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (* (cbrt h0) (cbrt h0)) 1) (/ (cbrt h0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (sqrt h0) (* (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))))) (/ (sqrt h0) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (sqrt h0) (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (sqrt h0) (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (sqrt h0) (sqrt 1)) (/ (sqrt h0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (sqrt h0) (sqrt 1)) (/ (sqrt h0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (sqrt h0) 1) (/ (sqrt h0) (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 (* (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))))) (/ h0 (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ 1 (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ h0 (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ 1 1) (/ h0 (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 (sqrt 1)) (/ h0 (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 (sqrt 1)) (/ h0 (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 1) (/ h0 (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ 1 (+ (sqrt (+ h1 h0)) (sqrt h1))) (/ (+ (sqrt (+ h1 h0)) (sqrt h1)) h0) (/ h0 (* (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))) (cbrt (+ (sqrt (+ h1 h0)) (sqrt h1))))) (/ h0 (sqrt (+ (sqrt (+ h1 h0)) (sqrt h1)))) (/ h0 1) (/ h0 (sqrt 1)) (/ h0 (sqrt 1)) (/ h0 1) (/ (+ (sqrt (+ h1 h0)) (sqrt h1)) (cbrt h0)) (/ (+ (sqrt (+ h1 h0)) (sqrt h1)) (sqrt h0)) (/ (+ (sqrt (+ h1 h0)) (sqrt h1)) h0) (/ h0 (+ (pow (sqrt (+ h1 h0)) 3) (pow (sqrt h1) 3))) (/ h0 (- (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* (sqrt h1) (sqrt h1)))) (log (sqrt (+ h1 h0))) (exp (sqrt (+ h1 h0))) (* (cbrt (sqrt (+ h1 h0))) (cbrt (sqrt (+ h1 h0)))) (cbrt (sqrt (+ h1 h0))) (* (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (sqrt (+ h1 h0))) (sqrt (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (sqrt (cbrt (+ h1 h0))) (sqrt (sqrt (+ h1 h0))) (sqrt (sqrt (+ h1 h0))) (sqrt 1) (sqrt (+ h1 h0)) (sqrt 1) (sqrt (+ h1 h0)) (sqrt (+ (pow h1 3) (pow h0 3))) (sqrt (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (sqrt (- h1 h0)) (/ 1 2) (sqrt (sqrt (+ h1 h0))) (sqrt (sqrt (+ h1 h0))) (- (+ (* h0 (/ 1 (sqrt h0))) (* h2 (/ (pow h1 2) (pow (sqrt h0) 5)))) (+ (* h3 (/ (pow h1 2) (pow (sqrt h0) 2))) (- (* h4 (/ h1 (pow (sqrt h0) 3))) (+ (* h3 (/ (pow h1 2) (pow (sqrt h0) 4))) (- (+ (* h3 (/ h1 (pow (sqrt h0) 2))) (- (* h3 (/ (pow h1 2) (pow (sqrt h0) 3)))))))))) (- (+ (* h3 (/ 1 (pow h1 2))) (- (+ (* h3 (/ 1 h1)) (- h3))))) (- (+ (* h3 (/ 1 (pow h1 2))) (- (+ (* h3 (/ 1 h1)) (- h3))))) (- (+ (sqrt h0) (* 1/2 (/ h1 (sqrt h0)))) (* 1/8 (/ (pow h1 2) (pow (sqrt h0) 3)))) (- (+ (* h3 (/ 1 (pow h1 2))) (- (+ (* h3 (/ 1 h1)) (- h3))))) (- (+ (* h3 (/ 1 (pow h1 2))) (- (+ (* h3 (/ 1 h1)) (- h3))))) 0.564 * * [simplify]: iteration 0 : 309 enodes (cost 501 ) 0.570 * * [simplify]: iteration 1 : 1128 enodes (cost 459 ) 0.594 * * [simplify]: iteration 2 : 5002 enodes (cost 430 ) 0.597 * * * [progress]: adding candidates to table 0.711 * * [progress]: iteration 3 / 4 0.711 * * * [progress]: picking best candidate 0.724 * * * * [pick]: Picked # 0.724 * * * [progress]: localizing error 0.733 * * * [progress]: generating rewritten candidates 0.733 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.782 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.828 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.836 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.850 * * * [progress]: generating series expansions 0.850 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.850 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) into (sqrt (+ x 1.0)) 0.850 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.850 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.850 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.850 * [taylor]: Taking taylor expansion of x in x 0.850 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 1 into 1 0.851 * [taylor]: Taking taylor expansion of 1.0 in x 0.851 * [backup-simplify]: Simplify 1.0 into 1.0 0.851 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.851 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.852 * [backup-simplify]: Simplify (+ 1 0) into 1 0.853 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.853 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.853 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify 1 into 1 0.853 * [taylor]: Taking taylor expansion of 1.0 in x 0.853 * [backup-simplify]: Simplify 1.0 into 1.0 0.853 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.853 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.854 * [backup-simplify]: Simplify (+ 1 0) into 1 0.855 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.855 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.856 * [backup-simplify]: Simplify (/ 1/2 (sqrt 1.0)) into (/ 1/2 (sqrt 1.0)) 0.856 * [backup-simplify]: Simplify (+ 0 0) into 0 0.859 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.860 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt 1.0) 3)) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.862 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt 1.0) 3)) (pow x 2)) (+ (* (/ 1/2 (sqrt 1.0)) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) 0.862 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (/ 1 x) 1.0))) (sqrt (sqrt (+ (/ 1 x) 1.0)))) into (sqrt (+ 1.0 (/ 1 x))) 0.862 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.862 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.862 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.862 * [taylor]: Taking taylor expansion of 1.0 in x 0.862 * [backup-simplify]: Simplify 1.0 into 1.0 0.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.863 * [backup-simplify]: Simplify (/ 1 1) into 1 0.863 * [backup-simplify]: Simplify (+ 0 1) into 1 0.863 * [backup-simplify]: Simplify (sqrt 0) into 0 0.864 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.864 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.864 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.864 * [taylor]: Taking taylor expansion of 1.0 in x 0.864 * [backup-simplify]: Simplify 1.0 into 1.0 0.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 1 into 1 0.864 * [backup-simplify]: Simplify (/ 1 1) into 1 0.865 * [backup-simplify]: Simplify (+ 0 1) into 1 0.865 * [backup-simplify]: Simplify (sqrt 0) into 0 0.866 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.866 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.868 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.868 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.869 * [backup-simplify]: Simplify (+ 0 0) into 0 0.871 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.871 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.872 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.872 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (/ 1 (- x)) 1.0))) (sqrt (sqrt (+ (/ 1 (- x)) 1.0)))) into (sqrt (- 1.0 (/ 1 x))) 0.872 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.872 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.872 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.872 * [taylor]: Taking taylor expansion of 1.0 in x 0.872 * [backup-simplify]: Simplify 1.0 into 1.0 0.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.872 * [taylor]: Taking taylor expansion of x in x 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify 1 into 1 0.872 * [backup-simplify]: Simplify (/ 1 1) into 1 0.872 * [backup-simplify]: Simplify (- 1) into -1 0.873 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.873 * [backup-simplify]: Simplify (sqrt 0) into 0 0.874 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.874 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.874 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.874 * [taylor]: Taking taylor expansion of 1.0 in x 0.874 * [backup-simplify]: Simplify 1.0 into 1.0 0.874 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [backup-simplify]: Simplify (/ 1 1) into 1 0.874 * [backup-simplify]: Simplify (- 1) into -1 0.874 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.875 * [backup-simplify]: Simplify (sqrt 0) into 0 0.875 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.876 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.876 * [backup-simplify]: Simplify (- 0) into 0 0.877 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.878 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.878 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.879 * [backup-simplify]: Simplify (- 0) into 0 0.879 * [backup-simplify]: Simplify (+ 0 0) into 0 0.882 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.882 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.882 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.882 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.882 * [backup-simplify]: Simplify (/ 1.0 (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 0.882 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.882 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.882 * [taylor]: Taking taylor expansion of 1.0 in x 0.882 * [backup-simplify]: Simplify 1.0 into 1.0 0.882 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.882 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.882 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.882 * [taylor]: Taking taylor expansion of x in x 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 1 into 1 0.882 * [taylor]: Taking taylor expansion of 1.0 in x 0.882 * [backup-simplify]: Simplify 1.0 into 1.0 0.883 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.883 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.883 * [backup-simplify]: Simplify (+ 1 0) into 1 0.884 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.884 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 1 into 1 0.885 * [backup-simplify]: Simplify (sqrt 0) into 0 0.886 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.886 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.887 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 0.887 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.887 * [taylor]: Taking taylor expansion of 1.0 in x 0.887 * [backup-simplify]: Simplify 1.0 into 1.0 0.887 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.887 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.887 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 1 into 1 0.887 * [taylor]: Taking taylor expansion of 1.0 in x 0.887 * [backup-simplify]: Simplify 1.0 into 1.0 0.887 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.888 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.888 * [backup-simplify]: Simplify (+ 1 0) into 1 0.889 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 0.889 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 1 into 1 0.889 * [backup-simplify]: Simplify (sqrt 0) into 0 0.890 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.891 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.891 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 0.892 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 0.893 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 0.899 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 0.909 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 0.909 * [backup-simplify]: Simplify (+ 0 0) into 0 0.913 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 0.914 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.916 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 0.938 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (sqrt 1.0))) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 0.951 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 0.970 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) (pow x 2)) (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) 0.971 * [backup-simplify]: Simplify (/ 1.0 (+ (* (sqrt (sqrt (+ (/ 1 x) 1.0))) (sqrt (sqrt (+ (/ 1 x) 1.0)))) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) 0.971 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.971 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.971 * [taylor]: Taking taylor expansion of 1.0 in x 0.971 * [backup-simplify]: Simplify 1.0 into 1.0 0.971 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.971 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.971 * [taylor]: Taking taylor expansion of x in x 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 1 into 1 0.971 * [backup-simplify]: Simplify (/ 1 1) into 1 0.972 * [backup-simplify]: Simplify (sqrt 0) into 0 0.972 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.972 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.972 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.972 * [taylor]: Taking taylor expansion of 1.0 in x 0.972 * [backup-simplify]: Simplify 1.0 into 1.0 0.