5.098 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying: (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) 0.017 * [simplify]: Sending expressions to egg_math: (- (/ h1 (+ h0 h1)) (/ h1 h0)) 0.019 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.020 * * [simplify]: iteration 1 : 12 enodes (cost 4 ) 0.021 * * [simplify]: iteration 2 : 12 enodes (cost 4 ) 0.022 * * [progress]: iteration 1 / 4 0.022 * * * [progress]: picking best candidate 0.023 * * * * [pick]: Picked # 0.023 * * * [progress]: localizing error 0.028 * * * [progress]: generating rewritten candidates 0.028 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.089 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.102 * * * [progress]: generating series expansions 0.102 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.102 * [backup-simplify]: Simplify (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) into (- (* 1.0 (/ 1 (+ x 1.0))) (* 1.0 (/ 1 x))) 0.102 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ x 1.0))) (* 1.0 (/ 1 x))) in (x) around 0 0.102 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ x 1.0))) (* 1.0 (/ 1 x))) in x 0.102 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ x 1.0))) in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [backup-simplify]: Simplify 1.0 into 1.0 0.102 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.103 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.103 * [backup-simplify]: Simplify 1.0 into 1.0 0.103 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.104 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.104 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [backup-simplify]: Simplify 1.0 into 1.0 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [backup-simplify]: Simplify (/ 1 1) into 1 0.104 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ x 1.0))) (* 1.0 (/ 1 x))) in x 0.104 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ x 1.0))) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [backup-simplify]: Simplify 1.0 into 1.0 0.104 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 0.104 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [backup-simplify]: Simplify 1.0 into 1.0 0.104 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.105 * [backup-simplify]: Simplify (/ 1 1.0) into 1.0 0.105 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [backup-simplify]: Simplify 1.0 into 1.0 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [backup-simplify]: Simplify (/ 1 1) into 1 0.105 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.106 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.106 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 0.107 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.107 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 0.108 * [backup-simplify]: Simplify (- 0) into 0 0.108 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.108 * [backup-simplify]: Simplify 1.0 into 1.0 0.108 * [backup-simplify]: Simplify (+ 1 0) into 1 0.110 * [backup-simplify]: Simplify (- (+ (* 1.0 (/ 1 1.0)))) into (- 1.0) 0.111 * [backup-simplify]: Simplify (+ (* 1.0 (- 1.0)) (* 0 1.0)) into (- 1.0) 0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.111 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 0.112 * [backup-simplify]: Simplify (- 0) into 0 0.112 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0) 0.112 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.113 * [backup-simplify]: Simplify (+ (* (- 1.0) x) (+ 1.0 (* (- 1.0) (/ 1 x)))) into (- 1.0 (+ (* 1.0 x) (* 1.0 (/ 1 x)))) 0.113 * [backup-simplify]: Simplify (- (/ 1.0 (+ (/ 1 x) 1.0)) (/ 1.0 (/ 1 x))) into (- (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) (* 1.0 x)) 0.113 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) (* 1.0 x)) in (x) around 0 0.113 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) (* 1.0 x)) in x 0.113 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [backup-simplify]: Simplify 1.0 into 1.0 0.113 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.113 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [backup-simplify]: Simplify 1.0 into 1.0 0.113 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0.113 * [backup-simplify]: Simplify (/ 1 1) into 1 0.114 * [backup-simplify]: Simplify (+ 0 1) into 1 0.114 * [backup-simplify]: Simplify (/ 1 1) into 1 0.114 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.114 * [taylor]: Taking taylor expansion of 1.0 in x 0.114 * [backup-simplify]: Simplify 1.0 into 1.0 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) (* 1.0 x)) in x 0.114 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (+ 1.0 (/ 1 x)))) in x 0.114 * [taylor]: Taking taylor expansion of 1.0 in x 0.114 * [backup-simplify]: Simplify 1.0 into 1.0 0.114 * [taylor]: Taking taylor expansion of (/ 1 (+ 1.0 (/ 1 x))) in x 0.114 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.114 * [taylor]: Taking taylor expansion of 1.0 in x 0.114 * [backup-simplify]: Simplify 1.0 into 1.0 0.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.117 * [backup-simplify]: Simplify (+ 0 1) into 1 0.118 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [backup-simplify]: Simplify 1.0 into 1.0 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.118 * [backup-simplify]: Simplify (- 0) into 0 0.118 * [backup-simplify]: Simplify (+ 0 0) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 0.119 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.120 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.120 * [backup-simplify]: Simplify (+ 1.0 (- 1.0)) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 1.0 1)))) into (- 1.0) 0.123 * [backup-simplify]: Simplify (+ (* 1.0 (- 1.0)) (* 0 1)) into (- 1.0) 0.123 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.124 * [backup-simplify]: Simplify (- 0) into 0 0.124 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0) 0.124 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 1.0 1)))) into 1.0 0.129 * [backup-simplify]: Simplify (+ (* 1.0 1.0) (+ (* 0 (- 1.0)) (* 0 1))) into 1.0 0.129 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.129 * [backup-simplify]: Simplify (- 0) into 0 0.130 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.130 * [backup-simplify]: Simplify 1.0 into 1.0 0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.130 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 0 1)) (* 1.0 (/ 1.0 1)))) into (- 1.0) 0.134 * [backup-simplify]: Simplify (+ (* 1.0 (- 1.0)) (+ (* 0 1.0) (+ (* 0 (- 1.0)) (* 0 1)))) into (- 1.0) 0.135 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.135 * [backup-simplify]: Simplify (- 0) into 0 0.136 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0) 0.136 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.137 * [backup-simplify]: Simplify (+ (* (- 1.0) (pow (/ 1 x) 4)) (+ (* 1.0 (pow (/ 1 x) 3)) (* (- 1.0) (pow (/ 1 x) 2)))) into (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) 0.137 * [backup-simplify]: Simplify (- (/ 1.0 (+ (/ 1 (- x)) 1.0)) (/ 1.0 (/ 1 (- x)))) into (+ (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) (* 1.0 x)) 0.137 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) (* 1.0 x)) in (x) around 0 0.137 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) (* 1.0 x)) in x 0.137 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [backup-simplify]: Simplify 1.0 into 1.0 0.137 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.137 * [taylor]: Taking taylor expansion of 1.0 in x 0.137 * [backup-simplify]: Simplify 1.0 into 1.0 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [backup-simplify]: Simplify (- 1) into -1 0.138 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.138 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.138 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.138 * [taylor]: Taking taylor expansion of 1.0 in x 0.138 * [backup-simplify]: Simplify 1.0 into 1.0 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) (* 1.0 x)) in x 0.138 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- 1.0 (/ 1 x)))) in x 0.138 * [taylor]: Taking taylor expansion of 1.0 in x 0.138 * [backup-simplify]: Simplify 1.0 into 1.0 0.138 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 0.138 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.138 * [taylor]: Taking taylor expansion of 1.0 in x 0.138 * [backup-simplify]: Simplify 1.0 into 1.0 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [backup-simplify]: Simplify (- 1) into -1 0.139 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.139 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.139 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.139 * [taylor]: Taking taylor expansion of 1.0 in x 0.139 * [backup-simplify]: Simplify 1.0 into 1.0 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (* 1.0 0) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (* 1.0 -1) into -1.0 0.141 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 0.141 * [backup-simplify]: Simplify (+ -1.0 1.0) into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (- 0) into 0 0.142 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.143 * [backup-simplify]: Simplify (- (+ (* -1 (/ 1.0 -1)))) into (- 1.0) 0.144 * [backup-simplify]: Simplify (+ (* 1.0 (- 1.0)) (* 0 -1)) into (- 1.0) 0.145 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 0.145 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0) 0.145 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)))) into (- 1.0) 0.150 * [backup-simplify]: Simplify (+ (* 1.0 (- 1.0)) (+ (* 0 (- 