5.587 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.048 * [progress]: [Phase 2 of 3] Improving. 0.048 * [simplify]: Simplifying: (log (+ x (sqrt (- (* x x) 1.0)))) 0.048 * [simplify]: Sending expressions to egg_math: (log (+ h1 (sqrt (- (* h1 h1) h0)))) 0.050 * * [simplify]: iteration 0 : 10 enodes (cost 5 ) 0.051 * * [simplify]: iteration 1 : 11 enodes (cost 5 ) 0.052 * * [simplify]: iteration 2 : 11 enodes (cost 5 ) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.054 * * * * [pick]: Picked # 0.054 * * * [progress]: localizing error 0.061 * * * [progress]: generating rewritten candidates 0.061 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.071 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.088 * * * [progress]: generating series expansions 0.088 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.089 * [backup-simplify]: Simplify (sqrt (- (* x x) 1.0)) into (sqrt (- (pow x 2) 1.0)) 0.089 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in (x) around 0 0.089 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.089 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [taylor]: Taking taylor expansion of 1.0 in x 0.089 * [backup-simplify]: Simplify 1.0 into 1.0 0.089 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.090 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.090 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.091 * [backup-simplify]: Simplify (- 0) into 0 0.091 * [backup-simplify]: Simplify (+ 0 0) into 0 0.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.091 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.091 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [backup-simplify]: Simplify 1.0 into 1.0 0.092 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.092 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.092 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.093 * [backup-simplify]: Simplify (- 0) into 0 0.093 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.094 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.094 * [backup-simplify]: Simplify 0 into 0 0.094 * [backup-simplify]: Simplify (* 1 1) into 1 0.094 * [backup-simplify]: Simplify (- 0) into 0 0.095 * [backup-simplify]: Simplify (+ 1 0) into 1 0.096 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.097 * [backup-simplify]: Simplify (/ 1/2 (sqrt (- 1.0))) into (/ 1/2 (sqrt (- 1.0))) 0.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.098 * [backup-simplify]: Simplify (- 0) into 0 0.098 * [backup-simplify]: Simplify (+ 0 0) into 0 0.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (- 1.0))))))) (* 2 (sqrt (- 1.0)))) into 0 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.100 * [backup-simplify]: Simplify (- 0) into 0 0.100 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (- 1.0))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (- 1.0)))) into (/ -1/8 (pow (sqrt (- 1.0)) 3)) 0.108 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (- 1.0)) 3)) into (/ -1/8 (pow (sqrt (- 1.0)) 3)) 0.111 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt (- 1.0)) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt (- 1.0))) (pow x 2)) (sqrt (- 1.0)))) into (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) 0.111 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.111 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.111 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.111 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (* 1 1) into 1 0.111 * [backup-simplify]: Simplify (/ 1 1) into 1 0.112 * [taylor]: Taking taylor expansion of 1.0 in x 0.112 * [backup-simplify]: Simplify 1.0 into 1.0 0.112 * [backup-simplify]: Simplify (+ 1 0) into 1 0.112 * [backup-simplify]: Simplify (sqrt 1) into 1 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.113 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.113 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (* 1 1) into 1 0.114 * [backup-simplify]: Simplify (/ 1 1) into 1 0.114 * [taylor]: Taking taylor expansion of 1.0 in x 0.114 * [backup-simplify]: Simplify 1.0 into 1.0 0.114 * [backup-simplify]: Simplify (+ 1 0) into 1 0.115 * [backup-simplify]: Simplify (sqrt 1) into 1 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.117 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.118 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.119 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.119 * [backup-simplify]: Simplify -0.5 into -0.5 0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (- 0) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.121 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (- 0) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.125 * [backup-simplify]: Simplify -0.125 into -0.125 0.125 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 x) 3)) (+ (* -0.5 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) 0.126 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0)) into (sqrt (- (/ 1 (pow x 2)) 1.0)) 0.126 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in (x) around 0 0.126 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.126 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (* 1 1) into 1 0.126 * [backup-simplify]: Simplify (/ 1 1) into 1 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [backup-simplify]: Simplify 1.0 into 1.0 0.127 * [backup-simplify]: Simplify (+ 1 0) into 1 0.127 * [backup-simplify]: Simplify (sqrt 1) into 1 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.128 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.128 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [backup-simplify]: Simplify 1.0 into 1.0 0.129 * [backup-simplify]: Simplify (+ 1 0) into 1 0.129 * [backup-simplify]: Simplify (sqrt 1) into 1 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.132 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.134 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.134 * [backup-simplify]: Simplify -0.5 into -0.5 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (- 0) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.139 * [backup-simplify]: Simplify -0.125 into -0.125 0.140 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 (- x)) 3)) (+ (* -0.5 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) 0.140 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.140 * [backup-simplify]: Simplify (+ x (sqrt (- (* x x) 1.0))) into (+ (sqrt (- (pow x 2) 1.0)) x) 0.140 * [approximate]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in (x) around 0 0.140 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.140 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.140 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.140 * [taylor]: Taking taylor expansion of (pow x 2) in x 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 * [taylor]: Taking taylor expansion of 1.0 in x 0.140 * [backup-simplify]: Simplify 1.0 into 1.0 0.140 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.141 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.141 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.141 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [taylor]: Taking taylor expansion of (+ (sqrt (- (pow x 2) 1.0)) x) in x 0.142 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1.0)) in x 0.142 * [taylor]: Taking taylor expansion of (- (pow x 2) 1.0) in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [backup-simplify]: Simplify 1.0 into 1.0 0.142 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.143 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.143 