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.973 * [taylor]: Taking taylor expansion of x in x 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 1 into 1 0.973 * [backup-simplify]: Simplify (/ 1 1) into 1 0.973 * [backup-simplify]: Simplify (+ 0 1) into 1 0.973 * [backup-simplify]: Simplify (sqrt 0) into 0 0.974 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.974 * [backup-simplify]: Simplify (+ 0 0) into 0 0.974 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.975 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 0.975 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.975 * [taylor]: Taking taylor expansion of 1.0 in x 0.975 * [backup-simplify]: Simplify 1.0 into 1.0 0.975 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.975 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 1 into 1 0.975 * [backup-simplify]: Simplify (/ 1 1) into 1 0.976 * [backup-simplify]: Simplify (sqrt 0) into 0 0.976 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.976 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.976 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.976 * [taylor]: Taking taylor expansion of 1.0 in x 0.976 * [backup-simplify]: Simplify 1.0 into 1.0 0.976 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.976 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 1 into 1 0.977 * [backup-simplify]: Simplify (/ 1 1) into 1 0.977 * [backup-simplify]: Simplify (+ 0 1) into 1 0.977 * [backup-simplify]: Simplify (sqrt 0) into 0 0.978 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.978 * [backup-simplify]: Simplify (+ 0 0) into 0 0.978 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.979 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 0.979 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.981 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.982 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.984 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.984 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 0.986 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 0.986 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.994 * [backup-simplify]: Simplify (+ 0 0) into 0 0.996 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.996 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.000 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.000 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.001 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.001 * [backup-simplify]: Simplify (/ 1.0 (+ (* (sqrt (sqrt (+ (/ 1 (- x)) 1.0))) (sqrt (sqrt (+ (/ 1 (- x)) 1.0)))) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 1.001 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.001 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.001 * [taylor]: Taking taylor expansion of 1.0 in x 1.001 * [backup-simplify]: Simplify 1.0 into 1.0 1.001 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.001 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.001 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.001 * [taylor]: Taking taylor expansion of -1 in x 1.001 * [backup-simplify]: Simplify -1 into -1 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [backup-simplify]: Simplify (/ -1 1) into -1 1.002 * [backup-simplify]: Simplify (sqrt 0) into 0 1.002 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.002 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.002 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.003 * [taylor]: Taking taylor expansion of 1.0 in x 1.003 * [backup-simplify]: Simplify 1.0 into 1.0 1.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 1 into 1 1.003 * [backup-simplify]: Simplify (/ 1 1) into 1 1.003 * [backup-simplify]: Simplify (- 1) into -1 1.003 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.004 * [backup-simplify]: Simplify (sqrt 0) into 0 1.004 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.005 * [backup-simplify]: Simplify (+ 0 0) into 0 1.005 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.005 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 1.005 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.005 * [taylor]: Taking taylor expansion of 1.0 in x 1.005 * [backup-simplify]: Simplify 1.0 into 1.0 1.005 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.005 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.005 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.005 * [taylor]: Taking taylor expansion of -1 in x 1.006 * [backup-simplify]: Simplify -1 into -1 1.006 * [taylor]: Taking taylor expansion of x in x 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify 1 into 1 1.006 * [backup-simplify]: Simplify (/ -1 1) into -1 1.006 * [backup-simplify]: Simplify (sqrt 0) into 0 1.007 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.007 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.007 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.007 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [backup-simplify]: Simplify 1.0 into 1.0 1.007 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify 1 into 1 1.007 * [backup-simplify]: Simplify (/ 1 1) into 1 1.007 * [backup-simplify]: Simplify (- 1) into -1 1.008 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.008 * [backup-simplify]: Simplify (sqrt 0) into 0 1.009 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.009 * [backup-simplify]: Simplify (+ 0 0) into 0 1.009 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.010 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 1.010 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.012 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.013 * [backup-simplify]: Simplify (- 0) into 0 1.013 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.015 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.015 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.017 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.018 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.021 * [backup-simplify]: Simplify (- 0) into 0 1.021 * [backup-simplify]: Simplify (+ 0 0) into 0 1.023 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.024 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 1.027 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 1.027 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.028 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 1.028 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 1.028 * [backup-simplify]: Simplify (sqrt (sqrt (+ x 1.0))) into (pow (+ x 1.0) 1/4) 1.028 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 1.028 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.028 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.028 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.028 * [taylor]: Taking taylor expansion of 1/4 in x 1.028 * [backup-simplify]: Simplify 1/4 into 1/4 1.028 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.028 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [backup-simplify]: Simplify 1 into 1 1.028 * [taylor]: Taking taylor expansion of 1.0 in x 1.028 * [backup-simplify]: Simplify 1.0 into 1.0 1.029 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.029 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.030 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 1.030 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 1.031 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.031 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.031 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.031 * [taylor]: Taking taylor expansion of 1/4 in x 1.031 * [backup-simplify]: Simplify 1/4 into 1/4 1.031 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.031 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.031 * [taylor]: Taking taylor expansion of x in x 1.031 * [backup-simplify]: Simplify 0 into 0 1.031 * [backup-simplify]: Simplify 1 into 1 1.031 * [taylor]: Taking taylor expansion of 1.0 in x 1.031 * [backup-simplify]: Simplify 1.0 into 1.0 1.031 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.031 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.032 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 1.033 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 1.033 * [backup-simplify]: Simplify (pow 1.0 1/4) into (pow 1.0 1/4) 1.033 * [backup-simplify]: Simplify (+ 1 0) into 1 1.036 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.038 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (log 1.0))) into 0.25 1.041 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (pow 1.0 1/4)) 1.042 * [backup-simplify]: Simplify (* 0.25 (pow 1.0 1/4)) into (* 0.25 (pow 1.0 1/4)) 1.042 * [backup-simplify]: Simplify (+ 0 0) into 0 1.047 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 1.050 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 1.058 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) 1.061 * [backup-simplify]: Simplify (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) 1.065 * [backup-simplify]: Simplify (+ (* (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) (pow x 2)) (+ (* (* 0.25 (pow 1.0 1/4)) x) (pow 1.0 1/4))) into (- (+ (* 0.25 (* x (pow 1.0 1/4))) (+ (* 0.03125 (* (pow x 2) (pow 1.0 1/4))) (pow 1.0 1/4))) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)))) 1.065 * [backup-simplify]: Simplify (sqrt (sqrt (+ (/ 1 x) 1.0))) into (pow (+ 1.0 (/ 1 x)) 1/4) 1.065 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 1.065 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.065 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.065 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.065 * [taylor]: Taking taylor expansion of 1/4 in x 1.065 * [backup-simplify]: Simplify 1/4 into 1/4 1.065 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.065 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.065 * [taylor]: Taking taylor expansion of 1.0 in x 1.065 * [backup-simplify]: Simplify 1.0 into 1.0 1.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.066 * [taylor]: Taking taylor expansion of x in x 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify 1 into 1 1.066 * [backup-simplify]: Simplify (/ 1 1) into 1 1.066 * [backup-simplify]: Simplify (+ 0 1) into 1 1.066 * [backup-simplify]: Simplify (log 1) into 0 1.067 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.067 * [backup-simplify]: Simplify (* 1/4 (- (log x))) into (* -1/4 (log x)) 1.067 * [backup-simplify]: Simplify (exp (* -1/4 (log x))) into (pow x -1/4) 1.067 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.067 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.067 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.067 * [taylor]: Taking taylor expansion of 1/4 in x 1.067 * [backup-simplify]: Simplify 1/4 into 1/4 1.067 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.067 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.067 * [taylor]: Taking taylor expansion of 1.0 in x 1.067 * [backup-simplify]: Simplify 1.0 into 1.0 1.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.067 * [taylor]: Taking taylor expansion of x in x 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify 1 into 1 1.067 * [backup-simplify]: Simplify (/ 1 1) into 1 1.067 * [backup-simplify]: Simplify (+ 0 1) into 1 1.068 * [backup-simplify]: Simplify (log 1) into 0 1.068 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.068 * [backup-simplify]: Simplify (* 1/4 (- (log x))) into (* -1/4 (log x)) 1.068 * [backup-simplify]: Simplify (exp (* -1/4 (log x))) into (pow x -1/4) 1.068 * [backup-simplify]: Simplify (pow x -1/4) into (pow x -1/4) 1.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.069 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.073 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.073 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.073 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log x)))) into 0.25 1.075 * [backup-simplify]: Simplify (* (exp (* -1/4 (log x))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (pow (/ 1 x) 1/4)) 1.075 * [backup-simplify]: Simplify (* 0.25 (pow (/ 1 x) 1/4)) into (* 0.25 (pow (/ 1 x) 1/4)) 1.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.076 * [backup-simplify]: Simplify (+ 0 0) into 0 1.086 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.086 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.087 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 (- (log x))))) into (- 0.125) 1.090 * [backup-simplify]: Simplify (* (exp (* -1/4 (log x))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (pow (/ 1 x) 1/4)) 1.090 * [backup-simplify]: Simplify (* -0.09375 (pow (/ 1 x) 1/4)) into (* -0.09375 (pow (/ 1 x) 1/4)) 1.091 * [backup-simplify]: Simplify (+ (* (* -0.09375 (pow (/ 1 (/ 1 x)) 1/4)) (pow (/ 1 x) 2)) (+ (* (* 0.25 (pow (/ 1 (/ 1 x)) 1/4)) (/ 1 x)) (pow (/ 1 x) -1/4))) into (- (+ (* 0.25 (pow (/ 1 (pow x 3)) 1/4)) (pow (/ 1 x) -1/4)) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) 1.091 * [backup-simplify]: Simplify (sqrt (sqrt (+ (/ 1 (- x)) 1.0))) into (pow (- 1.0 (/ 1 x)) 1/4) 1.091 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 1.091 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.091 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.091 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.091 * [taylor]: Taking taylor expansion of 1/4 in x 1.091 * [backup-simplify]: Simplify 1/4 into 1/4 1.091 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.091 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.091 * [taylor]: Taking taylor expansion of 1.0 in x 1.091 * [backup-simplify]: Simplify 1.0 into 1.0 1.