1.0)) (* 0 -1))) into (- 1.0) 0.150 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.151 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0) 0.151 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (- 0) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- 1.0) (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)))) into (- 1.0) 0.156 * [backup-simplify]: Simplify (+ (* 1.0 (- 1.0)) (+ (* 0 (- 1.0)) (+ (* 0 (- 1.0)) (* 0 -1)))) into (- 1.0) 0.157 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.157 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0) 0.157 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.158 * [backup-simplify]: Simplify (+ (* (- 1.0) (pow (/ 1 (- x)) 4)) (+ (* (- 1.0) (pow (/ 1 (- x)) 3)) (* (- 1.0) (pow (/ 1 (- x)) 2)))) into (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) 0.158 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.159 * [backup-simplify]: Simplify (/ 1.0 (+ x 1.0)) into (/ 1.0 (+ x 1.0)) 0.159 * [approximate]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in (x) around 0 0.159 * [taylor]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [backup-simplify]: Simplify 1.0 into 1.0 0.159 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [backup-simplify]: Simplify 1.0 into 1.0 0.159 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.159 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.159 * [taylor]: Taking taylor expansion of (/ 1.0 (+ x 1.0)) in x 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [backup-simplify]: Simplify 1.0 into 1.0 0.159 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [backup-simplify]: Simplify 1.0 into 1.0 0.160 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.160 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 0.160 * [backup-simplify]: Simplify 1.0 into 1.0 0.160 * [backup-simplify]: Simplify (+ 1 0) into 1 0.162 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 1 1.0)))) into (- 1.0) 0.162 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 1.0) (/ 1 1.0)))) into 1.0 0.164 * [backup-simplify]: Simplify 1.0 into 1.0 0.165 * [backup-simplify]: Simplify (+ (* 1.0 (pow x 2)) (+ (* (- 1.0) x) 1.0)) into (- (+ (* 1.0 (pow x 2)) 1.0) (* 1.0 x)) 0.165 * [backup-simplify]: Simplify (/ 1.0 (+ (/ 1 x) 1.0)) into (/ 1.0 (+ 1.0 (/ 1 x))) 0.165 * [approximate]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in (x) around 0 0.165 * [taylor]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [backup-simplify]: Simplify 1.0 into 1.0 0.165 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [backup-simplify]: Simplify 1.0 into 1.0 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [backup-simplify]: Simplify (+ 0 1) into 1 0.166 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.166 * [taylor]: Taking taylor expansion of (/ 1.0 (+ 1.0 (/ 1 x))) in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * [backup-simplify]: Simplify 1.0 into 1.0 0.166 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * [backup-simplify]: Simplify 1.0 into 1.0 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [backup-simplify]: Simplify (+ 0 1) into 1 0.167 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.167 * [backup-simplify]: Simplify 1.0 into 1.0 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 1.0 1)))) into (- 1.0) 0.169 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* (- 1.0) (/ 1.0 1)))) into 1.0 0.172 * [backup-simplify]: Simplify 1.0 into 1.0 0.173 * [backup-simplify]: Simplify (+ (* 1.0 (pow (/ 1 x) 3)) (+ (* (- 1.0) (pow (/ 1 x) 2)) (* 1.0 (/ 1 x)))) into (- (+ (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (* 1.0 (/ 1 (pow x 2)))) 0.173 * [backup-simplify]: Simplify (/ 1.0 (+ (/ 1 (- x)) 1.0)) into (/ 1.0 (- 1.0 (/ 1 x))) 0.173 * [approximate]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in (x) around 0 0.173 * [taylor]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in x 0.173 * [taylor]: Taking taylor expansion of 1.0 in x 0.173 * [backup-simplify]: Simplify 1.0 into 1.0 0.173 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.173 * [taylor]: Taking taylor expansion of 1.0 in x 0.173 * [backup-simplify]: Simplify 1.0 into 1.0 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 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [backup-simplify]: Simplify (- 1) into -1 0.174 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.174 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 0.174 * [taylor]: Taking taylor expansion of (/ 1.0 (- 1.0 (/ 1 x))) in x 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.174 * [backup-simplify]: Simplify 1.0 into 1.0 0.174 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.174 * [backup-simplify]: Simplify 1.0 into 1.0 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0.175 * [backup-simplify]: Simplify (- 1) into -1 0.175 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.175 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 0.175 * [backup-simplify]: Simplify -1.0 into -1.0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (- 0) into 0 0.176 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.178 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1.0 (/ 1.0 -1)))) into (- 1.0) 0.178 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (- 0) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.181 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1.0 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)))) into (- 1.0) 0.182 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.182 * [backup-simplify]: Simplify (+ (* (- 1.0) (pow (/ 1 (- x)) 3)) (+ (* (- 1.0) (pow (/ 1 (- x)) 2)) (* -1.0 (/ 1 (- x))))) into (- (+ (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (* 1.0 (/ 1 (pow x 2)))) 0.182 * * * [progress]: simplifying candidates 0.183 * [simplify]: Simplifying: (/ (exp (/ 1.0 (+ x 1.0))) (exp (/ 1.0 x))) (log (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (exp (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (* (cbrt (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (cbrt (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)))) (cbrt (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (* (* (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (sqrt (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (sqrt (- (/ 1.0 (+ x 1.0)) (/ 1.0 x))) (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x) (- (pow (/ 1.0 (+ x 1.0)) 3) (pow (/ 1.0 x) 3)) (+ (* (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0))) (+ (* (/ 1.0 x) (/ 1.0 x)) (* (/ 1.0 (+ x 1.0)) (/ 1.0 x)))) (- (/ 1.0 x)) (- (* (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0))) (* (/ 1.0 x) (/ 1.0 x))) (+ (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (+ (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 x))) (- (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 x))) (+ (sqrt (/ 1.0 (+ x 1.0))) (/ (sqrt 1.0) (sqrt x))) (- (sqrt (/ 1.0 (+ x 1.0))) (/ (sqrt 1.0) (sqrt x))) (+ (/ (sqrt 1.0) (sqrt (+ x 1.0))) (sqrt (/ 1.0 x))) (- (/ (sqrt 1.0) (sqrt (+ x 1.0))) (sqrt (/ 1.0 x))) (+ (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt x))) (- (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt x))) (- (/ (cbrt 1.0) (+ x 1.0)) (/ (cbrt 1.0) x)) (- (/ (cbrt 1.0) (+ x 1.0)) (/ (cbrt 1.0) x)) (- (/ (sqrt 1.0) (+ x 1.0)) (/ (sqrt 1.0) x)) (- (/ (sqrt 1.0) (+ x 1.0)) (/ (sqrt 1.0) x)) (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (- (/ 1.0 (+ x 1.0)) (/ 1.0 x)) (- (/ 1 (+ x 1.0)) (/ 1 x)) (- (/ 1.0 x)) (- (log 1.0) (log (+ x 1.0))) (log (/ 1.0 (+ x 1.0))) (exp (/ 1.0 (+ x 1.0))) (/ (* (* 1.0 1.0) 1.0) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (* (cbrt (/ 1.0 (+ x 1.0))) (cbrt (/ 1.0 (+ x 1.0)))) (cbrt (/ 1.0 (+ x 1.0))) (* (* (/ 1.0 (+ x 1.0)) (/ 1.0 (+ x 1.0))) (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (sqrt (/ 1.0 (+ x 1.0))) (- 1.0) (- (+ x 1.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (cbrt 1.0) (cbrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ x 1.0))) (/ (cbrt 1.0) (sqrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ x 1.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ x 1.0)) (/ (sqrt 1.0) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ (sqrt 1.0) (cbrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) (sqrt (+ x 1.0))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ x 1.0)) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (+ x 1.0)) (/ 1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ 1.0 (cbrt (+ x 1.0))) (/ 1 (sqrt (+ x 1.0))) (/ 1.0 (sqrt (+ x 1.0))) (/ 1 1) (/ 1.0 (+ x 1.0)) (/ 1 1) (/ 1.0 (+ x 1.0)) (/ 1 (+ x 1.0)) (/ (+ x 1.0) 1.0) (/ 1.0 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (/ 1.0 (sqrt (+ x 1.0))) (/ 1.0 1) (/ 1.0 1) (/ (+ x 1.0) (cbrt 1.0)) (/ (+ x 1.0) (sqrt 1.0)) (/ (+ x 1.0) 1.0) (/ 1.0 (+ (pow x 3) (pow 1.0 3))) (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 1.0 (+ (* 1.0 x) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (- (+ (* 1.0 (pow x 2)) 1.0) (* 1.0 x)) (- (+ (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (* 1.0 (/ 1 (pow x 2)))) (- (+ (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (pow x 3)))) (* 1.0 (/ 1 (pow x 2)))) 0.184 * [simplify]: Sending expressions to egg_math: (/ (exp (/ h1 (+ h0 h1))) (exp (/ h1 h0))) (log (- (/ h1 (+ h0 h1)) (/ h1 h0))) (exp (- (/ h1 (+ h0 h1)) (/ h1 h0))) (* (cbrt (- (/ h1 (+ h0 h1)) (/ h1 h0))) (cbrt (- (/ h1 (+ h0 h1)) (/ h1 h0)))) (cbrt (- (/ h1 (+ h0 h1)) (/ h1 h0))) (* (* (- (/ h1 (+ h0 h1)) (/ h1 h0)) (- (/ h1 (+ h0 h1)) (/ h1 h0))) (- (/ h1 (+ h0 h1)) (/ h1 