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.144 * [backup-simplify]: Simplify (- 0) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (- 1.0)))) into 0 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (+ (sqrt (- 1.0)) 0) into (sqrt (- 1.0)) 0.145 * [backup-simplify]: Simplify (sqrt (- 1.0)) into (sqrt (- 1.0)) 0.146 * [backup-simplify]: Simplify (+ 0 1) into 1 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (* 1 1) into 1 0.146 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify (+ 1 0) into 1 0.148 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.149 * [backup-simplify]: Simplify (+ (/ 1/2 (sqrt (- 1.0))) 0) into (* 1/2 (/ 1 (sqrt (- 1.0)))) 0.151 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (- 1.0)))) into (/ 1/2 (sqrt (- 1.0))) 0.152 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt (- 1.0))) (pow x 2)) (+ (* 1 x) (sqrt (- 1.0)))) into (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) 0.152 * [backup-simplify]: Simplify (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1.0))) into (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) 0.152 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.152 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.152 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.152 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (* 1 1) into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [backup-simplify]: Simplify 1.0 into 1.0 0.153 * [backup-simplify]: Simplify (+ 1 0) into 1 0.153 * [backup-simplify]: Simplify (sqrt 1) into 1 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.155 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.155 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (* 1 1) into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.155 * [backup-simplify]: Simplify 1.0 into 1.0 0.156 * [backup-simplify]: Simplify (+ 1 0) into 1 0.156 * [backup-simplify]: Simplify (sqrt 1) into 1 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [backup-simplify]: Simplify (+ 1 1) into 2 0.158 * [backup-simplify]: Simplify 2 into 2 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.160 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.162 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.163 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (- 0) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ -0.125 0) into (- 0.125) 0.170 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.171 * [backup-simplify]: Simplify (+ (* (- 0.125) (pow (/ 1 x) 3)) (+ (* (- 0.5) (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) 0.171 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1.0))) into (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) 0.171 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in (x) around 0 0.171 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.171 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.171 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (* 1 1) into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.172 * [backup-simplify]: Simplify 1.0 into 1.0 0.172 * [backup-simplify]: Simplify (+ 1 0) into 1 0.172 * [backup-simplify]: Simplify (sqrt 1) into 1 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1.0)) (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1.0)) in x 0.174 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1.0) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (* 1 1) into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.174 * [backup-simplify]: Simplify 1.0 into 1.0 0.175 * [backup-simplify]: Simplify (+ 1 0) into 1 0.175 * [backup-simplify]: Simplify (sqrt 1) into 1 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [backup-simplify]: Simplify (- 1) into -1 0.177 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (- 0) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.179 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.181 * [backup-simplify]: Simplify (/ (- (- 1.0) (pow 0 2) (+)) (* 2 1)) into -0.5 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (- 0) into 0 0.182 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.182 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (- 0) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.5)))) (* 2 1)) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (- 0) into 0 0.185 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify (/ (- 0 (pow -0.5 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -0.125 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (- 0) into 0 0.189 * [backup-simplify]: Simplify (+ -0.125 0) into (- 0.125) 0.190 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 0.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (- 0) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -0.125)) (* 2 (* -0.5 0)))) (* 2 1)) into 0 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (- 0) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -0.5 -0.125)))) (* 2 1)) into -0.0625 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (- 0) into 0 0.204 * [backup-simplify]: Simplify (+ -0.0625 0) into (- 0.0625) 0.204 * [backup-simplify]: Simplify (- 0.0625) into (- 0.0625) 0.205 * [backup-simplify]: Simplify (+ (* (- 0.0625) (pow (/ 1 (- x)) 5)) (+ (* (- 0.125) (pow (/ 1 (- x)) 3)) (* (- 0.5) (/ 1 (- x))))) into (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x)))) 0.205 * * * [progress]: simplifying candidates 0.206 * [simplify]: Simplifying: (log (sqrt (- (* x x) 1.0))) (exp (sqrt (- (* x x) 1.0))) (* (cbrt (sqrt (- (* x x) 1.0))) (cbrt (sqrt (- (* x x) 1.0)))) (cbrt (sqrt (- (* x x) 1.0))) (* (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (sqrt (- (* x x) 1.0))) (sqrt (* (cbrt (- (* x x) 1.0)) (cbrt (- (* x x) 1.0)))) (sqrt (cbrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (sqrt 1) (sqrt (- (* x x) 1.0)) (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))) (sqrt (- (pow (* x x) 3) (pow 1.0 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1.0 1.0) (* (* x x) 1.0)))) (sqrt (- (* (* x x) (* x x)) (* 1.0 1.0))) (sqrt (+ (* x x) 1.0)) (/ 1 2) (sqrt (sqrt (- (* x x) 1.0))) (sqrt (sqrt (- (* x x) 1.0))) (* (exp x) (exp (sqrt (- (* x x) 1.0)))) (log (+ x (sqrt (- (* x x) 1.0)))) (exp (+ x (sqrt (- (* x x) 1.0)))) (* (cbrt (+ x (sqrt (- (* x x) 1.0)))) (cbrt (+ x (sqrt (- (* x x) 1.0))))) (cbrt (+ x (sqrt (- (* x x) 1.0)))) (* (* (+ x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0)))) (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (sqrt (+ x (sqrt (- (* x x) 1.0)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1.0)) 3)) (+ (* x x) (- (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0))) (* x (sqrt (- (* x x) 1.0))))) (- (* x x) (* (sqrt (- (* x x) 1.0)) (sqrt (- (* x x) 1.0)))) (- x (sqrt (- (* x x) 1.0))) (+ x (sqrt (- (* x x) 1.0))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt (- 1.0)) 3)))) (- x (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (- (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3)))) x) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt (- 1.0)))) (sqrt (- 1.0)))) (- (* 2 x) (+ (* 0.5 (/ 1 x)) (* 0.125 (/ 1 (pow x 3))))) (+ (* 0.125 (/ 1 (pow x 3))) (+ (* 0.0625 (/ 1 (pow x 5))) (* 0.5 (/ 1 x)))) 0.206 * [simplify]: Sending expressions to egg_math: (log (sqrt (- (* h1 h1) h0))) (exp (sqrt (- (* h1 h1) h0))) (* (cbrt (sqrt (- (* h1 h1) h0))) (cbrt (sqrt (- (* h1 h1) h0)))) (cbrt (sqrt (- (* h1 h1) h0))) (* (* (sqrt (- (* h1 h1) h0)) (sqrt (- (* h1 h1) h0))) (sqrt (- (* h1 h1) h0))) (sqrt (* (cbrt (- (* h1 