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify 1 into 1 1.091 * [backup-simplify]: Simplify (/ 1 1) into 1 1.092 * [backup-simplify]: Simplify (- 1) into -1 1.092 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.092 * [backup-simplify]: Simplify (log -1) into (log -1) 1.093 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.093 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log x))) into (* 1/4 (- (log -1) (log x))) 1.093 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 1.093 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.093 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.093 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.093 * [taylor]: Taking taylor expansion of 1/4 in x 1.093 * [backup-simplify]: Simplify 1/4 into 1/4 1.093 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.093 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.093 * [taylor]: Taking taylor expansion of 1.0 in x 1.093 * [backup-simplify]: Simplify 1.0 into 1.0 1.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 1 into 1 1.094 * [backup-simplify]: Simplify (/ 1 1) into 1 1.094 * [backup-simplify]: Simplify (- 1) into -1 1.094 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.094 * [backup-simplify]: Simplify (log -1) into (log -1) 1.095 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.095 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log x))) into (* 1/4 (- (log -1) (log x))) 1.095 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 1.096 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 1.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.097 * [backup-simplify]: Simplify (- 0) into 0 1.097 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.101 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 1.101 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.102 * [backup-simplify]: Simplify (+ (* 1/4 -1.0) (* 0 (- (log -1) (log x)))) into (- 0.25) 1.104 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.25) 1) 1)))) into (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) 1.104 * [backup-simplify]: Simplify (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) into (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) 1.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.105 * [backup-simplify]: Simplify (- 0) into 0 1.105 * [backup-simplify]: Simplify (+ 0 0) into 0 1.111 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 1.112 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.113 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log x))))) into (- 0.125) 1.116 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.25) 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) 1.117 * [backup-simplify]: Simplify (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) 1.118 * [backup-simplify]: Simplify (+ (* (* -0.09375 (exp (* 1/4 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -0.25 (exp (* 1/4 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/4 (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (* 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 1.118 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.118 * [backup-simplify]: Simplify (sqrt (sqrt (+ x 1.0))) into (pow (+ x 1.0) 1/4) 1.118 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 1.118 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.118 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.118 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.118 * [taylor]: Taking taylor expansion of 1/4 in x 1.118 * [backup-simplify]: Simplify 1/4 into 1/4 1.118 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.118 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 1 into 1 1.118 * [taylor]: Taking taylor expansion of 1.0 in x 1.118 * [backup-simplify]: Simplify 1.0 into 1.0 1.119 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.119 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.119 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 1.120 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 1.120 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.120 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.120 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.120 * [taylor]: Taking taylor expansion of 1/4 in x 1.120 * [backup-simplify]: Simplify 1/4 into 1/4 1.120 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.120 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 1 into 1 1.121 * [taylor]: Taking taylor expansion of 1.0 in x 1.121 * [backup-simplify]: Simplify 1.0 into 1.0 1.121 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.121 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 1.122 * [backup-simplify]: Simplify (* 1/4 (log 1.0)) into (* 1/4 (log 1.0)) 1.122 * [backup-simplify]: Simplify (exp (* 1/4 (log 1.0))) into (pow 1.0 1/4) 1.123 * [backup-simplify]: Simplify (pow 1.0 1/4) into (pow 1.0 1/4) 1.123 * [backup-simplify]: Simplify (+ 1 0) into 1 1.126 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 1.127 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (log 1.0))) into 0.25 1.130 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (pow 1.0 1/4)) 1.131 * [backup-simplify]: Simplify (* 0.25 (pow 1.0 1/4)) into (* 0.25 (pow 1.0 1/4)) 1.131 * [backup-simplify]: Simplify (+ 0 0) into 0 1.136 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 1.139 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/8 (/ 1 (pow 1.0 2)))) 1.148 * [backup-simplify]: Simplify (* (exp (* 1/4 (log 1.0))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- (* 1/8 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) 1.150 * [backup-simplify]: Simplify (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) into (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) 1.154 * [backup-simplify]: Simplify (+ (* (* (- 0.03125 (* 1/8 (/ 1 (pow 1.0 2)))) (pow 1.0 1/4)) (pow x 2)) (+ (* (* 0.25 (pow 1.0 1/4)) x) (pow 1.0 1/4))) into (- (+ (* 0.25 (* x (pow 1.0 1/4))) (+ (* 0.03125 (* (pow x 2) (pow 1.0 1/4))) (pow 1.0 1/4))) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4)))) 1.154 * [backup-simplify]: Simplify (sqrt (sqrt (+ (/ 1 x) 1.0))) into (pow (+ 1.0 (/ 1 x)) 1/4) 1.154 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 1.154 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.154 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.154 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.154 * [taylor]: Taking taylor expansion of 1/4 in x 1.154 * [backup-simplify]: Simplify 1/4 into 1/4 1.154 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.154 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.154 * [taylor]: Taking taylor expansion of 1.0 in x 1.154 * [backup-simplify]: Simplify 1.0 into 1.0 1.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify 1 into 1 1.155 * [backup-simplify]: Simplify (/ 1 1) into 1 1.155 * [backup-simplify]: Simplify (+ 0 1) into 1 1.155 * [backup-simplify]: Simplify (log 1) into 0 1.155 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.155 * [backup-simplify]: Simplify (* 1/4 (- (log x))) into (* -1/4 (log x)) 1.156 * [backup-simplify]: Simplify (exp (* -1/4 (log x))) into (pow x -1/4) 1.156 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.156 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.156 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.156 * [taylor]: Taking taylor expansion of 1/4 in x 1.156 * [backup-simplify]: Simplify 1/4 into 1/4 1.156 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.156 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.156 * [taylor]: Taking taylor expansion of 1.0 in x 1.156 * [backup-simplify]: Simplify 1.0 into 1.0 1.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 1 into 1 1.156 * [backup-simplify]: Simplify (/ 1 1) into 1 1.156 * [backup-simplify]: Simplify (+ 0 1) into 1 1.156 * [backup-simplify]: Simplify (log 1) into 0 1.157 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.157 * [backup-simplify]: Simplify (* 1/4 (- (log x))) into (* -1/4 (log x)) 1.157 * [backup-simplify]: Simplify (exp (* -1/4 (log x))) into (pow x -1/4) 1.157 * [backup-simplify]: Simplify (pow x -1/4) into (pow x -1/4) 1.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.158 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.161 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 1.161 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.162 * [backup-simplify]: Simplify (+ (* 1/4 1.0) (* 0 (- (log x)))) into 0.25 1.163 * [backup-simplify]: Simplify (* (exp (* -1/4 (log x))) (+ (* (/ (pow 0.25 1) 1)))) into (* 0.25 (pow (/ 1 x) 1/4)) 1.163 * [backup-simplify]: Simplify (* 0.25 (pow (/ 1 x) 1/4)) into (* 0.25 (pow (/ 1 x) 1/4)) 1.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.164 * [backup-simplify]: Simplify (+ 0 0) into 0 1.170 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 1.170 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) 1.171 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 1.0) (* 0 (- (log x))))) into (- 0.125) 1.178 * [backup-simplify]: Simplify (* (exp (* -1/4 (log x))) (+ (* (/ (pow 0.25 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (pow (/ 1 x) 1/4)) 1.178 * [backup-simplify]: Simplify (* -0.09375 (pow (/ 1 x) 1/4)) into (* -0.09375 (pow (/ 1 x) 1/4)) 1.179 * [backup-simplify]: Simplify (+ (* (* -0.09375 (pow (/ 1 (/ 1 x)) 1/4)) (pow (/ 1 x) 2)) (+ (* (* 0.25 (pow (/ 1 (/ 1 x)) 1/4)) (/ 1 x)) (pow (/ 1 x) -1/4))) into (- (+ (* 0.25 (pow (/ 1 (pow x 3)) 1/4)) (pow (/ 1 x) -1/4)) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4))) 1.179 * [backup-simplify]: Simplify (sqrt (sqrt (+ (/ 1 (- x)) 1.0))) into (pow (- 1.0 (/ 1 x)) 1/4) 1.179 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 1.179 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.179 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.179 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.179 * [taylor]: Taking taylor expansion of 1/4 in x 1.179 * [backup-simplify]: Simplify 1/4 into 1/4 1.179 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.179 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.179 * [taylor]: Taking taylor expansion of 1.0 in x 1.179 * [backup-simplify]: Simplify 1.0 into 1.0 1.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify 1 into 1 1.179 * [backup-simplify]: Simplify (/ 1 1) into 1 1.179 * [backup-simplify]: Simplify (- 1) into -1 1.180 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.180 * [backup-simplify]: Simplify (log -1) into (log -1) 1.180 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.181 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log x))) into (* 1/4 (- (log -1) (log x))) 1.181 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 1.181 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.181 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.181 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.181 * [taylor]: Taking taylor expansion of 1/4 in x 1.181 * [backup-simplify]: Simplify 1/4 into 1/4 1.181 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.181 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.181 * [taylor]: Taking taylor expansion of 1.0 in x 1.181 * [backup-simplify]: Simplify 1.0 into 1.0 1.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.181 * [backup-simplify]: Simplify 0 into 0 1.181 * [backup-simplify]: Simplify 1 into 1 1.182 * [backup-simplify]: Simplify (/ 1 1) into 1 1.182 * [backup-simplify]: Simplify (- 1) into -1 1.182 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.182 * [backup-simplify]: Simplify (log -1) into (log -1) 1.183 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.183 * [backup-simplify]: Simplify (* 1/4 (- (log -1) (log x))) into (* 1/4 (- (log -1) (log x))) 1.183 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 1.184 * [backup-simplify]: Simplify (exp (* 1/4 (- (log -1) (log x)))) into (exp (* 1/4 (- (log -1) (log x)))) 1.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.184 * [backup-simplify]: Simplify (- 0) into 0 1.185 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 1.189 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.190 * [backup-simplify]: Simplify (+ (* 1/4 -1.0) (* 0 (- (log -1) (log x)))) into (- 0.25) 1.192 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.25) 1) 1)))) into (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) 1.192 * [backup-simplify]: Simplify (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) into (* -0.25 (exp (* 1/4 (- (log -1) (log x))))) 1.