h0))) (sqrt (- (/ h1 (+ h0 h1)) (/ h1 h0))) (sqrt (- (/ h1 (+ h0 h1)) (/ h1 h0))) (- (* h1 h0) (* (+ h0 h1) h1)) (* (+ h0 h1) h0) (- (pow (/ h1 (+ h0 h1)) 3) (pow (/ h1 h0) 3)) (+ (* (/ h1 (+ h0 h1)) (/ h1 (+ h0 h1))) (+ (* (/ h1 h0) (/ h1 h0)) (* (/ h1 (+ h0 h1)) (/ h1 h0)))) (- (/ h1 h0)) (- (* (/ h1 (+ h0 h1)) (/ h1 (+ h0 h1))) (* (/ h1 h0) (/ h1 h0))) (+ (/ h1 (+ h0 h1)) (/ h1 h0)) (+ (sqrt (/ h1 (+ h0 h1))) (sqrt (/ h1 h0))) (- (sqrt (/ h1 (+ h0 h1))) (sqrt (/ h1 h0))) (+ (sqrt (/ h1 (+ h0 h1))) (/ (sqrt h1) (sqrt h0))) (- (sqrt (/ h1 (+ h0 h1))) (/ (sqrt h1) (sqrt h0))) (+ (/ (sqrt h1) (sqrt (+ h0 h1))) (sqrt (/ h1 h0))) (- (/ (sqrt h1) (sqrt (+ h0 h1))) (sqrt (/ h1 h0))) (+ (/ (sqrt h1) (sqrt (+ h0 h1))) (/ (sqrt h1) (sqrt h0))) (- (/ (sqrt h1) (sqrt (+ h0 h1))) (/ (sqrt h1) (sqrt h0))) (- (/ (cbrt h1) (+ h0 h1)) (/ (cbrt h1) h0)) (- (/ (cbrt h1) (+ h0 h1)) (/ (cbrt h1) h0)) (- (/ (sqrt h1) (+ h0 h1)) (/ (sqrt h1) h0)) (- (/ (sqrt h1) (+ h0 h1)) (/ (sqrt h1) h0)) (- (/ h1 (+ h0 h1)) (/ h1 h0)) (- (/ h1 (+ h0 h1)) (/ h1 h0)) (- (/ h1 (+ h0 h1)) (/ h1 h0)) (- (/ 1 (+ h0 h1)) (/ 1 h0)) (- (/ h1 h0)) (- (log h1) (log (+ h0 h1))) (log (/ h1 (+ h0 h1))) (exp (/ h1 (+ h0 h1))) (/ (* (* h1 h1) h1) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (/ h1 (+ h0 h1))) (cbrt (/ h1 (+ h0 h1)))) (cbrt (/ h1 (+ h0 h1))) (* (* (/ h1 (+ h0 h1)) (/ h1 (+ h0 h1))) (/ h1 (+ h0 h1))) (sqrt (/ h1 (+ h0 h1))) (sqrt (/ h1 (+ h0 h1))) (- h1) (- (+ h0 h1)) (/ (* (cbrt h1) (cbrt h1)) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (cbrt h1) (cbrt (+ h0 h1))) (/ (* (cbrt h1) (cbrt h1)) (sqrt (+ h0 h1))) (/ (cbrt h1) (sqrt (+ h0 h1))) (/ (* (cbrt h1) (cbrt h1)) 1) (/ (cbrt h1) (+ h0 h1)) (/ (* (cbrt h1) (cbrt h1)) 1) (/ (cbrt h1) (+ h0 h1)) (/ (sqrt h1) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ (sqrt h1) (cbrt (+ h0 h1))) (/ (sqrt h1) (sqrt (+ h0 h1))) (/ (sqrt h1) (sqrt (+ h0 h1))) (/ (sqrt h1) 1) (/ (sqrt h1) (+ h0 h1)) (/ (sqrt h1) 1) (/ (sqrt h1) (+ h0 h1)) (/ 1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ h1 (cbrt (+ h0 h1))) (/ 1 (sqrt (+ h0 h1))) (/ h1 (sqrt (+ h0 h1))) (/ 1 1) (/ h1 (+ h0 h1)) (/ 1 1) (/ h1 (+ h0 h1)) (/ 1 (+ h0 h1)) (/ (+ h0 h1) h1) (/ h1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (/ h1 (sqrt (+ h0 h1))) (/ h1 1) (/ h1 1) (/ (+ h0 h1) (cbrt h1)) (/ (+ h0 h1) (sqrt h1)) (/ (+ h0 h1) h1) (/ h1 (+ (pow h0 3) (pow h1 3))) (/ h1 (- (* h0 h0) (* h1 h1))) (- h1 (+ (* h1 h0) (* h1 (/ 1 h0)))) (- (* h1 (/ 1 (pow h0 3))) (+ (* h1 (/ 1 (pow h0 2))) (* h1 (/ 1 (pow h0 4))))) (- (* h1 (/ 1 (pow h0 3))) (+ (* h1 (/ 1 (pow h0 2))) (* h1 (/ 1 (pow h0 4))))) (- (+ (* h1 (pow h0 2)) h1) (* h1 h0)) (- (+ (* h1 (/ 1 h0)) (* h1 (/ 1 (pow h0 3)))) (* h1 (/ 1 (pow h0 2)))) (- (+ (* h1 (/ 1 h0)) (* h1 (/ 1 (pow h0 3)))) (* h1 (/ 1 (pow h0 2)))) 0.188 * * [simplify]: iteration 0 : 266 enodes (cost 392 ) 0.192 * * [simplify]: iteration 1 : 898 enodes (cost 369 ) 0.209 * * [simplify]: iteration 2 : 4185 enodes (cost 367 ) 0.337 * * [simplify]: iteration 3 : 5001 enodes (cost 367 ) 0.340 * * * [progress]: adding candidates to table 0.453 * * [progress]: iteration 2 / 4 0.453 * * * [progress]: picking best candidate 0.459 * * * * [pick]: Picked # 0.459 * * * [progress]: localizing error 0.465 * * * [progress]: generating rewritten candidates 0.465 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 0.480 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.517 * * * [progress]: generating series expansions 0.517 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 0.518 * [backup-simplify]: Simplify (- x (+ x 1.0)) into (- 1.0) 0.518 * [approximate]: Taking taylor expansion of (- 1.0) in (x) around 0 0.518 * [taylor]: Taking taylor expansion of (- 1.0) in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * [backup-simplify]: Simplify 1.0 into 1.0 0.518 * [taylor]: Taking taylor expansion of (- 1.0) in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * [backup-simplify]: Simplify 1.0 into 1.0 0.518 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.519 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.519 * [backup-simplify]: Simplify (- 0) into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify (- 0) into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify (- 0) into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (- 0) into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (- 0) into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (- 0) into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.520 * [backup-simplify]: Simplify (- (/ 1 x) (+ (/ 1 x) 1.0)) into (- 1.0) 0.520 * [approximate]: Taking taylor expansion of (- 1.0) in (x) around 0 0.520 * [taylor]: Taking taylor expansion of (- 1.0) in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * [backup-simplify]: Simplify 1.0 into 1.0 0.520 * [taylor]: Taking taylor expansion of (- 1.0) in x 0.521 * [taylor]: Taking taylor expansion of 1.0 in x 0.521 * [backup-simplify]: Simplify 1.0 into 1.0 0.521 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.521 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.521 * [backup-simplify]: Simplify (- 0) into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify (- 0) into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.523 * [backup-simplify]: Simplify (- (/ 1 (- x)) (+ (/ 1 (- x)) 1.0)) into (- 1.0) 0.523 * [approximate]: Taking taylor expansion of (- 1.0) in (x) around 0 0.523 * [taylor]: Taking taylor expansion of (- 1.0) in x 0.523 * [taylor]: Taking taylor expansion of 1.0 in x 0.523 * [backup-simplify]: Simplify 1.0 into 1.0 0.523 * [taylor]: Taking taylor expansion of (- 1.0) in x 0.523 * [taylor]: Taking taylor expansion of 1.0 in x 0.523 * [backup-simplify]: Simplify 1.0 into 1.0 0.523 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.523 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.524 * [backup-simplify]: Simplify (- 0) into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (- 0) into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (- 0) into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify (- 0) into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify (- 0) into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify (- 0) into 0 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.525 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.525 * [backup-simplify]: Simplify (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x)) into (/ -1.0 (* x (+ x 1.0))) 0.525 * [approximate]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in (x) around 0 0.525 * [taylor]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in x 0.525 * [taylor]: Taking taylor expansion of -1.0 in x 0.525 * [backup-simplify]: Simplify -1.0 into -1.0 0.525 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify 1 into 1 0.525 * [taylor]: Taking taylor expansion of 1.0 in x 0.525 * [backup-simplify]: Simplify 1.0 into 1.0 0.526 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.526 * [backup-simplify]: Simplify (* 0 1.0) into 0 0.526 * [backup-simplify]: Simplify (+ 1 0) into 1 0.527 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 0.527 * [backup-simplify]: Simplify (/ -1.0 1.0) into -1.0 0.527 * [taylor]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in x 0.527 * [taylor]: Taking taylor expansion of -1.0 in x 0.527 * [backup-simplify]: Simplify -1.0 into -1.0 0.527 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [taylor]: Taking taylor expansion of 1.0 in x 0.527 * [backup-simplify]: Simplify 1.0 into 1.0 0.528 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.528 * [backup-simplify]: Simplify (* 0 1.0) into 0 0.528 * [backup-simplify]: Simplify (+ 1 0) into 1 0.529 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 0.529 * [backup-simplify]: Simplify (/ -1.0 1.0) into -1.0 0.529 * [backup-simplify]: Simplify -1.0 into -1.0 0.529 * [backup-simplify]: Simplify (+ 0 0) into 0 0.530 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 0.532 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* -1.0 (/ 1 1.0)))) into 1.0 0.532 * [backup-simplify]: Simplify 1.0 into 1.0 0.532 * [backup-simplify]: Simplify (+ 0 0) into 0 0.532 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 0.534 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* -1.0 (/ 0 1.0)) (* 1.0 (/ 1 1.0)))) into (- 1.0) 0.535 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.535 * [backup-simplify]: Simplify (+ (* (- 1.0) x) (+ 1.0 (* -1.0 (/ 1 x)))) into (- 1.0 (+ (* 1.0 x) (* 1.0 (/ 1 x)))) 0.535 * [backup-simplify]: Simplify (/ (* 1.0 (- (/ 1 x) (+ (/ 1 x) 1.0))) (* (+ (/ 1 x) 1.0) (/ 1 x))) into (* -1.0 (/ x (+ 1.0 (/ 1 x)))) 0.535 * [approximate]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in (x) around 0 0.535 * [taylor]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in x 0.535 * [taylor]: Taking taylor expansion of -1.0 in x 0.535 * [backup-simplify]: Simplify -1.0 into -1.0 0.535 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.535 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.535 * [taylor]: Taking taylor expansion of 1.0 in x 0.535 * [backup-simplify]: Simplify 1.0 into 1.0 0.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify (/ 1 1) into 1 0.536 * [backup-simplify]: Simplify (+ 0 1) into 1 0.536 * [backup-simplify]: Simplify (/ 1 1) into 1 0.536 * [taylor]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in x 0.536 * [taylor]: Taking taylor expansion of -1.0 in x 0.536 * [backup-simplify]: Simplify -1.0 into -1.0 0.536 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.536 * [taylor]: Taking taylor expansion of 1.0 in x 0.536 * [backup-simplify]: Simplify 1.0 into 1.0 0.