h1) h0)) (cbrt (- (* h1 h1) h0)))) (sqrt (cbrt (- (* h1 h1) h0))) (sqrt (sqrt (- (* h1 h1) h0))) (sqrt (sqrt (- (* h1 h1) h0))) (sqrt 1) (sqrt (- (* h1 h1) h0)) (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0))) (sqrt (- (pow (* h1 h1) 3) (pow h0 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (+ (* h0 h0) (* (* h1 h1) h0)))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* h0 h0))) (sqrt (+ (* h1 h1) h0)) (/ 1 2) (sqrt (sqrt (- (* h1 h1) h0))) (sqrt (sqrt (- (* h1 h1) h0))) (* (exp h1) (exp (sqrt (- (* h1 h1) h0)))) (log (+ h1 (sqrt (- (* h1 h1) h0)))) (exp (+ h1 (sqrt (- (* h1 h1) h0)))) (* (cbrt (+ h1 (sqrt (- (* h1 h1) h0)))) (cbrt (+ h1 (sqrt (- (* h1 h1) h0))))) (cbrt (+ h1 (sqrt (- (* h1 h1) h0)))) (* (* (+ h1 (sqrt (- (* h1 h1) h0))) (+ h1 (sqrt (- (* h1 h1) h0)))) (+ h1 (sqrt (- (* h1 h1) h0)))) (sqrt (+ h1 (sqrt (- (* h1 h1) h0)))) (sqrt (+ h1 (sqrt (- (* h1 h1) h0)))) (+ (pow h1 3) (pow (sqrt (- (* h1 h1) h0)) 3)) (+ (* h1 h1) (- (* (sqrt (- (* h1 h1) h0)) (sqrt (- (* h1 h1) h0))) (* h1 (sqrt (- (* h1 h1) h0))))) (- (* h1 h1) (* (sqrt (- (* h1 h1) h0)) (sqrt (- (* h1 h1) h0)))) (- h1 (sqrt (- (* h1 h1) h0))) (+ h1 (sqrt (- (* h1 h1) h0))) (- (+ (* 1/2 (/ (pow h1 2) (sqrt (- h0)))) (sqrt (- h0))) (* 1/8 (/ (pow h1 4) (pow (sqrt (- h0)) 3)))) (- h1 (+ (* h3 (/ 1 h1)) (* h2 (/ 1 (pow h1 3))))) (- (+ (* h3 (/ 1 h1)) (* h2 (/ 1 (pow h1 3)))) h1) (+ h1 (+ (* 1/2 (/ (pow h1 2) (sqrt (- h0)))) (sqrt (- h0)))) (- (* 2 h1) (+ (* h3 (/ 1 h1)) (* h2 (/ 1 (pow h1 3))))) (+ (* h2 (/ 1 (pow h1 3))) (+ (* h4 (/ 1 (pow h1 5))) (* h3 (/ 1 h1)))) 0.209 * * [simplify]: iteration 0 : 217 enodes (cost 221 ) 0.213 * * [simplify]: iteration 1 : 657 enodes (cost 211 ) 0.224 * * [simplify]: iteration 2 : 2555 enodes (cost 205 ) 0.277 * * [simplify]: iteration 3 : 5001 enodes (cost 204 ) 0.279 * * * [progress]: adding candidates to table 0.361 * * [progress]: iteration 2 / 4 0.361 * * * [progress]: picking best candidate 0.363 * * * * [pick]: Picked # 0.364 * * * [progress]: localizing error 0.374 * * * [progress]: generating rewritten candidates 0.374 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.423 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 1) 0.432 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.439 * * * [progress]: generating series expansions 0.439 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.440 * [backup-simplify]: Simplify (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) into (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) 0.440 * [approximate]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in (x) around 0 0.440 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.440 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.440 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [backup-simplify]: Simplify 1.0 into 1.0 0.441 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.441 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [backup-simplify]: Simplify 1.0 into 1.0 0.441 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.445 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 0.445 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 0.446 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 0.447 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 0.449 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 0.449 * [backup-simplify]: Simplify (- 0) into 0 0.449 * [backup-simplify]: Simplify (+ 1 0) into 1 0.449 * [backup-simplify]: Simplify (+ 1 0) into 1 0.451 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 0.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 0.452 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.452 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.452 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.452 * [taylor]: Taking taylor expansion of 1.0 in x 0.452 * [backup-simplify]: Simplify 1.0 into 1.0 0.452 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.453 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.453 * [taylor]: Taking taylor expansion of 1.0 in x 0.453 * [backup-simplify]: Simplify 1.0 into 1.0 0.453 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.454 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 0.454 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 0.455 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 0.456 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 0.457 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.458 * [backup-simplify]: Simplify (+ 1 0) into 1 0.458 * [backup-simplify]: Simplify (+ 1 0) into 1 0.460 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 0.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 0.462 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 0.462 * [backup-simplify]: Simplify 0 into 0 0.462 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.463 * [backup-simplify]: Simplify (- 0) into 0 0.463 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.464 * [backup-simplify]: Simplify (+ 0 0) into 0 0.464 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 0.467 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 0.469 * [backup-simplify]: Simplify (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 0.470 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.470 * [backup-simplify]: Simplify (- 0) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.472 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- (sqrt 1.0)))))) into 0 0.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))))))) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 0.473 * [backup-simplify]: Simplify 0 into 0 0.474 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.474 * [backup-simplify]: Simplify (- 0) into 0 0.474 * [backup-simplify]: Simplify (+ 0 0) into 0 0.475 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- (sqrt 1.0))))))) into 0 0.483 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) 0.485 * [backup-simplify]: Simplify (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) into (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) 0.491 * [backup-simplify]: Simplify (+ (* (/ -1/8 (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)) (pow x 4)) (+ (* (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) (pow x 2)) (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (- (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) 0.492 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 x) (sqrt 1.0))) (sqrt (- (/ 1 x) (sqrt 1.0)))) into (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) 0.492 * [approximate]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.492 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.492 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.492 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (/ 1 1) into 1 0.493 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.493 * [taylor]: Taking taylor expansion of 1.0 in x 0.493 * [backup-simplify]: Simplify 1.0 into 1.0 0.493 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.493 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.493 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.493 * [taylor]: Taking taylor expansion of 1.0 in x 0.493 * [backup-simplify]: Simplify 1.0 into 1.0 0.494 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.494 * [backup-simplify]: Simplify (/ 1 1) into 1 0.494 * [backup-simplify]: Simplify (+ 1 0) into 1 0.495 * [backup-simplify]: Simplify (+ 0 1) into 1 0.495 * [backup-simplify]: Simplify (* 1 1) into 1 0.495 * [backup-simplify]: Simplify (sqrt 1) into 1 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 0.498 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 0.499 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 0.