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.193 * [backup-simplify]: Simplify (- 0) into 0 1.193 * [backup-simplify]: Simplify (+ 0 0) into 0 1.199 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 1.200 * [backup-simplify]: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) 1.201 * [backup-simplify]: Simplify (+ (* 1/4 -0.5) (+ (* 0 -1.0) (* 0 (- (log -1) (log x))))) into (- 0.125) 1.204 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log -1) (log x)))) (+ (* (/ (pow (- 0.25) 2) 2)) (* (/ (pow (- 0.125) 1) 1)))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) 1.205 * [backup-simplify]: Simplify (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) into (* -0.09375 (exp (* 1/4 (- (log -1) (log x))))) 1.206 * [backup-simplify]: Simplify (+ (* (* -0.09375 (exp (* 1/4 (- (log -1) (log (/ 1 (- x))))))) (pow (/ 1 (- x)) 2)) (+ (* (* -0.25 (exp (* 1/4 (- (log -1) (log (/ 1 (- x))))))) (/ 1 (- x))) (exp (* 1/4 (- (log -1) (log (/ 1 (- x)))))))) into (- (+ (* 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/4 (- (log -1) (log (/ -1 x)))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 1.206 * * * [progress]: simplifying candidates 1.209 * [simplify]: Simplifying: (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (+ x 1.0) (+ x 1.0)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (+ x 1.0) (+ x 1.0)) (+ 1 1) (+ (log (sqrt (sqrt (+ x 1.0)))) (log (sqrt (sqrt (+ x 1.0))))) (log (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (exp (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (* (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0))))) (* (cbrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (cbrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))))) (cbrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (* (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (sqrt (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3))))) (* (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))) (* (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (- (* x x) (* 1.0 1.0))))) (* (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (- x 1.0)))) (* (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3))))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))))) (* (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (- (* x x) (* 1.0 1.0))))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt (- x 1.0)))) (* (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0)))))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (sqrt (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (* (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (cbrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (* (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (cbrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* 1 1) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ x 1.0))) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0)))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt 1)) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0))))) (* (sqrt (sqrt (+ x 1.0))) 1) (* (cbrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3))))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (- (* x x) (* 1.0 1.0))))) (* (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (+ x 1.0)))) (- (log 1.0) (log (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (log (/ 1.0 (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (exp (/ 1.0 (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (/ (* (* 1.0 1.0) 1.0) (* (* (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))) (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (* (cbrt (/ 1.0 (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (cbrt (/ 1.0 (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))))) (cbrt (/ 1.0 (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (* (* (/ 1.0 (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))) (/ 1.0 (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (/ 1.0 (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (sqrt (/ 1.0 (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (sqrt (/ 1.0 (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x)))) (- 1.0) (- (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (sqrt x))) (cbrt (+ (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 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h0)))) (log (sqrt (sqrt (+ h0 h1)))) (exp (sqrt (sqrt (+ h0 h1)))) (* (cbrt (sqrt (sqrt (+ h0 h1)))) (cbrt (sqrt (sqrt (+ h0 h1))))) (cbrt (sqrt (sqrt (+ h0 h1)))) (* (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1)))) (sqrt (sqrt (+ h0 h1)))) (sqrt (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1))))) (sqrt (cbrt (sqrt (+ h0 h1)))) (sqrt (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (sqrt (sqrt (cbrt (+ h0 h1)))) (sqrt (sqrt (sqrt (+ h0 h1)))) (sqrt (sqrt (sqrt (+ h0 h1)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt 1)) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (sqrt (+ h0 h1)))) (sqrt (sqrt (sqrt (+ h0 h1)))) (sqrt 1) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ (pow h0 3) (pow h1 3)))) (sqrt (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- h0 h1))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ h0 h1)))) (sqrt (sqrt (sqrt (+ h0 h1)))) (log (sqrt (sqrt (+ h0 h1)))) (exp (sqrt (sqrt (+ h0 h1)))) (* (cbrt (sqrt (sqrt (+ h0 h1)))) (cbrt (sqrt (sqrt (+ h0 h1))))) (cbrt (sqrt (sqrt (+ h0 h1)))) (* (* (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ h0 h1)))) (sqrt (sqrt (+ h0 h1)))) (sqrt (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1))))) (sqrt (cbrt (sqrt (+ h0 h1)))) (sqrt (sqrt (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))))) (sqrt (sqrt (cbrt (+ h0 h1)))) (sqrt (sqrt (sqrt (+ h0 h1)))) (sqrt (sqrt (sqrt (+ h0 h1)))) (sqrt (sqrt 1)) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt 1)) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (sqrt (+ h0 h1)))) (sqrt (sqrt (sqrt (+ h0 h1)))) (sqrt 1) (sqrt (sqrt (+ h0 h1))) (sqrt (sqrt (+ (pow h0 3) (pow h1 3)))) (sqrt (sqrt (+ (* h0 h0) (- (* h1 h1) (* h0 h1))))) (sqrt (sqrt (- (* h0 h0) (* h1 h1)))) (sqrt (sqrt (- h0 h1))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (sqrt (sqrt (sqrt (+ h0 h1)))) (sqrt (sqrt (sqrt (+ h0 h1)))) (- (+ (sqrt h1) (* 1/2 (/ h0 (sqrt h1)))) (* 1/8 (/ (pow h0 2) (pow (sqrt h1) 3)))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h1 (/ 1 (sqrt h1))) (* h3 (/ (pow h0 2) (pow (sqrt h1) 5)))) (+ (* h2 (/ (pow h0 2) (pow (sqrt h1) 2))) (- (* h4 (/ h0 (pow (sqrt h1) 3))) (+ (* h2 (/ (pow h0 2) (pow (sqrt h1) 4))) (- (+ (* h2 (/ h0 (pow (sqrt h1) 2))) (- (* h2 (/ (pow h0 2) (pow (sqrt h1) 3)))))))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h2 (/ 1 (pow h0 2))) (- (+ (* h2 (/ 1 h0)) (- h2))))) (- (+ (* h5 (* h0 (pow h1 1/4))) (+ (* h6 (* (pow h0 2) (pow h1 1/4))) (pow h1 1/4))) (* 1/8 (* (pow h0 2) (pow (/ 1 (pow h1 7)) 1/4)))) (- (+ (* h5 (pow (/ 1 (pow h0 3)) 1/4)) (pow (/ 1 h0) -1/4)) (* h7 (pow (/ 1 (pow h0 7)) 1/4))) (- (+ (* h5 (/ (exp (* 1/4 (- (log -1) (log (/ -1 h0))))) h0)) (exp (* 1/4 (- (log -1) (log (/ -1 h0)))))) (* h7 (/ (exp (* 1/4 (- (log -1) (log (/ -1 h0))))) (pow h0 2)))) (- (+ (* h5 (* h0 (pow h1 1/4))) (+ (* h6 (* (pow h0 2) (pow h1 1/4))) (pow h1 1/4))) (* 1/8 (* (pow h0 2) (pow (/ 1 (pow h1 7)) 1/4)))) (- (+ (* h5 (pow (/ 1 (pow h0 3)) 1/4)) (pow (/ 1 h0) -1/4)) (* h7 (pow (/ 1 (pow h0 7)) 1/4))) (- (+ (* h5 (/ (exp (* 1/4 (- (log -1) (log (/ -1 h0))))) h0)) (exp (* 1/4 (- (log -1) (log (/ -1 h0)))))) (* h7 (/ (exp (* 1/4 (- (log -1) (log (/ -1 h0))))) (pow h0 2)))) 1.218 * * [simplify]: iteration 0 : 525 enodes (cost 1350 ) 1.230 * * [simplify]: iteration 1 : 2329 enodes (cost 1176 ) 1.272 * * [simplify]: iteration 2 : 5001 enodes (cost 1152 ) 1.277 * * * [progress]: adding candidates to table 1.598 * * [progress]: iteration 4 / 4 1.598 * * * [progress]: picking best candidate 1.610 * * * * [pick]: Picked # 1.610 * * * [progress]: localizing error 1.619 * * * [progress]: generating rewritten candidates 1.620 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.817 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.858 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.901 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.959 * * * [progress]: generating series expansions 1.959 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.960 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) into (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) 1.960 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.960 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.960 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.960 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.960 * [taylor]: Taking taylor expansion of 1.0 in x 1.960 * [backup-simplify]: Simplify 1.0 into 1.0 1.961 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.961 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.961 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.961 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.961 * [taylor]: Taking taylor expansion of x in x 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 1 into 1 1.961 * [taylor]: Taking taylor expansion of 1.0 in x 1.961 * [backup-simplify]: Simplify 1.0 into 1.0 1.962 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.962 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.962 * [backup-simplify]: Simplify (+ 1 0) into 1 1.963 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.963 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.963 * [taylor]: Taking taylor expansion of x in x 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.964 * [backup-simplify]: Simplify (sqrt 0) into 0 1.965 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.965 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 1.966 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.967 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (sqrt 1.0)) into (sqrt 1.0) 1.967 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.967 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.967 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.967 * [taylor]: Taking taylor expansion of 1.0 in x 1.967 * [backup-simplify]: Simplify 1.0 into 1.0 1.967 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 1.968 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.968 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.968 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.968 * [taylor]: Taking taylor expansion of x in x 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [taylor]: Taking taylor expansion of 1.0 in x 1.968 * [backup-simplify]: Simplify 1.0 into 1.0 1.968 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.969 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.969 * [backup-simplify]: Simplify (+ 1 0) into 1 1.970 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 1.970 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (sqrt 0) into 0 1.971 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.972 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 1.972 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 1.973 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (sqrt 1.0)) into (sqrt 1.0) 1.974 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 1.974 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 1.975 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 1.980 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (sqrt 1.0) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (- +nan.0))) 1.983 * [backup-simplify]: Simplify (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (- +nan.0))) into (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (- +nan.0))) 1.984 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 1.984 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 1.984 * [backup-simplify]: Simplify (+ 0 0) into 0 1.988 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 1.990 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.991 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 2.014 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (sqrt 1.0) (/ (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (sqrt 1.0))) (* (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (- +nan.0))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 3/8 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0))))) 2.023 * [backup-simplify]: Simplify (- (* 3/8 (/ 1 (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- +nan.0))))) into (- (* 3/8 (/ 1 (pow (sqrt 1.0) 3))) (+ +nan.0 (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))) 2.035 * [backup-simplify]: Simplify (+ (* (- (* 3/8 (/ 1 (pow (sqrt 1.0) 3))) (+ +nan.0 (- (+ (* +nan.0 (/ 1 (sqrt 1.0))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 2)))))))) (pow x 2)) (+ (* (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (- +nan.0))) x) (sqrt 1.0))) into (- (+ (sqrt 1.0) (* 3/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 1/2 (/ x (sqrt 1.0))) (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (- (* +nan.0 x)))))))) 2.035 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))))) (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))))) into (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) 2.035 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.035 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.035 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.035 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.035 * [taylor]: Taking taylor expansion of 1.0 in x 2.035 * [backup-simplify]: Simplify 1.0 into 1.0 2.036 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.036 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.036 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.036 * [taylor]: Taking taylor expansion of x in x 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (/ 1 1) into 1 2.037 * [backup-simplify]: Simplify (sqrt 0) into 0 2.038 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.038 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.038 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.038 * [taylor]: Taking taylor expansion of 1.0 in x 2.038 * [backup-simplify]: Simplify 1.0 into 1.0 2.