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.537 * [backup-simplify]: Simplify (/ 1 1) into 1 0.537 * [backup-simplify]: Simplify (+ 0 1) into 1 0.537 * [backup-simplify]: Simplify (/ 1 1) into 1 0.537 * [backup-simplify]: Simplify (* -1.0 1) into -1.0 0.537 * [backup-simplify]: Simplify -1.0 into -1.0 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 1.0 1)))) into (- 1.0) 0.541 * [backup-simplify]: Simplify (+ (* -1.0 (- 1.0)) (* 0 1)) into 1.0 0.541 * [backup-simplify]: Simplify 1.0 into 1.0 0.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ 0 0) into 0 0.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 1.0 1)))) into 1.0 0.545 * [backup-simplify]: Simplify (+ (* -1.0 1.0) (+ (* 0 (- 1.0)) (* 0 1))) into (- 1.0) 0.545 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.546 * [backup-simplify]: Simplify (+ (* (- 1.0) (pow (/ 1 x) 4)) (+ (* 1.0 (pow (/ 1 x) 3)) (* -1.0 (pow (/ 1 x) 2)))) into (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) 0.546 * [backup-simplify]: Simplify (/ (* 1.0 (- (/ 1 (- x)) (+ (/ 1 (- x)) 1.0))) (* (+ (/ 1 (- x)) 1.0) (/ 1 (- x)))) into (* 1.0 (/ x (- 1.0 (/ 1 x)))) 0.546 * [approximate]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in (x) around 0 0.546 * [taylor]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [backup-simplify]: Simplify 1.0 into 1.0 0.546 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (/ 1 x))) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 1 into 1 0.546 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [backup-simplify]: Simplify 1.0 into 1.0 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify (/ 1 1) into 1 0.547 * [backup-simplify]: Simplify (- 1) into -1 0.547 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.547 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.547 * [taylor]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [backup-simplify]: Simplify 1.0 into 1.0 0.547 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (/ 1 x))) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [backup-simplify]: Simplify 1.0 into 1.0 0.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (/ 1 1) into 1 0.548 * [backup-simplify]: Simplify (- 1) into -1 0.548 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.548 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.549 * [backup-simplify]: Simplify (* 1.0 -1) into -1.0 0.549 * [backup-simplify]: Simplify -1.0 into -1.0 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (- 0) into 0 0.550 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.551 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 1.0) 0.552 * [backup-simplify]: Simplify (+ (* 1.0 (- 1.0)) (* 0 -1)) into (- 1.0) 0.552 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (- 0) into 0 0.553 * [backup-simplify]: Simplify (+ 0 0) into 0 0.555 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)))) into (- 1.0) 0.557 * [backup-simplify]: Simplify (+ (* 1.0 (- 1.0)) (+ (* 0 (- 1.0)) (* 0 -1))) into (- 1.0) 0.557 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.558 * [backup-simplify]: Simplify (+ (* (- 1.0) (pow (/ 1 (- x)) 4)) (+ (* (- 1.0) (pow (/ 1 (- x)) 3)) (* -1.0 (pow (/ 1 (- x)) 2)))) into (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) 0.558 * * * [progress]: simplifying candidates 0.559 * [simplify]: Simplifying: (/ (exp x) (* (exp x) (exp 1.0))) (/ (exp x) (exp (+ x 1.0))) (log (- x (+ x 1.0))) (exp (- x (+ x 1.0))) (* (cbrt (- x (+ x 1.0))) (cbrt (- x (+ x 1.0)))) (cbrt (- x (+ x 1.0))) (* (* (- x (+ x 1.0)) (- x (+ x 1.0))) (- x (+ x 1.0))) (sqrt (- x (+ x 1.0))) (sqrt (- x (+ x 1.0))) (- (pow x 3) (pow (+ x 1.0) 3)) (+ (* x x) (+ (* (+ x 1.0) (+ x 1.0)) (* x (+ x 1.0)))) (- (+ x 1.0)) (- (* x x) (* (+ x 1.0) (+ x 1.0))) (+ x (+ x 1.0)) (+ (sqrt x) (sqrt (+ x 1.0))) (- (sqrt x) (sqrt (+ x 1.0))) (- x (+ x 1.0)) (- x (+ x 1.0)) (- x x) (- (+ x 1.0)) (- (+ (log 1.0) (log (- x (+ x 1.0)))) (+ (log (+ x 1.0)) (log x))) (- (+ (log 1.0) (log (- x (+ x 1.0)))) (log (* (+ x 1.0) x))) (- (log (* 1.0 (- x (+ x 1.0)))) (+ (log (+ x 1.0)) (log x))) (- (log (* 1.0 (- x (+ x 1.0)))) (log (* (+ x 1.0) x))) (log (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (exp (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (- x (+ x 1.0)) (- x (+ x 1.0))) (- x (+ x 1.0)))) (* (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* x x) x))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (- x (+ x 1.0)) (- x (+ x 1.0))) (- x (+ x 1.0)))) (* (* (* (+ x 1.0) x) (* (+ x 1.0) x)) (* (+ x 1.0) x))) (/ (* (* (* 1.0 (- x (+ x 1.0))) (* 1.0 (- x (+ x 1.0)))) (* 1.0 (- x (+ x 1.0)))) (* (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* x x) x))) (/ (* (* (* 1.0 (- x (+ x 1.0))) (* 1.0 (- x (+ x 1.0)))) (* 1.0 (- x (+ x 1.0)))) (* (* (* (+ x 1.0) x) (* (+ x 1.0) x)) (* (+ x 1.0) x))) (* (cbrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (cbrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x)))) (cbrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (* (* (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x)) (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (sqrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (sqrt (/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))) (- (* 1.0 (- x (+ x 1.0)))) (- (* (+ x 1.0) x)) (/ 1.0 (+ x 1.0)) (/ (- x (+ x 1.0)) x) (/ 1 (* (+ x 1.0) x)) (/ (* (+ x 1.0) x) (* 1.0 (- x (+ x 1.0)))) (/ (* 1.0 (- x (+ x 1.0))) (+ x 1.0)) (/ (* (+ x 1.0) x) (- x (+ x 1.0))) (/ (* 1.0 (- x (+ x 1.0))) (* (+ (pow x 3) (pow 1.0 3)) x)) (/ (* 1.0 (- x (+ x 1.0))) (* (- (* x x) (* 1.0 1.0)) x)) (* (* (+ x 1.0) x) (+ (* x x) (+ (* (+ x 1.0) (+ x 1.0)) (* x (+ x 1.0))))) (* (* (+ x 1.0) x) (+ x (+ x 1.0))) (- 1.0) (- 1.0) (- 1.0) (- 1.0 (+ (* 1.0 x) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) 0.559 * [simplify]: Sending expressions to egg_math: (/ (exp h1) (* (exp h1) (exp h0))) (/ (exp h1) (exp (+ h1 h0))) (log (- h1 (+ h1 h0))) (exp (- h1 (+ h1 h0))) (* (cbrt (- h1 (+ h1 h0))) (cbrt (- h1 (+ h1 h0)))) (cbrt (- h1 (+ h1 h0))) (* (* (- h1 (+ h1 h0)) (- h1 (+ h1 h0))) (- h1 (+ h1 h0))) (sqrt (- h1 (+ h1 h0))) (sqrt (- h1 (+ h1 h0))) (- (pow h1 3) (pow (+ h1 h0) 3)) (+ (* h1 h1) (+ (* (+ h1 h0) (+ h1 h0)) (* h1 (+ h1 h0)))) (- (+ h1 h0)) (- (* h1 h1) (* (+ h1 h0) (+ h1 h0))) (+ h1 (+ h1 h0)) (+ (sqrt h1) (sqrt (+ h1 h0))) (- (sqrt h1) (sqrt (+ h1 h0))) (- h1 (+ h1 h0)) (- h1 (+ h1 h0)) (- h1 h1) (- (+ h1 h0)) (- (+ (log h0) (log (- h1 (+ h1 h0)))) (+ (log (+ h1 h0)) (log h1))) (- (+ (log h0) (log (- h1 (+ h1 h0)))) (log (* (+ h1 h0) h1))) (- (log (* h0 (- h1 (+ h1 h0)))) (+ (log (+ h1 h0)) (log h1))) (- (log (* h0 (- h1 (+ h1 h0)))) (log (* (+ h1 h0) h1))) (log (/ (* h0 (- h1 (+ h1 h0))) (* (+ h1 h0) h1))) (exp (/ (* h0 (- h1 (+ h1 h0))) (* (+ h1 h0) h1))) (/ (* (* (* h0 h0) h0) (* (* (- h1 (+ h1 h0)) (- h1 (+ h1 h0))) (- h1 (+ h1 h0)))) (* (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0)) (* (* h1 h1) h1))) (/ (* (* (* h0 h0) h0) (* (* (- h1 (+ h1 h0)) (- h1 (+ h1 h0))) (- h1 (+ h1 h0)))) (* (* (* (+ h1 h0) h1) (* (+ h1 h0) h1)) (* (+ h1 h0) h1))) (/ (* (* (* h0 (- h1 (+ h1 h0))) (* h0 (- h1 (+ h1 h0)))) (* h0 (- h1 (+ h1 h0)))) (* (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0)) (* (* h1 h1) h1))) (/ (* (* (* h0 (- h1 (+ h1 h0))) (* h0 (- h1 (+ h1 h0)))) (* h0 (- h1 (+ h1 h0)))) (* (* (* (+ h1 h0) h1) (* (+ h1 h0) h1)) (* (+ h1 h0) h1))) (* (cbrt (/ (* h0 (- h1 (+ h1 h0))) (* (+ h1 h0) h1))) (cbrt (/ (* h0 (- h1 (+ h1 h0))) (* (+ h1 h0) h1)))) (cbrt (/ (* h0 (- h1 (+ h1 h0))) (* (+ h1 h0) h1))) (* (* (/ (* h0 (- h1 (+ h1 h0))) (* (+ h1 h0) h1)) (/ (* h0 (- h1 (+ h1 h0))) (* (+ h1 h0) h1))) (/ (* h0 (- h1 (+ h1 h0))) (* (+ h1 h0) h1))) (sqrt (/ (* h0 (- h1 (+ h1 h0))) (* (+ h1 h0) h1))) (sqrt (/ (* h0 (- h1 (+ h1 h0))) (* (+ h1 h0) h1))) (- (* h0 (- h1 (+ h1 h0)))) (- (* (+ h1 h0) h1)) (/ h0 (+ h1 h0)) (/ (- h1 (+ h1 h0)) h1) (/ 1 (* (+ h1 h0) h1)) (/ (* (+ h1 h0) h1) (* h0 (- h1 (+ h1 h0)))) (/ (* h0 (- h1 (+ h1 h0))) (+ h1 h0)) (/ (* (+ h1 h0) h1) (- h1 (+ h1 h0))) (/ (* h0 (- h1 (+ h1 h0))) (* (+ (pow h1 3) (pow h0 3)) h1)) (/ (* h0 (- h1 (+ h1 h0))) (* (- (* h1 h1) (* h0 h0)) h1)) (* (* (+ h1 h0) h1) (+ (* h1 h1) (+ (* (+ h1 h0) (+ h1 h0)) (* h1 (+ h1 h0))))) (* (* (+ h1 h0) h1) (+ h1 (+ h1 h0))) (- h0) (- h0) (- h0) (- h0 (+ (* h0 h1) (* h0 (/ 1 h1)))) (- (* h0 (/ 1 (pow h1 3))) (+ (* h0 (/ 1 (pow h1 2))) (* h0 (/ 1 (pow h1 4))))) (- (* h0 (/ 1 (pow h1 3))) (+ (* h0 (/ 1 (pow h1 2))) (* h0 (/ 1 (pow h1 4))))) 0.563 * * [simplify]: iteration 0 : 322 enodes (cost 315 ) 0.569 * * [simplify]: iteration 1 : 1765 enodes (cost 251 ) 0.602 * * [simplify]: iteration 2 : 5001 enodes (cost 242 ) 0.604 * * * [progress]: adding candidates to table 0.675 * * [progress]: iteration 3 / 4 0.675 * * * [progress]: picking best candidate 0.682 * * * * [pick]: Picked # 0.682 * * * [progress]: localizing error 0.689 * * * [progress]: generating rewritten candidates 0.689 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.741 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.807 * * * [progress]: generating series expansions 0.807 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.808 * [backup-simplify]: Simplify (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x) into (/ -1.0 (* x (+ x 1.0))) 0.808 * [approximate]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in (x) around 0 0.808 * [taylor]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in x 0.808 * [taylor]: Taking