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.500 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.500 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.500 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [backup-simplify]: Simplify (/ 1 1) into 1 0.500 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [backup-simplify]: Simplify 1.0 into 1.0 0.500 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.501 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.501 * [taylor]: Taking taylor expansion of (sqrt 1.0) 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 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.501 * [taylor]: Taking taylor expansion of (/ 1 x) in x 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 0.502 * [backup-simplify]: Simplify (/ 1 1) into 1 0.502 * [backup-simplify]: Simplify (+ 1 0) into 1 0.502 * [backup-simplify]: Simplify (+ 0 1) into 1 0.502 * [backup-simplify]: Simplify (* 1 1) into 1 0.502 * [backup-simplify]: Simplify (sqrt 1) into 1 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 0.505 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 0.507 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 0.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (- 0) into 0 0.509 * [backup-simplify]: Simplify (+ 0 0) into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) (sqrt 1.0)) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 0.514 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 0.515 * [backup-simplify]: Simplify (* -1/2 (pow (sqrt 1.0) 2)) into (* -1/2 (pow (sqrt 1.0) 2)) 0.515 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.517 * [backup-simplify]: Simplify (- 0) into 0 0.518 * [backup-simplify]: Simplify (+ 0 0) into 0 0.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 (sqrt 1.0)) (* 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.522 * [backup-simplify]: Simplify (+ 0 0) into 0 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 0) (+ (* 0 (sqrt 1.0)) (* 0 1))))) into 0 0.533 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1/2 (pow (sqrt 1.0) 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/8 (pow (sqrt 1.0) 4)) 0.534 * [backup-simplify]: Simplify (* -1/8 (pow (sqrt 1.0) 4)) into (* -1/8 (pow (sqrt 1.0) 4)) 0.536 * [backup-simplify]: Simplify (+ (* (* -1/8 (pow (sqrt 1.0) 4)) (pow (/ 1 x) 3)) (+ (* (* -1/2 (pow (sqrt 1.0) 2)) (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 0.536 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- x)) (sqrt 1.0))) (sqrt (- (/ 1 (- x)) (sqrt 1.0)))) into (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) 0.536 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in (x) around 0 0.536 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.536 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.537 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.537 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.537 * [taylor]: Taking taylor expansion of (sqrt 1.0) 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 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 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 0.538 * [backup-simplify]: Simplify (+ 0 1) into 1 0.538 * [backup-simplify]: Simplify (- 1) into -1 0.538 * [backup-simplify]: Simplify (sqrt 0) into 0 0.538 * [backup-simplify]: Simplify (- 1) into -1 0.539 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.539 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.539 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.539 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.539 * [taylor]: Taking taylor expansion of 1.0 in x 0.539 * [backup-simplify]: Simplify 1.0 into 1.0 0.539 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (/ 1 1) into 1 0.540 * [backup-simplify]: Simplify (- 1) into -1 0.541 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.541 * [backup-simplify]: Simplify (sqrt 0) into 0 0.541 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.541 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.541 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.541 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.541 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.542 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.542 * [taylor]: Taking taylor expansion of 1.0 in x 0.542 * [backup-simplify]: Simplify 1.0 into 1.0 0.542 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify (/ 1 1) into 1 0.543 * [backup-simplify]: Simplify (+ 0 1) into 1 0.543 * [backup-simplify]: Simplify (- 1) into -1 0.543 * [backup-simplify]: Simplify (sqrt 0) into 0 0.543 * [backup-simplify]: Simplify (- 1) into -1 0.544 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.544 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.544 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.544 * [taylor]: Taking taylor expansion of (sqrt 1.0) 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 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.545 * [backup-simplify]: Simplify (/ 1 1) into 1 0.545 * [backup-simplify]: Simplify (- 1) into -1 0.545 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.546 * [backup-simplify]: Simplify (sqrt 0) into 0 0.546 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.547 * [backup-simplify]: Simplify (* 0 0) into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (- 0) into 0 0.548 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.550 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.551 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 0.553 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 0.556 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 0))) into (- +nan.0) 0.556 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify (- 0) into 0 0.557 * [backup-simplify]: Simplify (+ 0 0) into 0 0.561 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (+ 0 0) into 0 0.562 * [backup-simplify]: Simplify (- 0) into 0 0.567 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (sqrt 1.0) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0.574 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0.576 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0.576 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (- 0) into 0 0.577 * [backup-simplify]: Simplify (+ 0 0) into 0 0.584 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (- (sqrt 1.0) +nan.0)) 2) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 0.585 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (+ 0 0) into 0 0.586 * [backup-simplify]: Simplify (- 0) into 0 0.594 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 2) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 0.615 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0)))))) (+ (* +nan.0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 0.620 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) into (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) 0.626 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- +nan.0))))) (pow (/ 1 (- x)) 2)) (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- +nan.0))))))))))) 0.626 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 1) 0.626 * [backup-simplify]: Simplify (sqrt (+ x (sqrt 1.0))) into (sqrt (+ x (sqrt 1.0))) 0.626 * [approximate]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in (x) around 0 0.626 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 0.626 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.626 * [taylor]: Taking taylor expansion of 1.0 in x 0.627 * [backup-simplify]: Simplify 1.0 into 1.0 0.627 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.628 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 0.628 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 0.628 * [backup-simplify]: Simplify (+ 1 0) into 1 0.629 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 0.630 * [taylor]: Taking taylor expansion of (sqrt (+ x (sqrt 1.0))) in x 0.630 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify 1 into 1 0.630 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.630 * [taylor]: Taking taylor expansion of 1.0 in x 0.630 * [backup-simplify]: Simplify 1.0 into 1.0 0.630 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.631 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 0.631 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 0.631 * [backup-simplify]: Simplify (+ 1 0) into 1 0.633 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt (sqrt 1.0)))) into (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 0.633 * [backup-simplify]: Simplify (sqrt (sqrt 1.0)) into (sqrt (sqrt 1.0)) 0.634 * [backup-simplify]: Simplify (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) into (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 0.635 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.635 * [backup-simplify]: Simplify (+ 0 0) into 0 0.640 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) 2) (+)) (* 2 (sqrt (sqrt 1.0)))) into (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) 0.642 * [backup-simplify]: Simplify (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) into (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) 0.645 * [backup-simplify]: Simplify (+ (* (* -1/8 (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (pow x 2)) (+ (* (* 1/2 (sqrt (/ 1 (sqrt 1.0)))) x) (sqrt (sqrt 1.0)))) into (- (+ (sqrt (sqrt 1.0)) (* 1/2 (* x (sqrt (/ 1 (sqrt 1.0)))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) 0.646 * [backup-simplify]: Simplify (sqrt (+ (/ 1 x) (sqrt 1.0))) into (sqrt (+ (sqrt 1.0) (/ 1 x))) 0.646 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in (x) around 0 0.646 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 0.646 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.646 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.646 * [taylor]: Taking taylor expansion of 1.0 in x 0.646 * [backup-simplify]: Simplify 1.0 into 1.0 0.646 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [backup-simplify]: Simplify (/ 1 1) into 1 0.647 * [backup-simplify]: Simplify (+ 0 1) into 1 0.647 * [backup-simplify]: Simplify (sqrt 0) into 0 0.648 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.648 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (/ 1 x))) in x 0.648 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.648 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.648 * [taylor]: Taking taylor expansion of 1.0 in x 0.648 * [backup-simplify]: Simplify 1.0 into 1.0 0.648 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 1 into 1 0.649 * [backup-simplify]: Simplify (/ 1 1) into 1 0.649 * [backup-simplify]: Simplify (+ 0 1) into 1 0.649 * [backup-simplify]: Simplify (sqrt 0) into 0 0.650 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.651 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.653 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 0.654 * [backup-simplify]: Simplify (* +nan.0 (- (sqrt 1.0) +nan.0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.655 * [backup-simplify]: Simplify (+ 0 0) into 0 0.659 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0.660 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0.663 * [backup-simplify]: Simplify (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (pow (/ 1 x) 2)) (+ (* (* +nan.0 (- (sqrt 1.0) +nan.0)) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) 0.663 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (- x)) (sqrt 1.0))) into (sqrt (- (sqrt 1.0) (/ 1 x))) 0.663 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in (x) around 0 0.663 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.663 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.663 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.663 * [taylor]: Taking taylor expansion of 1.0 in x 0.663 * [backup-simplify]: Simplify 1.0 into 1.0 0.663 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [backup-simplify]: Simplify (/ 1 1) into 1 0.664 * [backup-simplify]: Simplify (- 1) into -1 0.664 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.665 * [backup-simplify]: Simplify (sqrt 0) into 0 0.665 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.665 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.665 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.665 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.665 * [taylor]: Taking taylor expansion of 1.0 in x 0.665 * [backup-simplify]: Simplify 1.0 into 1.0 0.666 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 1 into 1 0.666 * [backup-simplify]: Simplify (/ 1 1) into 1 0.667 * [backup-simplify]: Simplify (- 1) into -1 0.667 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.667 * [backup-simplify]: Simplify (sqrt 0) into 0 0.668 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.668 * [backup-simplify]: Simplify (- 0) into 0 0.669 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.671 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 0.672 * [backup-simplify]: Simplify (* +nan.0 (- (sqrt 1.0) +nan.0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 0.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.672 * [backup-simplify]: Simplify (- 0) into 0 0.672 * [backup-simplify]: Simplify (+ 0 0) into 0 0.676 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0.678 * [backup-simplify]: Simplify (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0.681 * [backup-simplify]: Simplify (+ (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (pow (/ 1 (- x)) 2)) (+ (* (* +nan.0 (- (sqrt 1.0) +nan.0)) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) 0.681 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.681 * [backup-simplify]: Simplify (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) into (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) 0.681 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in (x) around 0 0.681 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 1 into 1 0.681 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.681 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.681 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.682 * [taylor]: Taking taylor expansion of 1.0 in x 0.682 * [backup-simplify]: Simplify 1.0 into 1.0 0.682 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.682 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.682 * [taylor]: Taking taylor expansion of 1.0 in x 0.682 * [backup-simplify]: Simplify 1.0 into 1.0 0.683 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.683 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 0.684 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 0.685 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 0.686 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 0.687 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 0.687 * [backup-simplify]: Simplify (- 0) into 0 0.688 * [backup-simplify]: Simplify (+ 1 0) into 1 0.688 * [backup-simplify]: Simplify (+ 1 0) into 1 0.690 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 0.