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.038 * [taylor]: Taking taylor expansion of x in x 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 1 into 1 2.038 * [backup-simplify]: Simplify (/ 1 1) into 1 2.038 * [backup-simplify]: Simplify (+ 0 1) into 1 2.038 * [backup-simplify]: Simplify (sqrt 0) into 0 2.039 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.040 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 2.040 * [backup-simplify]: Simplify (+ 0 0) into 0 2.040 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.042 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (- +nan.0)) into (* +nan.0 (pow (sqrt 1.0) 2)) 2.042 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.042 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.042 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.042 * [taylor]: Taking taylor expansion of 1.0 in x 2.042 * [backup-simplify]: Simplify 1.0 into 1.0 2.042 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.043 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.043 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.043 * [taylor]: Taking taylor expansion of x in x 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify 1 into 1 2.043 * [backup-simplify]: Simplify (/ 1 1) into 1 2.043 * [backup-simplify]: Simplify (sqrt 0) into 0 2.044 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.044 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.044 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.044 * [taylor]: Taking taylor expansion of 1.0 in x 2.044 * [backup-simplify]: Simplify 1.0 into 1.0 2.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.044 * [taylor]: Taking taylor expansion of x in x 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 1 into 1 2.044 * [backup-simplify]: Simplify (/ 1 1) into 1 2.044 * [backup-simplify]: Simplify (+ 0 1) into 1 2.045 * [backup-simplify]: Simplify (sqrt 0) into 0 2.045 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.046 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 2.047 * [backup-simplify]: Simplify (+ 0 0) into 0 2.047 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.048 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (- +nan.0)) into (* +nan.0 (pow (sqrt 1.0) 2)) 2.049 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 1.0) 2)) into (* +nan.0 (pow (sqrt 1.0) 2)) 2.050 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 2.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.052 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.053 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.055 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.055 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.059 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ (- +nan.0) (- +nan.0))))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 2.061 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 2.062 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.062 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 2.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.065 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.065 * [backup-simplify]: Simplify (+ 0 0) into 0 2.068 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.068 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.075 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ (- +nan.0) (- +nan.0))) (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ (- +nan.0) (- +nan.0))))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 2.077 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 2.081 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 x) 2)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ 1 x)) (* +nan.0 (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) x)) (- (* +nan.0 (pow (sqrt 1.0) 2))))))) 2.081 * [backup-simplify]: Simplify (* (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))))) (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))))) into (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 2.081 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.081 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.081 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.081 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.081 * [taylor]: Taking taylor expansion of 1.0 in x 2.081 * [backup-simplify]: Simplify 1.0 into 1.0 2.081 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.082 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.082 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.082 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.082 * [taylor]: Taking taylor expansion of -1 in x 2.082 * [backup-simplify]: Simplify -1 into -1 2.082 * [taylor]: Taking taylor expansion of x in x 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify 1 into 1 2.082 * [backup-simplify]: Simplify (/ -1 1) into -1 2.082 * [backup-simplify]: Simplify (sqrt 0) into 0 2.083 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.083 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.083 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.083 * [taylor]: Taking taylor expansion of 1.0 in x 2.083 * [backup-simplify]: Simplify 1.0 into 1.0 2.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.083 * [taylor]: Taking taylor expansion of x in x 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 1 into 1 2.084 * [backup-simplify]: Simplify (/ 1 1) into 1 2.084 * [backup-simplify]: Simplify (- 1) into -1 2.084 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.084 * [backup-simplify]: Simplify (sqrt 0) into 0 2.085 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.086 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 2.086 * [backup-simplify]: Simplify (+ 0 0) into 0 2.086 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.088 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (- +nan.0)) into (* +nan.0 (pow (sqrt 1.0) 2)) 2.088 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.088 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.088 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.088 * [taylor]: Taking taylor expansion of 1.0 in x 2.088 * [backup-simplify]: Simplify 1.0 into 1.0 2.088 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.088 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.088 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.088 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.088 * [taylor]: Taking taylor expansion of -1 in x 2.088 * [backup-simplify]: Simplify -1 into -1 2.088 * [taylor]: Taking taylor expansion of x in x 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify 1 into 1 2.089 * [backup-simplify]: Simplify (/ -1 1) into -1 2.089 * [backup-simplify]: Simplify (sqrt 0) into 0 2.090 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.090 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.090 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.090 * [taylor]: Taking taylor expansion of 1.0 in x 2.090 * [backup-simplify]: Simplify 1.0 into 1.0 2.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.090 * [taylor]: Taking taylor expansion of x in x 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [backup-simplify]: Simplify (/ 1 1) into 1 2.090 * [backup-simplify]: Simplify (- 1) into -1 2.091 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.091 * [backup-simplify]: Simplify (sqrt 0) into 0 2.092 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.092 * [backup-simplify]: Simplify (* (sqrt 1.0) (sqrt 1.0)) into (pow (sqrt 1.0) 2) 2.093 * [backup-simplify]: Simplify (+ 0 0) into 0 2.100 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.101 * [backup-simplify]: Simplify (/ (pow (sqrt 1.0) 2) (- +nan.0)) into (* +nan.0 (pow (sqrt 1.0) 2)) 2.102 * [backup-simplify]: Simplify (* +nan.0 (pow (sqrt 1.0) 2)) into (* +nan.0 (pow (sqrt 1.0) 2)) 2.103 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (* 0 (sqrt 1.0))) into 0 2.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.105 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.106 * [backup-simplify]: Simplify (- 0) into 0 2.106 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.108 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.108 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.112 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ (- +nan.0) (- +nan.0))))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 2.114 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 2.115 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.115 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 0 0) (* 0 (sqrt 1.0)))) into 0 2.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.118 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.119 * [backup-simplify]: Simplify (- 0) into 0 2.119 * [backup-simplify]: Simplify (+ 0 0) into 0 2.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.121 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.128 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* (* +nan.0 (pow (sqrt 1.0) 2)) (/ (- +nan.0) (- +nan.0))) (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ (- +nan.0) (- +nan.0))))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 2.130 * [backup-simplify]: Simplify (- (* +nan.0 (pow (sqrt 1.0) 2))) into (- (* +nan.0 (pow (sqrt 1.0) 2))) 2.134 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (pow (/ 1 (- x)) 2)) (+ (* (- (* +nan.0 (pow (sqrt 1.0) 2))) (/ 1 (- x))) (* +nan.0 (pow (sqrt 1.0) 2)))) into (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) x)) (- (* +nan.0 (pow (sqrt 1.0) 2))))))) 2.134 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.134 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 2.134 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.134 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.134 * [taylor]: Taking taylor expansion of 1.0 in x 2.134 * [backup-simplify]: Simplify 1.0 into 1.0 2.134 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.134 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.134 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.134 * [taylor]: Taking taylor expansion of x in x 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [taylor]: Taking taylor expansion of 1.0 in x 2.134 * [backup-simplify]: Simplify 1.0 into 1.0 2.135 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.135 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.135 * [backup-simplify]: Simplify (+ 1 0) into 1 2.136 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.136 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.136 * [taylor]: Taking taylor expansion of x in x 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify (sqrt 0) into 0 2.137 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.138 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.138 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 2.138 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.138 * [taylor]: Taking taylor expansion of 1.0 in x 2.138 * [backup-simplify]: Simplify 1.0 into 1.0 2.138 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.138 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.138 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.138 * [taylor]: Taking taylor expansion of x in x 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 1 into 1 2.138 * [taylor]: Taking taylor expansion of 1.0 in x 2.138 * [backup-simplify]: Simplify 1.0 into 1.0 2.139 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.139 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.139 * [backup-simplify]: Simplify (+ 1 0) into 1 2.140 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.140 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.140 * [taylor]: Taking taylor expansion of x in x 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 1 into 1 2.140 * [backup-simplify]: Simplify (sqrt 0) into 0 2.141 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.142 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.142 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 2.143 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 2.144 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 2.149 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 2.154 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 2.154 * [backup-simplify]: Simplify (+ 0 0) into 0 2.158 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.160 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.161 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 2.182 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (sqrt 1.0))) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 2.202 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 2.221 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) (pow x 2)) (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) 2.221 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) 2.221 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.221 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.221 * [taylor]: Taking taylor expansion of 1.0 in x 2.221 * [backup-simplify]: Simplify 1.0 into 1.0 2.221 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.221 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.221 * [taylor]: Taking taylor expansion of x in x 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 1 into 1 2.221 * [backup-simplify]: Simplify (/ 1 1) into 1 2.222 * [backup-simplify]: Simplify (sqrt 0) into 0 2.222 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.222 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.222 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.222 * [taylor]: Taking taylor expansion of 1.0 in x 2.222 * [backup-simplify]: Simplify 1.0 into 1.0 2.