taylor expansion of -1.0 in x 0.808 * [backup-simplify]: Simplify -1.0 into -1.0 0.808 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 1 into 1 0.808 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.808 * [taylor]: Taking taylor expansion of x in x 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 1 into 1 0.808 * [taylor]: Taking taylor expansion of 1.0 in x 0.808 * [backup-simplify]: Simplify 1.0 into 1.0 0.808 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.808 * [backup-simplify]: Simplify (* 0 1.0) into 0 0.809 * [backup-simplify]: Simplify (+ 1 0) into 1 0.809 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 0.810 * [backup-simplify]: Simplify (/ -1.0 1.0) into -1.0 0.810 * [taylor]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in x 0.810 * [taylor]: Taking taylor expansion of -1.0 in x 0.810 * [backup-simplify]: Simplify -1.0 into -1.0 0.810 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 1 into 1 0.810 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 1 into 1 0.810 * [taylor]: Taking taylor expansion of 1.0 in x 0.810 * [backup-simplify]: Simplify 1.0 into 1.0 0.810 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.810 * [backup-simplify]: Simplify (* 0 1.0) into 0 0.811 * [backup-simplify]: Simplify (+ 1 0) into 1 0.811 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 0.812 * [backup-simplify]: Simplify (/ -1.0 1.0) into -1.0 0.812 * [backup-simplify]: Simplify -1.0 into -1.0 0.812 * [backup-simplify]: Simplify (+ 0 0) into 0 0.812 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 0.814 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* -1.0 (/ 1 1.0)))) into 1.0 0.814 * [backup-simplify]: Simplify 1.0 into 1.0 0.814 * [backup-simplify]: Simplify (+ 0 0) into 0 0.815 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 0.817 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* -1.0 (/ 0 1.0)) (* 1.0 (/ 1 1.0)))) into (- 1.0) 0.817 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.817 * [backup-simplify]: Simplify (+ (* (- 1.0) x) (+ 1.0 (* -1.0 (/ 1 x)))) into (- 1.0 (+ (* 1.0 x) (* 1.0 (/ 1 x)))) 0.818 * [backup-simplify]: Simplify (/ (/ 1.0 (/ (+ (/ 1 x) 1.0) (- 0 1.0))) (/ 1 x)) into (* -1.0 (/ x (+ 1.0 (/ 1 x)))) 0.818 * [approximate]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in (x) around 0 0.818 * [taylor]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in x 0.818 * [taylor]: Taking taylor expansion of -1.0 in x 0.818 * [backup-simplify]: Simplify -1.0 into -1.0 0.818 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.818 * [taylor]: Taking taylor expansion of 1.0 in x 0.818 * [backup-simplify]: Simplify 1.0 into 1.0 0.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify (/ 1 1) into 1 0.819 * [backup-simplify]: Simplify (+ 0 1) into 1 0.819 * [backup-simplify]: Simplify (/ 1 1) into 1 0.819 * [taylor]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in x 0.819 * [taylor]: Taking taylor expansion of -1.0 in x 0.819 * [backup-simplify]: Simplify -1.0 into -1.0 0.819 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 1 into 1 0.819 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.819 * [taylor]: Taking taylor expansion of 1.0 in x 0.819 * [backup-simplify]: Simplify 1.0 into 1.0 0.819 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 1 into 1 0.819 * [backup-simplify]: Simplify (/ 1 1) into 1 0.819 * [backup-simplify]: Simplify (+ 0 1) into 1 0.820 * [backup-simplify]: Simplify (/ 1 1) into 1 0.820 * [backup-simplify]: Simplify (* -1.0 1) into -1.0 0.820 * [backup-simplify]: Simplify -1.0 into -1.0 0.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 1.0 1)))) into (- 1.0) 0.823 * [backup-simplify]: Simplify (+ (* -1.0 (- 1.0)) (* 0 1)) into 1.0 0.823 * [backup-simplify]: Simplify 1.0 into 1.0 0.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.824 * [backup-simplify]: Simplify (+ 0 0) into 0 0.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 1.0 1)))) into 1.0 0.827 * [backup-simplify]: Simplify (+ (* -1.0 1.0) (+ (* 0 (- 1.0)) (* 0 1))) into (- 1.0) 0.828 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.828 * [backup-simplify]: Simplify (+ (* (- 1.0) (pow (/ 1 x) 4)) (+ (* 1.0 (pow (/ 1 x) 3)) (* -1.0 (pow (/ 1 x) 2)))) into (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) 0.829 * [backup-simplify]: Simplify (/ (/ 1.0 (/ (+ (/ 1 (- x)) 1.0) (- 0 1.0))) (/ 1 (- x))) into (* 1.0 (/ x (- 1.0 (/ 1 x)))) 0.829 * [approximate]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in (x) around 0 0.829 * [taylor]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in x 0.829 * [taylor]: Taking taylor expansion of 1.0 in x 0.829 * [backup-simplify]: Simplify 1.0 into 1.0 0.829 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (/ 1 x))) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 1 into 1 0.829 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.829 * [taylor]: Taking taylor expansion of 1.0 in x 0.829 * [backup-simplify]: Simplify 1.0 into 1.0 0.829 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 1 into 1 0.829 * [backup-simplify]: Simplify (/ 1 1) into 1 0.829 * [backup-simplify]: Simplify (- 1) into -1 0.829 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.830 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.830 * [taylor]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in x 0.830 * [taylor]: Taking taylor expansion of 1.0 in x 0.830 * [backup-simplify]: Simplify 1.0 into 1.0 0.830 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (/ 1 x))) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 1 into 1 0.830 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.830 * [taylor]: Taking taylor expansion of 1.0 in x 0.830 * [backup-simplify]: Simplify 1.0 into 1.0 0.830 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.830 * [taylor]: Taking taylor expansion of x in x 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 1 into 1 0.830 * [backup-simplify]: Simplify (/ 1 1) into 1 0.830 * [backup-simplify]: Simplify (- 1) into -1 0.831 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.831 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.831 * [backup-simplify]: Simplify (* 1.0 -1) into -1.0 0.831 * [backup-simplify]: Simplify -1.0 into -1.0 0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (- 0) into 0 0.832 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.834 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 1.0) 0.835 * [backup-simplify]: Simplify (+ (* 1.0 (- 1.0)) (* 0 -1)) into (- 1.0) 0.835 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.836 * [backup-simplify]: Simplify (- 0) into 0 0.836 * [backup-simplify]: Simplify (+ 0 0) into 0 0.838 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)))) into (- 1.0) 0.840 * [backup-simplify]: Simplify (+ (* 1.0 (- 1.0)) (+ (* 0 (- 1.0)) (* 0 -1))) into (- 1.0) 0.840 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.841 * [backup-simplify]: Simplify (+ (* (- 1.0) (pow (/ 1 (- x)) 4)) (+ (* (- 1.0) (pow (/ 1 (- x)) 3)) (* -1.0 (pow (/ 1 (- x)) 2)))) into (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) 0.841 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.841 * [backup-simplify]: Simplify (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) into (/ -1.0 (+ x 1.0)) 0.841 * [approximate]: Taking taylor expansion of (/ -1.0 (+ x 1.0)) in (x) around 0 0.841 * [taylor]: Taking taylor expansion of (/ -1.0 (+ x 1.0)) in x 0.841 * [taylor]: Taking taylor expansion of -1.0 in x 0.841 * [backup-simplify]: Simplify -1.0 into -1.0 0.841 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 1 into 1 0.841 * [taylor]: Taking taylor expansion of 1.0 in x 0.841 * [backup-simplify]: Simplify 1.0 into 1.0 0.842 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.842 * [backup-simplify]: Simplify (/ -1.0 1.0) into -1.0 0.842 * [taylor]: Taking taylor expansion of (/ -1.0 (+ x 1.0)) in x 0.842 * [taylor]: Taking taylor expansion of -1.0 in x 0.842 * [backup-simplify]: Simplify -1.0 into -1.0 0.842 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.842 * [taylor]: Taking taylor expansion of x in x 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [taylor]: Taking taylor expansion of 1.0 in x 0.842 * [backup-simplify]: Simplify 1.0 into 1.0 0.842 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.843 * [backup-simplify]: Simplify (/ -1.0 1.0) into -1.0 0.843 * [backup-simplify]: Simplify -1.0 into -1.0 0.843 * [backup-simplify]: Simplify (+ 1 0) into 1 0.844 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* -1.0 (/ 1 1.0)))) into 1.0 0.844 * [backup-simplify]: Simplify 1.0 into 1.0 0.845 * [backup-simplify]: Simplify (+ 0 0) into 0 0.847 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* -1.0 (/ 0 1.0)) (* 1.0 (/ 1 1.0)))) into (- 1.0) 0.847 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.847 * [backup-simplify]: Simplify (+ (* (- 1.0) (pow x 2)) (+ (* 1.0 x) -1.0)) into (- (* 1.0 x) (+ (* 1.0 (pow x 2)) 1.0)) 0.848 * [backup-simplify]: Simplify (/ 1.0 (/ (+ (/ 1 x) 1.0) (- 0 1.0))) into (/ -1.0 (+ 1.0 (/ 1 x))) 0.848 * [approximate]: Taking taylor expansion of (/ -1.0 (+ 1.0 (/ 1 x))) in (x) around 0 0.848 * [taylor]: Taking taylor expansion of (/ -1.0 (+ 1.0 (/ 1 x))) in x 0.848 * [taylor]: Taking taylor expansion of -1.0 in x 0.848 * [backup-simplify]: Simplify -1.0 into -1.0 0.848 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.848 * [taylor]: Taking taylor expansion of 1.0 in x 0.848 * [backup-simplify]: Simplify 1.0 into 1.0 0.