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 0.690 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))))) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [taylor]: Taking taylor expansion of (sqrt (* (+ x (sqrt 1.0)) (- x (sqrt 1.0)))) in x 0.691 * [taylor]: Taking taylor expansion of (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) in x 0.691 * [taylor]: Taking taylor expansion of (+ x (sqrt 1.0)) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.691 * [taylor]: Taking taylor expansion of 1.0 in x 0.691 * [backup-simplify]: Simplify 1.0 into 1.0 0.691 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.691 * [taylor]: Taking taylor expansion of (- x (sqrt 1.0)) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.691 * [taylor]: Taking taylor expansion of 1.0 in x 0.691 * [backup-simplify]: Simplify 1.0 into 1.0 0.692 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.693 * [backup-simplify]: Simplify (+ 0 (sqrt 1.0)) into (sqrt 1.0) 0.693 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 0.694 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 0.700 * [backup-simplify]: Simplify (* (sqrt 1.0) (- (sqrt 1.0))) into (* -1 (pow (sqrt 1.0) 2)) 0.701 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 0.702 * [backup-simplify]: Simplify (- 0) into 0 0.702 * [backup-simplify]: Simplify (+ 1 0) into 1 0.702 * [backup-simplify]: Simplify (+ 1 0) into 1 0.704 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 1) (* 1 (- (sqrt 1.0)))) into 0 0.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into 0 0.706 * [backup-simplify]: Simplify (+ 0 (sqrt (* -1 (pow (sqrt 1.0) 2)))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 0.708 * [backup-simplify]: Simplify (sqrt (* -1 (pow (sqrt 1.0) 2))) into (sqrt (* -1 (pow (sqrt 1.0) 2))) 0.708 * [backup-simplify]: Simplify (+ 1 0) into 1 0.708 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.709 * [backup-simplify]: Simplify (- 0) into 0 0.709 * [backup-simplify]: Simplify (+ 0 0) into 0 0.710 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.710 * [backup-simplify]: Simplify (+ 0 0) into 0 0.710 * [backup-simplify]: Simplify (+ (* (sqrt 1.0) 0) (+ (* 1 1) (* 0 (- (sqrt 1.0))))) into 1 0.713 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 0.716 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) 0.718 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) 0.722 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt (* -1 (pow (sqrt 1.0) 2)))) (pow x 2)) (+ (* 1 x) (sqrt (* -1 (pow (sqrt 1.0) 2))))) into (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) 0.722 * [backup-simplify]: Simplify (+ (/ 1 x) (* (sqrt (+ (/ 1 x) (sqrt 1.0))) (sqrt (- (/ 1 x) (sqrt 1.0))))) into (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) 0.723 * [approximate]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 0.723 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.723 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.723 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.723 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [backup-simplify]: Simplify (/ 1 1) into 1 0.723 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.723 * [taylor]: Taking taylor expansion of 1.0 in x 0.723 * [backup-simplify]: Simplify 1.0 into 1.0 0.723 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.724 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.724 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.724 * [taylor]: Taking taylor expansion of 1.0 in x 0.724 * [backup-simplify]: Simplify 1.0 into 1.0 0.724 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.724 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 1 into 1 0.725 * [backup-simplify]: Simplify (/ 1 1) into 1 0.725 * [backup-simplify]: Simplify (+ 1 0) into 1 0.725 * [backup-simplify]: Simplify (+ 0 1) into 1 0.725 * [backup-simplify]: Simplify (* 1 1) into 1 0.725 * [backup-simplify]: Simplify (sqrt 1) into 1 0.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.726 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 0.728 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 0.730 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 0.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (/ 1 1) into 1 0.731 * [taylor]: Taking taylor expansion of (+ (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.731 * [taylor]: Taking taylor expansion of (sqrt (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x)))) in x 0.731 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (sqrt 1.0)) (+ (sqrt 1.0) (/ 1 x))) in x 0.731 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt 1.0)) in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (/ 1 1) into 1 0.731 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.731 * [taylor]: Taking taylor expansion of 1.0 in x 0.731 * [backup-simplify]: Simplify 1.0 into 1.0 0.731 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.732 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.732 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.732 * [taylor]: Taking taylor expansion of 1.0 in x 0.732 * [backup-simplify]: Simplify 1.0 into 1.0 0.732 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.733 * [backup-simplify]: Simplify (/ 1 1) into 1 0.733 * [backup-simplify]: Simplify (+ 1 0) into 1 0.733 * [backup-simplify]: Simplify (+ 0 1) into 1 0.733 * [backup-simplify]: Simplify (* 1 1) into 1 0.733 * [backup-simplify]: Simplify (sqrt 1) into 1 0.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.734 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.735 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 0.736 * [backup-simplify]: Simplify (+ 0 (- (sqrt 1.0))) into (- (sqrt 1.0)) 0.738 * [backup-simplify]: Simplify (+ (* 1 (sqrt 1.0)) (* (- (sqrt 1.0)) 1)) into 0 0.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (/ 1 1) into 1 0.739 * [backup-simplify]: Simplify (+ 1 1) into 2 0.739 * [backup-simplify]: Simplify 2 into 2 0.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify (+ 0 0) into 0 0.739 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.740 * [backup-simplify]: Simplify (+ 0 0) into 0 0.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.741 * [backup-simplify]: Simplify (- 0) into 0 0.741 * [backup-simplify]: Simplify (+ 0 0) into 0 0.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) (sqrt 1.0)) (* 0 1))) into (- (pow (sqrt 1.0) 2)) 0.746 * [backup-simplify]: Simplify (/ (- (- (pow (sqrt 1.0) 2)) (pow 0 2) (+)) (* 2 1)) into (* -1/2 (pow (sqrt 1.0) 2)) 0.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.748 * [backup-simplify]: Simplify (+ (* -1/2 (pow (sqrt 1.0) 2)) 0) into (- (* 1/2 (pow (sqrt 1.0) 2))) 0.749 * [backup-simplify]: Simplify (- (* 1/2 (pow (sqrt 1.0) 2))) into (- (* 1/2 (pow (sqrt 1.0) 2))) 0.750 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (+ 0 0) into 0 0.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1.0))) into 0 0.752 * [backup-simplify]: Simplify (- 0) into 0 0.752 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 (sqrt 1.0)) (* 0 1)))) into 0 0.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/2 (pow (sqrt 1.0) 2)))))) (* 2 1)) into 0 0.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.754 * [backup-simplify]: Simplify (+ 0 0) into 0 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.756 * [backup-simplify]: Simplify (+ 0 0) into 0 0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.757 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1.0))) into 0 0.757 * [backup-simplify]: Simplify (- 0) into 0 0.757 * [backup-simplify]: Simplify (+ 0 0) into 0 0.