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.223 * [taylor]: Taking taylor expansion of x in x 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 1 into 1 2.223 * [backup-simplify]: Simplify (/ 1 1) into 1 2.223 * [backup-simplify]: Simplify (+ 0 1) into 1 2.223 * [backup-simplify]: Simplify (sqrt 0) into 0 2.224 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.224 * [backup-simplify]: Simplify (+ 0 0) into 0 2.224 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.225 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 2.225 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.225 * [taylor]: Taking taylor expansion of 1.0 in x 2.225 * [backup-simplify]: Simplify 1.0 into 1.0 2.225 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.225 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.225 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.225 * [taylor]: Taking taylor expansion of x in x 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify 1 into 1 2.225 * [backup-simplify]: Simplify (/ 1 1) into 1 2.226 * [backup-simplify]: Simplify (sqrt 0) into 0 2.226 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.226 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.226 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.226 * [taylor]: Taking taylor expansion of 1.0 in x 2.226 * [backup-simplify]: Simplify 1.0 into 1.0 2.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.226 * [taylor]: Taking taylor expansion of x in x 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify 1 into 1 2.227 * [backup-simplify]: Simplify (/ 1 1) into 1 2.227 * [backup-simplify]: Simplify (+ 0 1) into 1 2.227 * [backup-simplify]: Simplify (sqrt 0) into 0 2.228 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.228 * [backup-simplify]: Simplify (+ 0 0) into 0 2.228 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.229 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 2.229 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.231 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.232 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.234 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.234 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.236 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.237 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.240 * [backup-simplify]: Simplify (+ 0 0) into 0 2.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.242 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.246 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.246 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.247 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 2.247 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 2.247 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.247 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.247 * [taylor]: Taking taylor expansion of 1.0 in x 2.247 * [backup-simplify]: Simplify 1.0 into 1.0 2.247 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.247 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.247 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.247 * [taylor]: Taking taylor expansion of -1 in x 2.247 * [backup-simplify]: Simplify -1 into -1 2.247 * [taylor]: Taking taylor expansion of x in x 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 1 into 1 2.247 * [backup-simplify]: Simplify (/ -1 1) into -1 2.247 * [backup-simplify]: Simplify (sqrt 0) into 0 2.248 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.248 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.248 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.248 * [taylor]: Taking taylor expansion of 1.0 in x 2.248 * [backup-simplify]: Simplify 1.0 into 1.0 2.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.248 * [taylor]: Taking taylor expansion of x in x 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify 1 into 1 2.249 * [backup-simplify]: Simplify (/ 1 1) into 1 2.249 * [backup-simplify]: Simplify (- 1) into -1 2.249 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.249 * [backup-simplify]: Simplify (sqrt 0) into 0 2.250 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.250 * [backup-simplify]: Simplify (+ 0 0) into 0 2.251 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.251 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 2.251 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.251 * [taylor]: Taking taylor expansion of 1.0 in x 2.251 * [backup-simplify]: Simplify 1.0 into 1.0 2.251 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.251 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.251 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.251 * [taylor]: Taking taylor expansion of -1 in x 2.251 * [backup-simplify]: Simplify -1 into -1 2.251 * [taylor]: Taking taylor expansion of x in x 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 1 into 1 2.252 * [backup-simplify]: Simplify (/ -1 1) into -1 2.252 * [backup-simplify]: Simplify (sqrt 0) into 0 2.253 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.253 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.253 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.253 * [taylor]: Taking taylor expansion of 1.0 in x 2.253 * [backup-simplify]: Simplify 1.0 into 1.0 2.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.253 * [taylor]: Taking taylor expansion of x in x 2.253 * [backup-simplify]: Simplify 0 into 0 2.253 * [backup-simplify]: Simplify 1 into 1 2.253 * [backup-simplify]: Simplify (/ 1 1) into 1 2.253 * [backup-simplify]: Simplify (- 1) into -1 2.253 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.254 * [backup-simplify]: Simplify (sqrt 0) into 0 2.254 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.255 * [backup-simplify]: Simplify (+ 0 0) into 0 2.255 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.255 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 2.255 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.258 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.258 * [backup-simplify]: Simplify (- 0) into 0 2.259 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.261 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.261 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.263 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.263 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.267 * [backup-simplify]: Simplify (- 0) into 0 2.267 * [backup-simplify]: Simplify (+ 0 0) into 0 2.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.269 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.272 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.273 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.273 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 2.274 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.274 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) into (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 2.274 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.274 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.274 * [taylor]: Taking taylor expansion of 1.0 in x 2.274 * [backup-simplify]: Simplify 1.0 into 1.0 2.274 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.274 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.274 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.274 * [taylor]: Taking taylor expansion of x in x 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify 1 into 1 2.274 * [taylor]: Taking taylor expansion of 1.0 in x 2.274 * [backup-simplify]: Simplify 1.0 into 1.0 2.274 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.274 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.275 * [backup-simplify]: Simplify (+ 1 0) into 1 2.276 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.276 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.276 * [taylor]: Taking taylor expansion of x in x 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify 1 into 1 2.276 * [backup-simplify]: Simplify (sqrt 0) into 0 2.277 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.277 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.284 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 2.284 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.284 * [taylor]: Taking taylor expansion of 1.0 in x 2.284 * [backup-simplify]: Simplify 1.0 into 1.0 2.284 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.284 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.284 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.284 * [taylor]: Taking taylor expansion of x in x 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify 1 into 1 2.284 * [taylor]: Taking taylor expansion of 1.0 in x 2.284 * [backup-simplify]: Simplify 1.0 into 1.0 2.285 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.285 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.285 * [backup-simplify]: Simplify (+ 1 0) into 1 2.286 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.286 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.286 * [taylor]: Taking taylor expansion of x in x 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 1 into 1 2.287 * [backup-simplify]: Simplify (sqrt 0) into 0 2.287 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.288 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.288 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 2.289 * [backup-simplify]: Simplify (/ 1.0 (sqrt 1.0)) into (/ 1.0 (sqrt 1.0)) 2.290 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 2.296 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 2.301 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) 2.301 * [backup-simplify]: Simplify (+ 0 0) into 0 2.304 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.306 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.308 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 2.329 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1.0)) (+ (* (/ 1.0 (sqrt 1.0)) (/ (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (sqrt 1.0))) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 2.342 * [backup-simplify]: Simplify (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) into (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 2.361 * [backup-simplify]: Simplify (+ (* (- (* 0.375 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) (pow x 2)) (+ (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 0.5 (/ 1 (pow (sqrt 1.0) 3))))) x) (/ 1.0 (sqrt 1.0)))) into (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) 2.362 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x)))) into (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) 2.362 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.362 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.362 * [taylor]: Taking taylor expansion of 1.0 in x 2.362 * [backup-simplify]: Simplify 1.0 into 1.0 2.362 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.362 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.362 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.362 * [taylor]: Taking taylor expansion of x in x 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 1 into 1 2.362 * [backup-simplify]: Simplify (/ 1 1) into 1 2.362 * [backup-simplify]: Simplify (sqrt 0) into 0 2.363 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.363 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.363 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.363 * [taylor]: Taking taylor expansion of 1.0 in x 2.363 * [backup-simplify]: Simplify 1.0 into 1.0 2.