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [backup-simplify]: Simplify (/ 1 1) into 1 0.848 * [backup-simplify]: Simplify (+ 0 1) into 1 0.848 * [backup-simplify]: Simplify (/ -1.0 1) into -1.0 0.849 * [taylor]: Taking taylor expansion of (/ -1.0 (+ 1.0 (/ 1 x))) in x 0.849 * [taylor]: Taking taylor expansion of -1.0 in x 0.849 * [backup-simplify]: Simplify -1.0 into -1.0 0.849 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.849 * [taylor]: Taking taylor expansion of 1.0 in x 0.849 * [backup-simplify]: Simplify 1.0 into 1.0 0.849 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify (/ 1 1) into 1 0.849 * [backup-simplify]: Simplify (+ 0 1) into 1 0.849 * [backup-simplify]: Simplify (/ -1.0 1) into -1.0 0.849 * [backup-simplify]: Simplify -1.0 into -1.0 0.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.850 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 1.0 1)))) into 1.0 0.852 * [backup-simplify]: Simplify 1.0 into 1.0 0.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.852 * [backup-simplify]: Simplify (+ 0 0) into 0 0.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 1.0 (/ 1.0 1)))) into (- 1.0) 0.855 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.855 * [backup-simplify]: Simplify (+ (* (- 1.0) (pow (/ 1 x) 3)) (+ (* 1.0 (pow (/ 1 x) 2)) (* -1.0 (/ 1 x)))) into (- (* 1.0 (/ 1 (pow x 2))) (+ (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))) 0.856 * [backup-simplify]: Simplify (/ 1.0 (/ (+ (/ 1 (- x)) 1.0) (- 0 1.0))) into (/ -1.0 (- 1.0 (/ 1 x))) 0.856 * [approximate]: Taking taylor expansion of (/ -1.0 (- 1.0 (/ 1 x))) in (x) around 0 0.856 * [taylor]: Taking taylor expansion of (/ -1.0 (- 1.0 (/ 1 x))) in x 0.856 * [taylor]: Taking taylor expansion of -1.0 in x 0.856 * [backup-simplify]: Simplify -1.0 into -1.0 0.856 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.856 * [taylor]: Taking taylor expansion of 1.0 in x 0.856 * [backup-simplify]: Simplify 1.0 into 1.0 0.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 1 into 1 0.856 * [backup-simplify]: Simplify (/ 1 1) into 1 0.856 * [backup-simplify]: Simplify (- 1) into -1 0.856 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.857 * [backup-simplify]: Simplify (/ -1.0 -1) into 1.0 0.857 * [taylor]: Taking taylor expansion of (/ -1.0 (- 1.0 (/ 1 x))) in x 0.857 * [taylor]: Taking taylor expansion of -1.0 in x 0.857 * [backup-simplify]: Simplify -1.0 into -1.0 0.857 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.857 * [taylor]: Taking taylor expansion of 1.0 in x 0.857 * [backup-simplify]: Simplify 1.0 into 1.0 0.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 1 into 1 0.857 * [backup-simplify]: Simplify (/ 1 1) into 1 0.857 * [backup-simplify]: Simplify (- 1) into -1 0.858 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.858 * [backup-simplify]: Simplify (/ -1.0 -1) into 1.0 0.858 * [backup-simplify]: Simplify 1.0 into 1.0 0.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.858 * [backup-simplify]: Simplify (- 0) into 0 0.859 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.860 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1.0 (/ 1.0 -1)))) into 1.0 0.860 * [backup-simplify]: Simplify 1.0 into 1.0 0.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify (- 0) into 0 0.861 * [backup-simplify]: Simplify (+ 0 0) into 0 0.863 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* 1.0 (/ 0 -1)) (* 1.0 (/ 1.0 -1)))) into 1.0 0.863 * [backup-simplify]: Simplify 1.0 into 1.0 0.863 * [backup-simplify]: Simplify (+ (* 1.0 (pow (/ 1 (- x)) 3)) (+ (* 1.0 (pow (/ 1 (- x)) 2)) (* 1.0 (/ 1 (- x))))) into (- (* 1.0 (/ 1 (pow x 2))) (+ (* 1.0 (/ 1 x)) (* 1.0 (/ 1 (pow x 3))))) 0.863 * * * [progress]: simplifying candidates 0.879 * [simplify]: Simplifying: (- (- (log 1.0) (- (log (+ x 1.0)) (log (- 0 1.0)))) (log x)) (- (- (log 1.0) (log (/ (+ x 1.0) (- 0 1.0)))) (log x)) (- (log (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (log x)) (log (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)) (exp (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)) (/ (/ (* (* 1.0 1.0) 1.0) (/ (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* (- 0 1.0) (- 0 1.0)) (- 0 1.0)))) (* (* x x) x)) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (/ (+ x 1.0) (- 0 1.0)) (/ (+ x 1.0) (- 0 1.0))) (/ (+ x 1.0) (- 0 1.0)))) (* (* x x) x)) (/ (* (* (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (* (* x x) x)) (* (cbrt (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)) (cbrt (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x))) (cbrt (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)) (* (* (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x) (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)) (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)) (sqrt (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)) (sqrt (/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)) (- (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (- x) (/ (* (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))) (* (cbrt x) (cbrt x))) (/ (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (cbrt x)) (/ (* (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))) (sqrt x)) (/ (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (sqrt x)) (/ (* (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0))))) 1) (/ (cbrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) x) (/ (sqrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (* (cbrt x) (cbrt x))) (/ (sqrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (cbrt x)) (/ (sqrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (sqrt x)) (/ (sqrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) (sqrt x)) (/ (sqrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) 1) (/ (sqrt (/ 1.0 (/ (+ x 1.0) (- 0 1.0)))) x) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (/ (+ x 1.0) (- 0 1.0))) (cbrt (/ (+ x 1.0) (- 0 1.0))))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt 1.0) (cbrt (/ (+ x 1.0) (- 0 1.0)))) (cbrt x)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (/ (+ x 1.0) (- 0 1.0))) (cbrt (/ (+ x 1.0) (- 0 1.0))))) (sqrt x)) (/ (/ (cbrt 1.0) (cbrt (/ (+ x 1.0) (- 0 1.0)))) (sqrt x)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (/ (+ x 1.0) (- 0 1.0))) (cbrt (/ (+ x 1.0) (- 0 1.0))))) 1) (/ (/ (cbrt 1.0) (cbrt (/ (+ x 1.0) (- 0 1.0)))) x) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (/ (+ x 1.0) (- 0 1.0)))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt 1.0) (sqrt (/ (+ x 1.0) (- 0 1.0)))) (cbrt x)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (/ (+ x 1.0) (- 0 1.0)))) (sqrt x)) (/ (/ (cbrt 1.0) (sqrt (/ (+ x 1.0) (- 0 1.0)))) (sqrt x)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (/ (+ x 1.0) (- 0 1.0)))) 1) (/ (/ (cbrt 1.0) (sqrt (/ (+ x 1.0) (- 0 1.0)))) x) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt 1.0) (/ (cbrt (+ x 1.0)) (cbrt (- 0 1.0)))) (cbrt x)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))))) (sqrt x)) (/ (/ (cbrt 1.0) (/ (cbrt (+ x 1.0)) (cbrt (- 0 1.0)))) (sqrt x)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))))) 1) (/ (/ (cbrt 1.0) (/ (cbrt (+ x 1.0)) (cbrt (- 0 1.0)))) x) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (- 0 1.0)))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt 1.0) (/ (cbrt (+ x 1.0)) (sqrt (- 0 1.0)))) (cbrt x)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (- 0 1.0)))) (sqrt x)) (/ (/ (cbrt 1.0) (/ (cbrt (+ x 1.0)) (sqrt (- 0 1.0)))) (sqrt x)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (sqrt (- 0 1.0)))) 1) (/ (/ (cbrt 1.0) (/ (cbrt (+ x 1.0)) (sqrt (- 0 1.0)))) x) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1)) (* (cbrt x) (cbrt x))) (/ (/ (cbrt 1.0) (/ (cbrt (+ x 1.0)) (- 0 1.0))) (cbrt x)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1)) (sqrt x)) (/ (/ (cbrt 1.0) (/ (cbrt (+ x 1.0)) (- 0 1.0))) (sqrt x)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1)) 1) (/ (/ (cbrt 1.0) (/ (cbrt (+ x 1.0)) (- 0 1.0))) x) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (sqrt 0) (sqrt 1.0)))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt 1.0) (/ (cbrt (+ x 1.0)) (- (sqrt 0) (sqrt 1.0)))) (cbrt x)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (sqrt 0) (sqrt 1.0)))) (sqrt x)) (/ (/ (cbrt 1.0) (/ (cbrt (+ x 1.0)) (- (sqrt 0) (sqrt 1.0)))) (sqrt x)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (sqrt 0) (sqrt 1.0)))) 1) (/ (/ (cbrt 1.0) (/ (cbrt (+ x 1.0)) (- (sqrt 0) (sqrt 1.0)))) x) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1)) (* (cbrt x) (cbrt x))) (/ (/ (cbrt 1.0) (/ (cbrt (+ x 1.0)) (- 0 1.0))) (cbrt x)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1)) (sqrt x)) (/ (/ (cbrt 1.0) (/ (cbrt (+ x 1.0)) (- 0 1.0))) (sqrt x)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) 1)) 1) (/ (/ (cbrt 1.0) (/ (cbrt (+ x 1.0)) (- 0 1.0))) x) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt (+ x 1.0)) (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))))) (* (cbrt x) (cbrt x))) (/ (/ (cbrt 1.0) (/ (sqrt (+ x 1.0)) (cbrt (- 0 1.0)))) (cbrt x)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt (+ x 1.0)) (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))))) (sqrt x)) (/ (/ (cbrt 1.0) (/ (sqrt (+ x 1.0)) (cbrt (- 0 1.0)))) (sqrt x)) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt (+ x 1.0)) (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))))) 1) (/ (/ (cbrt 1.0) (/ (sqrt (+ x 1.0)) (cbrt (- 0 1.0)))) x) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (/ (sqrt (+ x 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(/ h1 (/ (+ h0 h1) (- 0 h1))) (/ 1 (+ h0 