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (sqrt 1.0)) 0) (+ (* 0 0) (+ (* 0 (sqrt 1.0)) (* 0 1))))) into 0 0.762 * [backup-simplify]: Simplify (/ (- 0 (pow (* -1/2 (pow (sqrt 1.0) 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/8 (pow (sqrt 1.0) 4)) 0.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.764 * [backup-simplify]: Simplify (+ (* -1/8 (pow (sqrt 1.0) 4)) 0) into (- (* 1/8 (pow (sqrt 1.0) 4))) 0.765 * [backup-simplify]: Simplify (- (* 1/8 (pow (sqrt 1.0) 4))) into (- (* 1/8 (pow (sqrt 1.0) 4))) 0.768 * [backup-simplify]: Simplify (+ (* (- (* 1/8 (pow (sqrt 1.0) 4))) (pow (/ 1 x) 3)) (+ (* (- (* 1/2 (pow (sqrt 1.0) 2))) (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) 0.769 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* (sqrt (+ (/ 1 (- x)) (sqrt 1.0))) (sqrt (- (/ 1 (- x)) (sqrt 1.0))))) into (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) 0.769 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in (x) around 0 0.769 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.769 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.769 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.769 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.769 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.769 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.769 * [taylor]: Taking taylor expansion of 1.0 in x 0.769 * [backup-simplify]: Simplify 1.0 into 1.0 0.769 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.770 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [backup-simplify]: Simplify (/ 1 1) into 1 0.770 * [backup-simplify]: Simplify (+ 0 1) into 1 0.770 * [backup-simplify]: Simplify (- 1) into -1 0.770 * [backup-simplify]: Simplify (sqrt 0) into 0 0.771 * [backup-simplify]: Simplify (- 1) into -1 0.771 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.771 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.771 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.772 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.772 * [taylor]: Taking taylor expansion of 1.0 in x 0.772 * [backup-simplify]: Simplify 1.0 into 1.0 0.772 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.772 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.772 * [taylor]: Taking taylor expansion of x in x 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [backup-simplify]: Simplify (/ 1 1) into 1 0.773 * [backup-simplify]: Simplify (- 1) into -1 0.773 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.773 * [backup-simplify]: Simplify (sqrt 0) into 0 0.774 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.774 * [taylor]: Taking taylor expansion of x in x 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 1 into 1 0.774 * [backup-simplify]: Simplify (/ 1 1) into 1 0.774 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) (/ 1 x)) in x 0.774 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) (sqrt (- (sqrt 1.0) (/ 1 x)))) in x 0.774 * [taylor]: Taking taylor expansion of (sqrt (- (+ (sqrt 1.0) (/ 1 x)))) in x 0.774 * [taylor]: Taking taylor expansion of (- (+ (sqrt 1.0) (/ 1 x))) in x 0.774 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (/ 1 x)) in x 0.774 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.774 * [taylor]: Taking taylor expansion of 1.0 in x 0.774 * [backup-simplify]: Simplify 1.0 into 1.0 0.774 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.775 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.775 * [taylor]: Taking taylor expansion of x in x 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [backup-simplify]: Simplify (/ 1 1) into 1 0.775 * [backup-simplify]: Simplify (+ 0 1) into 1 0.776 * [backup-simplify]: Simplify (- 1) into -1 0.776 * [backup-simplify]: Simplify (sqrt 0) into 0 0.776 * [backup-simplify]: Simplify (- 1) into -1 0.777 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.777 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt 1.0) (/ 1 x))) in x 0.777 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (/ 1 x)) in x 0.777 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.777 * [taylor]: Taking taylor expansion of 1.0 in x 0.777 * [backup-simplify]: Simplify 1.0 into 1.0 0.777 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 0.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1.0))) into 0 0.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.777 * [taylor]: Taking taylor expansion of x in x 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 1 into 1 0.778 * [backup-simplify]: Simplify (/ 1 1) into 1 0.778 * [backup-simplify]: Simplify (- 1) into -1 0.778 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.778 * [backup-simplify]: Simplify (sqrt 0) into 0 0.779 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 0.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.779 * [taylor]: Taking taylor expansion of x in x 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (/ 1 1) into 1 0.779 * [backup-simplify]: Simplify (* 0 0) into 0 0.780 * [backup-simplify]: Simplify (+ 0 0) into 0 0.780 * [backup-simplify]: Simplify 0 into 0 0.780 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 0.780 * [backup-simplify]: Simplify (- 1) into -1 0.780 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.781 * [backup-simplify]: Simplify -1 into -1 0.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (- 0) into 0 0.787 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.789 * [backup-simplify]: Simplify (/ (- (sqrt 1.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (sqrt 1.0) +nan.0)) 0.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.790 * [backup-simplify]: Simplify (+ (sqrt 1.0) 0) into (sqrt 1.0) 0.791 * [backup-simplify]: Simplify (- (sqrt 1.0)) into (- (sqrt 1.0)) 0.793 * [backup-simplify]: Simplify (/ (- (- (sqrt 1.0)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 0.796 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* +nan.0 +nan.0) (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) 0))) into (- +nan.0) 0.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.797 * [backup-simplify]: Simplify (- 0) into 0 0.797 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 0.797 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.798 * [backup-simplify]: Simplify (- 0) into 0 0.798 * [backup-simplify]: Simplify (+ 0 0) into 0 0.802 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [backup-simplify]: Simplify (- 0) into 0 0.808 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 (* +nan.0 (+ (sqrt 1.0) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0.816 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (sqrt 1.0) +nan.0))) (+ (* (* +nan.0 (+ (sqrt 1.0) (- +nan.0))) +nan.0) (* (* +nan.0 (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0)))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (- 0) into 0 0.819 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0.820 * [backup-simplify]: Simplify (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) into (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) 0.822 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (sqrt 1.0)) (- +nan.0))) (/ 1 (- x))) (+ (- +nan.0) (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ +nan.0 (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (* +nan.0 (/ 1 x))))))) 0.822 * * * [progress]: simplifying