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.363 * [taylor]: Taking taylor expansion of x in x 2.363 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify 1 into 1 2.364 * [backup-simplify]: Simplify (/ 1 1) into 1 2.364 * [backup-simplify]: Simplify (+ 0 1) into 1 2.364 * [backup-simplify]: Simplify (sqrt 0) into 0 2.365 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.365 * [backup-simplify]: Simplify (+ 0 0) into 0 2.365 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.366 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 2.366 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.366 * [taylor]: Taking taylor expansion of 1.0 in x 2.366 * [backup-simplify]: Simplify 1.0 into 1.0 2.366 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.366 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.366 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.366 * [taylor]: Taking taylor expansion of x in x 2.366 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify 1 into 1 2.366 * [backup-simplify]: Simplify (/ 1 1) into 1 2.367 * [backup-simplify]: Simplify (sqrt 0) into 0 2.367 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.367 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.367 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.367 * [taylor]: Taking taylor expansion of 1.0 in x 2.367 * [backup-simplify]: Simplify 1.0 into 1.0 2.367 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.367 * [taylor]: Taking taylor expansion of x in x 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 1 into 1 2.368 * [backup-simplify]: Simplify (/ 1 1) into 1 2.368 * [backup-simplify]: Simplify (+ 0 1) into 1 2.368 * [backup-simplify]: Simplify (sqrt 0) into 0 2.376 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.376 * [backup-simplify]: Simplify (+ 0 0) into 0 2.377 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.377 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 2.377 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.380 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.380 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.382 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.382 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.384 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.385 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.387 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.388 * [backup-simplify]: Simplify (+ 0 0) into 0 2.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.391 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.394 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.394 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.395 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 2.395 * [backup-simplify]: Simplify (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x))))) into (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) 2.395 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.395 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.395 * [taylor]: Taking taylor expansion of 1.0 in x 2.395 * [backup-simplify]: Simplify 1.0 into 1.0 2.395 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.395 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.395 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.396 * [taylor]: Taking taylor expansion of -1 in x 2.396 * [backup-simplify]: Simplify -1 into -1 2.396 * [taylor]: Taking taylor expansion of x in x 2.396 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify 1 into 1 2.396 * [backup-simplify]: Simplify (/ -1 1) into -1 2.396 * [backup-simplify]: Simplify (sqrt 0) into 0 2.397 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.397 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.397 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.397 * [taylor]: Taking taylor expansion of 1.0 in x 2.397 * [backup-simplify]: Simplify 1.0 into 1.0 2.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.397 * [taylor]: Taking taylor expansion of x in x 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify 1 into 1 2.397 * [backup-simplify]: Simplify (/ 1 1) into 1 2.397 * [backup-simplify]: Simplify (- 1) into -1 2.398 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.398 * [backup-simplify]: Simplify (sqrt 0) into 0 2.399 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.399 * [backup-simplify]: Simplify (+ 0 0) into 0 2.399 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.400 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 2.400 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.400 * [taylor]: Taking taylor expansion of 1.0 in x 2.400 * [backup-simplify]: Simplify 1.0 into 1.0 2.400 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.400 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.400 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.400 * [taylor]: Taking taylor expansion of -1 in x 2.400 * [backup-simplify]: Simplify -1 into -1 2.400 * [taylor]: Taking taylor expansion of x in x 2.400 * [backup-simplify]: Simplify 0 into 0 2.400 * [backup-simplify]: Simplify 1 into 1 2.400 * [backup-simplify]: Simplify (/ -1 1) into -1 2.400 * [backup-simplify]: Simplify (sqrt 0) into 0 2.401 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.401 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.401 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.401 * [taylor]: Taking taylor expansion of 1.0 in x 2.401 * [backup-simplify]: Simplify 1.0 into 1.0 2.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.401 * [taylor]: Taking taylor expansion of x in x 2.401 * [backup-simplify]: Simplify 0 into 0 2.401 * [backup-simplify]: Simplify 1 into 1 2.402 * [backup-simplify]: Simplify (/ 1 1) into 1 2.402 * [backup-simplify]: Simplify (- 1) into -1 2.402 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.402 * [backup-simplify]: Simplify (sqrt 0) into 0 2.403 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.403 * [backup-simplify]: Simplify (+ 0 0) into 0 2.404 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.404 * [backup-simplify]: Simplify (/ 1.0 (- +nan.0)) into +nan.0 2.404 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.406 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.407 * [backup-simplify]: Simplify (- 0) into 0 2.407 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.409 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.410 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.412 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.412 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.415 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.416 * [backup-simplify]: Simplify (- 0) into 0 2.416 * [backup-simplify]: Simplify (+ 0 0) into 0 2.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.418 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.422 * [backup-simplify]: Simplify (- (/ 0 (- +nan.0)) (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.422 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.423 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 2.423 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.423 * [backup-simplify]: Simplify (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) into (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) 2.423 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in (x) around 0 2.423 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 2.423 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.423 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.423 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.423 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.423 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.423 * [taylor]: Taking taylor expansion of x in x 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify 1 into 1 2.423 * [taylor]: Taking taylor expansion of 1.0 in x 2.423 * [backup-simplify]: Simplify 1.0 into 1.0 2.424 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.424 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.424 * [backup-simplify]: Simplify (+ 1 0) into 1 2.425 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.425 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.425 * [taylor]: Taking taylor expansion of x in x 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify 1 into 1 2.426 * [backup-simplify]: Simplify (sqrt 0) into 0 2.426 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.427 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.428 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 2.429 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 1.0))) into (sqrt (/ 1 (sqrt 1.0))) 2.430 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 2.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) 2.443 * [backup-simplify]: Simplify (/ (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))))) 2.443 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.443 * [taylor]: Taking taylor expansion of 1.0 in x 2.443 * [backup-simplify]: Simplify 1.0 into 1.0 2.443 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.443 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 2.443 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.443 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.444 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.444 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.444 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.444 * [taylor]: Taking taylor expansion of x in x 2.444 * [backup-simplify]: Simplify 0 into 0 2.444 * [backup-simplify]: Simplify 1 into 1 2.444 * [taylor]: Taking taylor expansion of 1.0 in x 2.444 * [backup-simplify]: Simplify 1.0 into 1.0 2.444 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.444 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.444 * [backup-simplify]: Simplify (+ 1 0) into 1 2.445 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1.0))) into (/ 1/2 (sqrt 1.0)) 2.445 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.445 * [taylor]: Taking taylor expansion of x in x 2.445 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify 1 into 1 2.446 * [backup-simplify]: Simplify (sqrt 0) into 0 2.447 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.447 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 2.448 * [backup-simplify]: Simplify (/ 1 (sqrt 1.0)) into (/ 1 (sqrt 1.0)) 2.449 * [backup-simplify]: Simplify (sqrt (/ 1 (sqrt 1.0))) into (sqrt (/ 1 (sqrt 1.0))) 2.450 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt 1.0)) +nan.0) into (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) 2.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) 2.463 * [backup-simplify]: Simplify (/ (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))))) 2.463 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.463 * [taylor]: Taking taylor expansion of 1.0 in x 2.463 * [backup-simplify]: Simplify 1.0 into 1.0 2.463 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.472 * [backup-simplify]: Simplify (* (sqrt (/ 1 (sqrt 1.0))) (sqrt 1.0)) into (sqrt (sqrt 1.0)) 2.473 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 2.484 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 1.0))) 0) (* (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))))) (sqrt 1.0))) into (- (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (* 1/4 (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) 2.489 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (* 1/4 (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) into (- (+ (* 1/4 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (* +nan.0 (sqrt (/ 1 (sqrt 1.0))))))) 2.490 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.490 * [backup-simplify]: Simplify (+ 0 0) into 0 2.494 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -1/8 (pow (sqrt 1.0) 3)) 2.496 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.497 * [backup-simplify]: Simplify (+ (/ -1/8 (pow (sqrt 1.0) 3)) +nan.0) into (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) 2.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 (sqrt 1.0)) (/ (- (+ +nan.0 (* 1/8 (/ 1 (pow (sqrt 1.0) 3))))) (sqrt 1.0))) (* (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3))))) (/ (- (* 1/2 (/ 1 (sqrt 1.0))) +nan.0) (sqrt 1.0))))) into (- (* 3/8 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) 2.550 * [backup-simplify]: Simplify (/ (- (- (* 3/8 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))) (pow (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))))) 2) (+)) (* 2 (sqrt (/ 1 (sqrt 1.0))))) into (* 1/2 (* (sqrt (sqrt 1.0)) (- (* 5/16 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))))) 2.593 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (sqrt 1.0))) 0) (+ (* (* -1/2 (* (sqrt (sqrt 1.0)) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (* 1/2 (/ 1 (pow (sqrt 1.0) 3)))))) 0) (* (* 1/2 (* (sqrt (sqrt 1.0)) (- (* 5/16 (/ 1 (pow (sqrt 1.0) 5))) (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ 1 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ 1 (pow (sqrt 1.0) 3)))))))))) (sqrt 1.0)))) into (- (* 5/32 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5)))) (- (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3))))))))) 2.607 * [backup-simplify]: Simplify (- (* 5/32 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5)))) (- (+ (* +nan.0 (sqrt (/ 1 (sqrt 1.0)))) (- (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3))))))))) into (- (* 5/32 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (* +nan.0 (sqrt (/ 1 (sqrt 1.0))))))))) 2.629 * [backup-simplify]: Simplify (+ (* (- (* 5/32 (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 5)))) (- (+ (* +nan.0 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (* +nan.0 (sqrt (/ 1 (sqrt 1.0))))))))) (pow x 2)) (+ (* (- (+ (* 1/4 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (- (* +nan.0 (sqrt (/ 1 (sqrt 1.0))))))) x) (sqrt (sqrt 1.0)))) into (- (+ (* 5/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7))))) (sqrt (sqrt 1.0))) (+ (* 1/4 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (- (+ (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (sqrt 1.0))))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 5)))))))))))))) 2.629 * [backup-simplify]: Simplify (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 x) 1.0)) (sqrt (/ 1 x))))) into (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) 2.629 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 2.629 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.629 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.629 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.629 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.629 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.629 * [taylor]: Taking taylor expansion of x in x 2.629 * [backup-simplify]: Simplify 0 into 0 2.629 * [backup-simplify]: Simplify 1 into 1 2.630 * [backup-simplify]: Simplify (/ 1 1) into 1 2.630 * [backup-simplify]: Simplify (sqrt 0) into 0 2.631 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.631 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.631 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.631 * [taylor]: Taking taylor expansion of 1.0 in x 2.631 * [backup-simplify]: Simplify 1.0 into 1.0 2.