h1)) (/ h1 (/ 1 (- 0 h1))) (/ 1 (/ (+ h0 h1) (- (pow 0 3) (pow h1 3)))) (/ h1 (+ (* 0 0) (+ (* h1 h1) (* 0 h1)))) (/ 1 (/ (+ h0 h1) (- (* 0 0) (* h1 h1)))) (/ h1 (+ 0 h1)) (/ 1 (/ (+ h0 h1) (- 0 h1))) (/ (/ (+ h0 h1) (- 0 h1)) h1) (/ h1 (* (cbrt (/ (+ h0 h1) (- 0 h1))) (cbrt (/ (+ h0 h1) (- 0 h1))))) (/ h1 (sqrt (/ (+ h0 h1) (- 0 h1)))) (/ h1 (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (- 0 h1)) (cbrt (- 0 h1))))) (/ h1 (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (sqrt (- 0 h1)))) (/ h1 (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (/ h1 (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (+ (sqrt 0) (sqrt h1)))) (/ h1 (/ (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) 1)) (/ h1 (/ (sqrt (+ h0 h1)) (* (cbrt (- 0 h1)) (cbrt (- 0 h1))))) (/ h1 (/ (sqrt (+ h0 h1)) (sqrt (- 0 h1)))) (/ h1 (/ (sqrt (+ h0 h1)) 1)) (/ h1 (/ (sqrt (+ h0 h1)) (+ (sqrt 0) (sqrt h1)))) (/ h1 (/ (sqrt (+ h0 h1)) 1)) (/ h1 (/ 1 (* (cbrt (- 0 h1)) (cbrt (- 0 h1))))) (/ h1 (/ 1 (sqrt (- 0 h1)))) (/ h1 (/ 1 1)) (/ h1 (/ 1 (+ (sqrt 0) (sqrt h1)))) (/ h1 (/ 1 1)) (/ h1 (/ 1 (* (cbrt (- 0 h1)) (cbrt (- 0 h1))))) (/ h1 (/ 1 (sqrt (- 0 h1)))) (/ h1 (/ 1 1)) (/ h1 (/ 1 (+ (sqrt 0) (sqrt h1)))) (/ h1 (/ 1 1)) (/ h1 1) (/ h1 (+ h0 h1)) (/ h1 (/ (+ h0 h1) (- (pow 0 3) (pow h1 3)))) (/ h1 (/ (+ h0 h1) (- (* 0 0) (* h1 h1)))) (/ (/ (+ h0 h1) (- 0 h1)) (cbrt h1)) (/ (/ (+ h0 h1) (- 0 h1)) (sqrt h1)) (/ (/ (+ h0 h1) (- 0 h1)) h1) (/ h1 (+ h0 h1)) (- h1 (+ (* h1 h0) (* h1 (/ 1 h0)))) (- (* h1 (/ 1 (pow h0 3))) (+ (* h1 (/ 1 (pow h0 2))) (* h1 (/ 1 (pow h0 4))))) (- (* h1 (/ 1 (pow h0 3))) (+ (* h1 (/ 1 (pow h0 2))) (* h1 (/ 1 (pow h0 4))))) (- (* h1 h0) (+ (* h1 (pow h0 2)) h1)) (- (* h1 (/ 1 (pow h0 2))) (+ (* h1 (/ 1 h0)) (* h1 (/ 1 (pow h0 3))))) (- (* h1 (/ 1 (pow h0 2))) (+ (* h1 (/ 1 h0)) (* h1 (/ 1 (pow h0 3))))) 0.901 * * [simplify]: iteration 0 : 1582 enodes (cost 5673 ) 0.926 * * [simplify]: iteration 1 : 5001 enodes (cost 5480 ) 0.949 * * * [progress]: adding candidates to table 1.818 * * [progress]: iteration 4 / 4 1.818 * * * [progress]: picking best candidate 1.827 * * * * [pick]: Picked # 1.827 * * * [progress]: localizing error 1.835 * * * [progress]: generating rewritten candidates 1.835 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.884 * * * [progress]: generating series expansions 1.884 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.885 * [backup-simplify]: Simplify (/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0))) into (/ -1.0 (* x (+ x 1.0))) 1.885 * [approximate]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in (x) around 0 1.885 * [taylor]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in x 1.885 * [taylor]: Taking taylor expansion of -1.0 in x 1.885 * [backup-simplify]: Simplify -1.0 into -1.0 1.885 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 1.885 * [taylor]: Taking taylor expansion of x in x 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 1 into 1 1.885 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.885 * [taylor]: Taking taylor expansion of x in x 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 1 into 1 1.885 * [taylor]: Taking taylor expansion of 1.0 in x 1.885 * [backup-simplify]: Simplify 1.0 into 1.0 1.885 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.886 * [backup-simplify]: Simplify (* 0 1.0) into 0 1.886 * [backup-simplify]: Simplify (+ 1 0) into 1 1.887 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 1.887 * [backup-simplify]: Simplify (/ -1.0 1.0) into -1.0 1.887 * [taylor]: Taking taylor expansion of (/ -1.0 (* x (+ x 1.0))) in x 1.887 * [taylor]: Taking taylor expansion of -1.0 in x 1.887 * [backup-simplify]: Simplify -1.0 into -1.0 1.887 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 1.887 * [taylor]: Taking taylor expansion of x in x 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.887 * [taylor]: Taking taylor expansion of x in x 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [taylor]: Taking taylor expansion of 1.0 in x 1.887 * [backup-simplify]: Simplify 1.0 into 1.0 1.887 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.888 * [backup-simplify]: Simplify (* 0 1.0) into 0 1.888 * [backup-simplify]: Simplify (+ 1 0) into 1 1.889 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1.0)) into 1.0 1.889 * [backup-simplify]: Simplify (/ -1.0 1.0) into -1.0 1.889 * [backup-simplify]: Simplify -1.0 into -1.0 1.889 * [backup-simplify]: Simplify (+ 0 0) into 0 1.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1.0))) into 1 1.891 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* -1.0 (/ 1 1.0)))) into 1.0 1.892 * [backup-simplify]: Simplify 1.0 into 1.0 1.892 * [backup-simplify]: Simplify (+ 0 0) into 0 1.892 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1.0)))) into 0 1.894 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* -1.0 (/ 0 1.0)) (* 1.0 (/ 1 1.0)))) into (- 1.0) 1.895 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.895 * [backup-simplify]: Simplify (+ (* (- 1.0) x) (+ 1.0 (* -1.0 (/ 1 x)))) into (- 1.0 (+ (* 1.0 x) (* 1.0 (/ 1 x)))) 1.895 * [backup-simplify]: Simplify (/ 1 (/ (/ (* (+ (/ 1 x) 1.0) (/ 1 x)) 1.0) (- 0 1.0))) into (* -1.0 (/ x (+ 1.0 (/ 1 x)))) 1.895 * [approximate]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in (x) around 0 1.895 * [taylor]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in x 1.895 * [taylor]: Taking taylor expansion of -1.0 in x 1.895 * [backup-simplify]: Simplify -1.0 into -1.0 1.895 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.895 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 1 into 1 1.896 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.896 * [taylor]: Taking taylor expansion of 1.0 in x 1.896 * [backup-simplify]: Simplify 1.0 into 1.0 1.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.896 * [taylor]: Taking taylor expansion of x in x 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 1 into 1 1.896 * [backup-simplify]: Simplify (/ 1 1) into 1 1.896 * [backup-simplify]: Simplify (+ 0 1) into 1 1.896 * [backup-simplify]: Simplify (/ 1 1) into 1 1.896 * [taylor]: Taking taylor expansion of (* -1.0 (/ x (+ 1.0 (/ 1 x)))) in x 1.896 * [taylor]: Taking taylor expansion of -1.0 in x 1.896 * [backup-simplify]: Simplify -1.0 into -1.0 1.896 * [taylor]: Taking taylor expansion of (/ x (+ 1.0 (/ 1 x))) in x 1.896 * [taylor]: Taking taylor expansion of x in x 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 1 into 1 1.896 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.896 * [taylor]: Taking taylor expansion of 1.0 in x 1.896 * [backup-simplify]: Simplify 1.0 into 1.0 1.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.896 * [taylor]: Taking taylor expansion of x in x 1.896 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 1 into 1 1.897 * [backup-simplify]: Simplify (/ 1 1) into 1 1.897 * [backup-simplify]: Simplify (+ 0 1) into 1 1.897 * [backup-simplify]: Simplify (/ 1 1) into 1 1.897 * [backup-simplify]: Simplify (* -1.0 1) into -1.0 1.897 * [backup-simplify]: Simplify -1.0 into -1.0 1.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 1.0 1)))) into (- 1.0) 1.901 * [backup-simplify]: Simplify (+ (* -1.0 (- 1.0)) (* 0 1)) into 1.0 1.901 * [backup-simplify]: Simplify 1.0 into 1.0 1.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.901 * [backup-simplify]: Simplify (+ 0 0) into 0 1.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- 1.0) (/ 1.0 1)))) into 1.0 1.905 * [backup-simplify]: Simplify (+ (* -1.0 1.0) (+ (* 0 (- 1.0)) (* 0 1))) into (- 1.0) 1.905 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.906 * [backup-simplify]: Simplify (+ (* (- 1.0) (pow (/ 1 x) 4)) (+ (* 1.0 (pow (/ 1 x) 3)) (* -1.0 (pow (/ 1 x) 2)))) into (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) 1.906 * [backup-simplify]: Simplify (/ 1 (/ (/ (* (+ (/ 1 (- x)) 1.0) (/ 1 (- x))) 1.0) (- 0 1.0))) into (* 1.0 (/ x (- 1.0 (/ 1 x)))) 1.906 * [approximate]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in (x) around 0 1.906 * [taylor]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in x 1.906 * [taylor]: Taking taylor expansion of 1.0 in x 1.906 * [backup-simplify]: Simplify 1.0 into 1.0 1.906 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (/ 1 x))) in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.906 * [taylor]: Taking taylor expansion of 1.0 in x 1.906 * [backup-simplify]: Simplify 1.0 into 1.0 1.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.906 * [taylor]: Taking taylor expansion of x in x 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.907 * [backup-simplify]: Simplify (/ 1 1) into 1 1.907 * [backup-simplify]: Simplify (- 1) into -1 1.907 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.907 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.907 * [taylor]: Taking taylor expansion of (* 1.0 (/ x (- 1.0 (/ 1 x)))) in x 1.907 * [taylor]: Taking taylor expansion of 1.0 in x 1.907 * [backup-simplify]: Simplify 1.0 into 1.0 1.907 * [taylor]: Taking taylor expansion of (/ x (- 1.0 (/ 1 x))) in x 1.907 * [taylor]: Taking taylor expansion of x in x 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.907 * [taylor]: Taking taylor expansion of 1.0 in x 1.907 * [backup-simplify]: Simplify 1.0 into 1.0 1.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.907 * [taylor]: Taking taylor expansion of x in x 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [backup-simplify]: Simplify (/ 1 1) into 1 1.908 * [backup-simplify]: Simplify (- 1) into -1 1.908 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.908 * [backup-simplify]: Simplify (/ 1 -1) into -1 1.909 * [backup-simplify]: Simplify (* 1.0 -1) into -1.0 1.909 * [backup-simplify]: Simplify -1.0 into -1.0 1.