candidates 0.823 * [simplify]: Simplifying: (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (+ (log (sqrt (+ x (sqrt 1.0)))) (log (sqrt (- x (sqrt 1.0))))) (log (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (* (* (sqrt (- x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))))) (* (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (+ x (sqrt 1.0)) (- x (sqrt 1.0))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (sqrt (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ (* x x) (+ (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0)))))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (- x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (* (cbrt (sqrt (- x (sqrt 1.0)))) (cbrt (sqrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (* (cbrt (- x (sqrt 1.0))) (cbrt (- x (sqrt 1.0)))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) (sqrt 1)) (* (sqrt (+ x (sqrt 1.0))) (sqrt (sqrt (- x (sqrt 1.0))))) (* (sqrt (+ x (sqrt 1.0))) 1) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (pow x 3) (pow (sqrt 1.0) 3)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0))))) (* (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0)))) (log (sqrt (+ x (sqrt 1.0)))) (exp (sqrt (+ x (sqrt 1.0)))) (* (cbrt (sqrt (+ x (sqrt 1.0)))) (cbrt (sqrt (+ x (sqrt 1.0))))) (cbrt (sqrt (+ x (sqrt 1.0)))) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (+ x (sqrt 1.0)))) (sqrt (+ x (sqrt 1.0)))) (sqrt (* (cbrt (+ x (sqrt 1.0))) (cbrt (+ x (sqrt 1.0))))) (sqrt (cbrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt 1) (sqrt (+ x (sqrt 1.0))) (sqrt 1) (sqrt (+ x (sqrt 1.0))) (sqrt (+ (pow x 3) (pow (sqrt 1.0) 3))) (sqrt (+ (* x x) (- (* (sqrt 1.0) (sqrt 1.0)) (* x (sqrt 1.0))))) (sqrt (- (* x x) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- x (sqrt 1.0))) (/ 1 2) (sqrt (sqrt (+ x (sqrt 1.0)))) (sqrt (sqrt (+ x (sqrt 1.0)))) (* (exp x) (exp (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (exp (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (cbrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (* (* (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (sqrt (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (+ (pow x 3) (pow (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) 3)) (+ (* x x) (- (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (* x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))) (- (* x x) (* (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))) (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) (- x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))) (- (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (sqrt (* -1 (pow (sqrt 1.0) 2)))) (* 1/8 (/ (pow x 4) (pow (sqrt (* -1 (pow (sqrt 1.0) 2))) 3)))) (- x (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- +nan.0))))))))))) (- (+ (sqrt (sqrt 1.0)) (* 1/2 (* x (sqrt (/ 1 (sqrt 1.0)))))) (* 1/8 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (+ (* 1/2 (/ (pow x 2) (sqrt (* -1 (pow (sqrt 1.0) 2))))) (+ x (sqrt (* -1 (pow (sqrt 1.0) 2))))) (- (* 2 x) (+ (* 1/8 (/ (pow (sqrt 1.0) 4) (pow x 3))) (* 1/2 (/ (pow (sqrt 1.0) 2) x)))) (- x (+ +nan.0 (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (* +nan.0 (/ 1 x))))))) 0.824 * [simplify]: Sending expressions to egg_math: (* (+ h1 (sqrt h0)) (- h1 (sqrt h0))) (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0)))) (* (+ h1 (sqrt h0)) (- h1 (sqrt h0))) (+ (log (sqrt (+ h1 (sqrt h0)))) (log (sqrt (- h1 (sqrt h0))))) (log (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0))))) (exp (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0))))) (* (* (* (sqrt (+ h1 (sqrt h0))) (sqrt (+ h1 (sqrt h0)))) (sqrt (+ h1 (sqrt h0)))) (* (* (sqrt (- h1 (sqrt h0))) (sqrt (- h1 (sqrt h0)))) (sqrt (- h1 (sqrt h0))))) (* (cbrt (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0))))) (cbrt (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0)))))) (cbrt (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0))))) (* (* (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0)))) (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0))))) (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0))))) (* (+ h1 (sqrt h0)) (- h1 (sqrt h0))) (sqrt (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0))))) (sqrt (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0))))) (* (sqrt (+ (pow h1 3) (pow (sqrt h0) 3))) (sqrt (- (pow h1 3) (pow (sqrt h0) 3)))) (* (sqrt (+ (* h1 h1) (- (* (sqrt h0) (sqrt h0)) (* h1 (sqrt h0))))) (sqrt (+ (* h1 h1) (+ (* (sqrt h0) (sqrt h0)) (* h1 (sqrt h0)))))) (* (sqrt (+ (pow h1 3) (pow (sqrt h0) 3))) (sqrt (- (* h1 h1) (* (sqrt h0) (sqrt h0))))) (* (sqrt (+ (* h1 h1) (- (* (sqrt h0) (sqrt h0)) (* h1 (sqrt h0))))) (sqrt (+ h1 (sqrt h0)))) (* (sqrt (- (* h1 h1) (* (sqrt h0) (sqrt h0)))) (sqrt (- (pow h1 3) (pow (sqrt h0) 3)))) (* (sqrt (- h1 (sqrt h0))) (sqrt (+ (* h1 h1) (+ (* (sqrt h0) (sqrt h0)) (* h1 (sqrt h0)))))) (* (sqrt (- (* h1 h1) (* (sqrt h0) (sqrt h0)))) (sqrt (- (* h1 h1) (* (sqrt h0) (sqrt h0))))) (* (sqrt (- h1 (sqrt h0))) (sqrt (+ h1 (sqrt h0)))) (* (sqrt (sqrt (+ h1 (sqrt h0)))) (sqrt (sqrt (- h1 (sqrt 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(sqrt h0))) (sqrt (- h1 (sqrt h0)))))) (sqrt (+ h1 (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0)))))) (+ (pow h1 3) (pow (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0)))) 3)) (+ (* h1 h1) (- (* (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0)))) (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0))))) (* h1 (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0))))))) (- (* h1 h1) (* (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0)))) (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0)))))) (- h1 (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0))))) (- (+ (* 1/2 (/ (pow h1 2) (sqrt (* -1 (pow (sqrt h0) 2))))) (sqrt (* -1 (pow (sqrt h0) 2)))) (* 1/8 (/ (pow h1 4) (pow (sqrt (* -1 (pow (sqrt h0) 2))) 3)))) (- h1 (+ (* 1/8 (/ (pow (sqrt h0) 4) (pow h1 3))) (* 1/2 (/ (pow (sqrt h0) 2) h1)))) (- (+ (* h2 (/ (pow (sqrt h0) 2) (pow h1 2))) (- (+ (* h2 (/ (sqrt h0) (pow h1 2))) (- (+ (* h2 (/ 1 (pow h1 2))) (- (+ (* h2 (/ 1 h1)) (- (+ (* h2 (/ (sqrt h0) h1)) (- h2))))))))))) (- (+ (sqrt (sqrt h0)) (* 1/2 (* h1 (sqrt (/ 1 (sqrt h0)))))) (* 1/8 (* (pow h1 2) (sqrt (/ 1 (pow (sqrt h0) 3)))))) (- (+ (* h2 (/ (sqrt h0) h1)) (- (+ (* h2 (/ (sqrt h0) (pow h1 2))) (- (+ (* h2 (/ 1 (pow h1 2))) (- (+ (* h2 (/ 1 h1)) (- h2))))))))) (- (+ (* h2 (/ (sqrt h0) h1)) (- (+ (* h2 (/ (sqrt h0) (pow h1 2))) (- (+ (* h2 (/ 1 (pow h1 2))) (- (+ (* h2 (/ 1 h1)) (- h2))))))))) (+ (* 1/2 (/ (pow h1 2) (sqrt (* -1 (pow (sqrt h0) 2))))) (+ h1 (sqrt (* -1 (pow (sqrt h0) 2))))) (- (* 2 h1) (+ (* 1/8 (/ (pow (sqrt h0) 4) (pow h1 3))) (* 1/2 (/ (pow (sqrt h0) 2) h1)))) (- h1 (+ h2 (- (+ (* h2 (/ (sqrt h0) h1)) (- (* h2 (/ 1 h1))))))) 0.829 * * [simplify]: iteration 0 : 411 enodes (cost 797 ) 0.835 * * [simplify]: iteration 1 : 1417 enodes (cost 742 ) 0.860 * * [simplify]: iteration 2 : 5001 enodes (cost 724 ) 0.863 * * * [progress]: adding candidates to table 1.066 * [progress]: [Phase 3 of 3] Extracting. 1.068 * [simplify]: Simplifying: (log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))) 1.068 * [simplify]: Sending expressions to egg_math: (log (+ h1 (* (sqrt (+ h1 (sqrt h0))) (sqrt (- h1 (sqrt h0)))))) 1.069 * * [simplify]: iteration 0 : 13 enodes (cost 9 ) 1.069 * * [simplify]: iteration 1 : 13 enodes (cost 9 ) 2.510 * [regime-testing]: End program error score: 0.07483247437188661