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.631 * [taylor]: Taking taylor expansion of x in x 2.631 * [backup-simplify]: Simplify 0 into 0 2.631 * [backup-simplify]: Simplify 1 into 1 2.631 * [backup-simplify]: Simplify (/ 1 1) into 1 2.631 * [backup-simplify]: Simplify (+ 0 1) into 1 2.632 * [backup-simplify]: Simplify (sqrt 0) into 0 2.632 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.633 * [backup-simplify]: Simplify (+ 0 0) into 0 2.633 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.633 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 2.634 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.636 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.636 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.638 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.638 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.640 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.648 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 2.648 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.648 * [taylor]: Taking taylor expansion of 1.0 in x 2.648 * [backup-simplify]: Simplify 1.0 into 1.0 2.649 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.649 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.649 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.649 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.649 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.649 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.649 * [taylor]: Taking taylor expansion of x in x 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.650 * [backup-simplify]: Simplify (/ 1 1) into 1 2.650 * [backup-simplify]: Simplify (sqrt 0) into 0 2.651 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.651 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.651 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.651 * [taylor]: Taking taylor expansion of 1.0 in x 2.651 * [backup-simplify]: Simplify 1.0 into 1.0 2.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.651 * [taylor]: Taking taylor expansion of x in x 2.651 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify 1 into 1 2.651 * [backup-simplify]: Simplify (/ 1 1) into 1 2.651 * [backup-simplify]: Simplify (+ 0 1) into 1 2.651 * [backup-simplify]: Simplify (sqrt 0) into 0 2.652 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.652 * [backup-simplify]: Simplify (+ 0 0) into 0 2.653 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.653 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 2.653 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.656 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.656 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.658 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.658 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.660 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.661 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 2.661 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.661 * [taylor]: Taking taylor expansion of 1.0 in x 2.661 * [backup-simplify]: Simplify 1.0 into 1.0 2.662 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.663 * [backup-simplify]: Simplify (* (sqrt +nan.0) (sqrt 1.0)) into (* (sqrt +nan.0) (sqrt 1.0)) 2.664 * [backup-simplify]: Simplify (* (sqrt +nan.0) (sqrt 1.0)) into (* (sqrt +nan.0) (sqrt 1.0)) 2.666 * [backup-simplify]: Simplify (+ (* (sqrt +nan.0) 0) (* (/ +nan.0 (sqrt +nan.0)) (sqrt 1.0))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 2.667 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 2.668 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.671 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.672 * [backup-simplify]: Simplify (+ 0 0) into 0 2.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.674 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.677 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.680 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.689 * [backup-simplify]: Simplify (+ (* (sqrt +nan.0) 0) (+ (* (/ +nan.0 (sqrt +nan.0)) 0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt 1.0)))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 2.695 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 2.703 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) (pow (/ 1 x) 2)) (+ (* (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) (/ 1 x)) (* (sqrt +nan.0) (sqrt 1.0)))) into (- (* (sqrt +nan.0) (sqrt 1.0)) (+ (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow x 2)))) (- (+ (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) x))) (- (* +nan.0 (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow x 2))))))))) 2.703 * [backup-simplify]: Simplify (sqrt (/ 1.0 (+ (sqrt (+ (/ 1 (- x)) 1.0)) (sqrt (/ 1 (- x)))))) into (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) 2.703 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 2.703 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.703 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.703 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.703 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.703 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.703 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.703 * [taylor]: Taking taylor expansion of -1 in x 2.703 * [backup-simplify]: Simplify -1 into -1 2.703 * [taylor]: Taking taylor expansion of x in x 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify 1 into 1 2.703 * [backup-simplify]: Simplify (/ -1 1) into -1 2.704 * [backup-simplify]: Simplify (sqrt 0) into 0 2.704 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.704 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.704 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.705 * [taylor]: Taking taylor expansion of 1.0 in x 2.705 * [backup-simplify]: Simplify 1.0 into 1.0 2.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.705 * [taylor]: Taking taylor expansion of x in x 2.705 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify 1 into 1 2.705 * [backup-simplify]: Simplify (/ 1 1) into 1 2.705 * [backup-simplify]: Simplify (- 1) into -1 2.705 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.706 * [backup-simplify]: Simplify (sqrt 0) into 0 2.706 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.706 * [backup-simplify]: Simplify (+ 0 0) into 0 2.707 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.707 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 2.707 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.710 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.710 * [backup-simplify]: Simplify (- 0) into 0 2.710 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.712 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.713 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.714 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.716 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 2.716 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.716 * [taylor]: Taking taylor expansion of 1.0 in x 2.716 * [backup-simplify]: Simplify 1.0 into 1.0 2.716 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.716 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.716 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.716 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.716 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.716 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.716 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.716 * [taylor]: Taking taylor expansion of -1 in x 2.716 * [backup-simplify]: Simplify -1 into -1 2.716 * [taylor]: Taking taylor expansion of x in x 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify 1 into 1 2.717 * [backup-simplify]: Simplify (/ -1 1) into -1 2.717 * [backup-simplify]: Simplify (sqrt 0) into 0 2.718 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.718 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.718 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.718 * [taylor]: Taking taylor expansion of 1.0 in x 2.718 * [backup-simplify]: Simplify 1.0 into 1.0 2.718 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.718 * [taylor]: Taking taylor expansion of x in x 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify 1 into 1 2.718 * [backup-simplify]: Simplify (/ 1 1) into 1 2.718 * [backup-simplify]: Simplify (- 1) into -1 2.718 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.719 * [backup-simplify]: Simplify (sqrt 0) into 0 2.719 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.720 * [backup-simplify]: Simplify (+ 0 0) into 0 2.720 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.720 * [backup-simplify]: Simplify (/ 1 (- +nan.0)) into +nan.0 2.721 * [backup-simplify]: Simplify (sqrt +nan.0) into (sqrt +nan.0) 2.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.723 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.723 * [backup-simplify]: Simplify (- 0) into 0 2.724 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.725 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.726 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.727 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.729 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 2.729 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.729 * [taylor]: Taking taylor expansion of 1.0 in x 2.729 * [backup-simplify]: Simplify 1.0 into 1.0 2.729 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 2.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 2.730 * [backup-simplify]: Simplify (* (sqrt +nan.0) (sqrt 1.0)) into (* (sqrt +nan.0) (sqrt 1.0)) 2.731 * [backup-simplify]: Simplify (* (sqrt +nan.0) (sqrt 1.0)) into (* (sqrt +nan.0) (sqrt 1.0)) 2.733 * [backup-simplify]: Simplify (+ (* (sqrt +nan.0) 0) (* (/ +nan.0 (sqrt +nan.0)) (sqrt 1.0))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 2.741 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) into (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) 2.742 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 2.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.744 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.745 * [backup-simplify]: Simplify (- 0) into 0 2.745 * [backup-simplify]: Simplify (+ 0 0) into 0 2.748 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.748 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 2.751 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) (- +nan.0))) (* (- +nan.0) (/ (- +nan.0) (- +nan.0))))) into (- +nan.0) 2.754 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 2.763 * [backup-simplify]: Simplify (+ (* (sqrt +nan.0) 0) (+ (* (/ +nan.0 (sqrt +nan.0)) 0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (sqrt 1.0)))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 2.769 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) 2.778 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ (sqrt 1.0) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* +nan.0 (/ (sqrt 1.0) (sqrt +nan.0)))) (/ 1 (- x))) (* (sqrt +nan.0) (sqrt 1.0)))) into (- (* (sqrt +nan.0) (sqrt 1.0)) (+ (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow x 2)))) (- (+ (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) x))) (- (* +nan.0 (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow x 2))))))))) 2.778 * * * [progress]: simplifying candidates 2.783 * [simplify]: Simplifying: (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (+ 1 1) (+ (log (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (exp (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (* (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))))) (cbrt (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (* (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (* (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (/ 1.0 (+ 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2))))))))) 2.798 * * [simplify]: iteration 0 : 647 enodes (cost 2845 ) 2.812 * * [simplify]: iteration 1 : 3152 enodes (cost 2529 ) 2.870 * * [simplify]: iteration 2 : 5002 enodes (cost 2489 ) 2.881 * * * [progress]: adding candidates to table 3.388 * [progress]: [Phase 3 of 3] Extracting. 3.388 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 3.391 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.391 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 3.425 * * * [regime]: Found split indices: #