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.909 * [backup-simplify]: Simplify (- 0) into 0 1.910 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.911 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 1.0 -1)))) into (- 1.0) 1.912 * [backup-simplify]: Simplify (+ (* 1.0 (- 1.0)) (* 0 -1)) into (- 1.0) 1.912 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.913 * [backup-simplify]: Simplify (- 0) into 0 1.913 * [backup-simplify]: Simplify (+ 0 0) into 0 1.916 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- 1.0) (/ 1.0 -1)))) into (- 1.0) 1.917 * [backup-simplify]: Simplify (+ (* 1.0 (- 1.0)) (+ (* 0 (- 1.0)) (* 0 -1))) into (- 1.0) 1.917 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 1.923 * [backup-simplify]: Simplify (+ (* (- 1.0) (pow (/ 1 (- x)) 4)) (+ (* (- 1.0) (pow (/ 1 (- x)) 3)) (* -1.0 (pow (/ 1 (- x)) 2)))) into (- (* 1.0 (/ 1 (pow x 3))) (+ (* 1.0 (/ 1 (pow x 2))) (* 1.0 (/ 1 (pow x 4))))) 1.923 * * * [progress]: simplifying candidates 1.927 * [simplify]: Simplifying: (- 1) (- (- (- (+ (log (+ x 1.0)) (log x)) (log 1.0)) (log (- 0 1.0)))) (- (- (- (log (* (+ x 1.0) x)) (log 1.0)) (log (- 0 1.0)))) (- (- (log (/ (* (+ x 1.0) x) 1.0)) (log (- 0 1.0)))) (- (log (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))) (- 0 (- (- (+ (log (+ x 1.0)) (log x)) (log 1.0)) (log (- 0 1.0)))) (- 0 (- (- (log (* (+ x 1.0) x)) (log 1.0)) (log (- 0 1.0)))) (- 0 (- (log (/ (* (+ x 1.0) x) 1.0)) (log (- 0 1.0)))) (- 0 (log (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))) (- (log 1) (- (- (+ (log (+ x 1.0)) (log x)) (log 1.0)) (log (- 0 1.0)))) (- (log 1) (- (- (log (* (+ x 1.0) x)) (log 1.0)) (log (- 0 1.0)))) (- (log 1) (- (log (/ (* (+ x 1.0) x) 1.0)) (log (- 0 1.0)))) (- (log 1) (log (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))) (log (/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))) (exp (/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))) (/ (* (* 1 1) 1) (/ (/ (* (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* x x) x)) (* (* 1.0 1.0) 1.0)) (* (* (- 0 1.0) (- 0 1.0)) (- 0 1.0)))) (/ (* (* 1 1) 1) (/ (/ (* (* (* (+ x 1.0) x) (* (+ x 1.0) x)) (* (+ x 1.0) x)) (* (* 1.0 1.0) 1.0)) (* (* (- 0 1.0) (- 0 1.0)) (- 0 1.0)))) (/ (* (* 1 1) 1) (/ (* (* (/ (* (+ x 1.0) x) 1.0) (/ (* (+ x 1.0) x) 1.0)) (/ (* (+ x 1.0) x) 1.0)) (* (* (- 0 1.0) (- 0 1.0)) (- 0 1.0)))) (/ (* (* 1 1) 1) (* (* (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)) (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0))) (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))) (* (cbrt (/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))) (cbrt (/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0))))) (cbrt (/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))) (* (* (/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0))) (/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))) (/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))) (sqrt (/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))) (sqrt (/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))) (- 1) (- (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0))) (cbrt (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0))))) (/ (cbrt 1) (cbrt (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))) (/ (cbrt 1) (sqrt (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (/ (* (+ x 1.0) x) 1.0)) (cbrt (/ (* (+ x 1.0) x) 1.0))) (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))))) (/ (cbrt 1) (/ (cbrt (/ (* (+ x 1.0) x) 1.0)) (cbrt (- 0 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (/ (* (+ x 1.0) x) 1.0)) (cbrt (/ (* (+ x 1.0) x) 1.0))) (sqrt (- 0 1.0)))) (/ (cbrt 1) (/ (cbrt (/ (* (+ x 1.0) x) 1.0)) (sqrt (- 0 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (/ (* (+ x 1.0) x) 1.0)) (cbrt (/ (* (+ x 1.0) x) 1.0))) 1)) (/ (cbrt 1) (/ (cbrt (/ (* (+ x 1.0) x) 1.0)) (- 0 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (/ (* (+ x 1.0) x) 1.0)) (cbrt (/ (* (+ x 1.0) x) 1.0))) (+ (sqrt 0) (sqrt 1.0)))) (/ (cbrt 1) (/ (cbrt (/ (* (+ x 1.0) x) 1.0)) (- (sqrt 0) (sqrt 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (/ (* (+ x 1.0) x) 1.0)) (cbrt (/ (* (+ x 1.0) x) 1.0))) 1)) (/ (cbrt 1) (/ (cbrt (/ (* (+ x 1.0) x) 1.0)) (- 0 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (/ (* (+ x 1.0) x) 1.0)) (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))))) (/ (cbrt 1) (/ (sqrt (/ (* (+ x 1.0) x) 1.0)) (cbrt (- 0 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (/ (* (+ x 1.0) x) 1.0)) (sqrt (- 0 1.0)))) (/ (cbrt 1) (/ (sqrt (/ (* (+ x 1.0) x) 1.0)) (sqrt (- 0 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (/ (* (+ x 1.0) x) 1.0)) 1)) (/ (cbrt 1) (/ (sqrt (/ (* (+ x 1.0) x) 1.0)) (- 0 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (/ (* (+ x 1.0) x) 1.0)) (+ (sqrt 0) (sqrt 1.0)))) (/ (cbrt 1) (/ (sqrt (/ (* (+ x 1.0) x) 1.0)) (- (sqrt 0) (sqrt 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (/ (* (+ x 1.0) x) 1.0)) 1)) (/ (cbrt 1) (/ (sqrt (/ (* (+ x 1.0) x) 1.0)) (- 0 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (+ x 1.0) (* (cbrt 1.0) (cbrt 1.0))) (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))))) (/ (cbrt 1) (/ (/ x (cbrt 1.0)) (cbrt (- 0 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (+ x 1.0) (* (cbrt 1.0) (cbrt 1.0))) (sqrt (- 0 1.0)))) (/ (cbrt 1) (/ (/ x (cbrt 1.0)) (sqrt (- 0 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (+ x 1.0) (* (cbrt 1.0) (cbrt 1.0))) 1)) (/ (cbrt 1) (/ (/ x (cbrt 1.0)) (- 0 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (+ x 1.0) (* (cbrt 1.0) (cbrt 1.0))) (+ (sqrt 0) (sqrt 1.0)))) (/ (cbrt 1) (/ (/ x (cbrt 1.0)) (- (sqrt 0) (sqrt 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (+ x 1.0) (* (cbrt 1.0) (cbrt 1.0))) 1)) (/ (cbrt 1) (/ (/ x (cbrt 1.0)) (- 0 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (+ x 1.0) (sqrt 1.0)) (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))))) (/ (cbrt 1) (/ (/ x (sqrt 1.0)) (cbrt (- 0 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (+ x 1.0) (sqrt 1.0)) (sqrt (- 0 1.0)))) (/ (cbrt 1) (/ (/ x (sqrt 1.0)) (sqrt (- 0 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (+ x 1.0) (sqrt 1.0)) 1)) (/ (cbrt 1) (/ (/ x (sqrt 1.0)) (- 0 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (+ x 1.0) (sqrt 1.0)) (+ (sqrt 0) (sqrt 1.0)))) (/ (cbrt 1) (/ (/ x (sqrt 1.0)) (- (sqrt 0) (sqrt 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (+ x 1.0) (sqrt 1.0)) 1)) (/ (cbrt 1) (/ (/ x (sqrt 1.0)) (- 0 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (+ x 1.0) 1) (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))))) (/ (cbrt 1) (/ (/ x 1.0) (cbrt (- 0 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (+ x 1.0) 1) (sqrt (- 0 1.0)))) (/ (cbrt 1) (/ (/ x 1.0) (sqrt (- 0 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (+ x 1.0) 1) 1)) (/ (cbrt 1) (/ (/ x 1.0) (- 0 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (+ x 1.0) 1) (+ (sqrt 0) (sqrt 1.0)))) (/ (cbrt 1) (/ (/ x 1.0) (- (sqrt 0) (sqrt 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (+ x 1.0) 1) 1)) (/ (cbrt 1) (/ (/ x 1.0) (- 0 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))))) (/ (cbrt 1) (/ (/ (* (+ x 1.0) x) 1.0) (cbrt (- 0 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt (- 0 1.0)))) (/ (cbrt 1) (/ (/ (* (+ x 1.0) x) 1.0) (sqrt (- 0 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (+ (sqrt 0) (sqrt 1.0)))) (/ (cbrt 1) (/ (/ (* (+ x 1.0) x) 1.0) (- (sqrt 0) (sqrt 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (+ x 1.0) x) (* (cbrt (- 0 1.0)) (cbrt (- 0 1.0))))) (/ (cbrt 1) (/ (/ 1 1.0) (cbrt (- 0 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (+ x 1.0) x) (sqrt (- 0 1.0)))) (/ (cbrt 1) (/ (/ 1 1.0) (sqrt (- 0 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (+ x 1.0) x) 1)) (/ (cbrt 1) (/ (/ 1 1.0) (- 0 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (+ x 1.0) x) (+ (sqrt 0) (sqrt 1.0)))) (/ (cbrt 1) (/ (/ 1 1.0) (- (sqrt 0) (sqrt 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (+ x 1.0) x) 1)) (/ (cbrt 1) (/ (/ 1 1.0) (- 0 1.0))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (+ x 1.0) x) 1.0)) (/ (cbrt 1) (/ 1 (- 0 1.0))) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (* (+ x 1.0) x) 1.0) (- (pow 0 3) (pow 1.0 3)))) (/ (cbrt 1) (+ (* 0 0) (+ (* 1.0 1.0) (* 0 1.0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (/ (* (+ x 1.0) x) 1.0) (- (* 0 0) (* 1.0 1.0)))) (/ (cbrt 1) (+ 0 1.0)) (/ (sqrt 1) (* (cbrt (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0))) (cbrt (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0))))) (/ (sqrt 1) (cbrt (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))) (/ (sqrt 1) (sqrt (/ (/ (* (+ x 1.0) x) 1.0) (- 0 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(* h0 (/ 1 (pow h1 3))) (+ (* h0 (/ 1 (pow h1 2))) (* h0 (/ 1 (pow h1 4))))) (- (* h0 (/ 1 (pow h1 3))) (+ (* h0 (/ 1 (pow h1 2))) (* h0 (/ 1 (pow h1 4))))) 1.938 * * [simplify]: iteration 0 : 950 enodes (cost 2399 ) 1.959 * * [simplify]: iteration 1 : 5001 enodes (cost 2078 ) 1.968 * * * [progress]: adding candidates to table 2.256 * [progress]: [Phase 3 of 3] Extracting. 2.256 * * [regime]: Finding splitpoints for: (# # # # # #) 2.257 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.257 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.279 * * * [regime]: Found split indices: #