9.975 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (* (+ a (+ b (+ c d))) 2.0) 0.027 * [simplify]: Sending expressions to egg_math: (* (+ h0 (+ h1 (+ h2 h3))) h4) 0.029 * * [simplify]: iteration 0 : 17 enodes (cost 4 ) 0.030 * * [simplify]: iteration 1 : 53 enodes (cost 4 ) 0.032 * * [simplify]: iteration 2 : 151 enodes (cost 4 ) 0.034 * * [simplify]: iteration 3 : 313 enodes (cost 4 ) 0.038 * * [simplify]: iteration 4 : 419 enodes (cost 4 ) 0.041 * * [simplify]: iteration 5 : 425 enodes (cost 4 ) 0.044 * * [simplify]: iteration 6 : 425 enodes (cost 4 ) 0.044 * [simplify]: Simplified to: (* (+ a (+ b (+ c d))) 2.0) 0.044 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.046 * * * [progress]: localizing error 0.052 * * * [progress]: generating rewritten candidates 0.052 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.098 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 2) 0.115 * * * [progress]: generating series expansions 0.115 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.115 * [approximate]: Taking taylor expansion of (+ d (+ a (+ b c))) in (a b c d) around 0 0.115 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.115 * [taylor]: Taking taylor expansion of d in d 0.115 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in d 0.115 * [taylor]: Taking taylor expansion of a in d 0.115 * [taylor]: Taking taylor expansion of (+ b c) in d 0.115 * [taylor]: Taking taylor expansion of b in d 0.115 * [taylor]: Taking taylor expansion of c in d 0.115 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.115 * [taylor]: Taking taylor expansion of d in c 0.115 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in c 0.115 * [taylor]: Taking taylor expansion of a in c 0.115 * [taylor]: Taking taylor expansion of (+ b c) in c 0.115 * [taylor]: Taking taylor expansion of b in c 0.115 * [taylor]: Taking taylor expansion of c in c 0.116 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 0.116 * [taylor]: Taking taylor expansion of d in b 0.116 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in b 0.116 * [taylor]: Taking taylor expansion of a in b 0.116 * [taylor]: Taking taylor expansion of (+ b c) in b 0.116 * [taylor]: Taking taylor expansion of b in b 0.116 * [taylor]: Taking taylor expansion of c in b 0.116 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in a 0.116 * [taylor]: Taking taylor expansion of d in a 0.116 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in a 0.116 * [taylor]: Taking taylor expansion of a in a 0.116 * [taylor]: Taking taylor expansion of (+ b c) in a 0.116 * [taylor]: Taking taylor expansion of b in a 0.116 * [taylor]: Taking taylor expansion of c in a 0.116 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in a 0.116 * [taylor]: Taking taylor expansion of d in a 0.116 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in a 0.116 * [taylor]: Taking taylor expansion of a in a 0.116 * [taylor]: Taking taylor expansion of (+ b c) in a 0.116 * [taylor]: Taking taylor expansion of b in a 0.116 * [taylor]: Taking taylor expansion of c in a 0.116 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in b 0.116 * [taylor]: Taking taylor expansion of d in b 0.116 * [taylor]: Taking taylor expansion of (+ b c) in b 0.116 * [taylor]: Taking taylor expansion of b in b 0.116 * [taylor]: Taking taylor expansion of c in b 0.116 * [taylor]: Taking taylor expansion of (+ d c) in c 0.116 * [taylor]: Taking taylor expansion of d in c 0.116 * [taylor]: Taking taylor expansion of c in c 0.116 * [taylor]: Taking taylor expansion of d in d 0.117 * [taylor]: Taking taylor expansion of 1 in b 0.117 * [taylor]: Taking taylor expansion of 1 in c 0.117 * [taylor]: Taking taylor expansion of 1 in d 0.118 * [taylor]: Taking taylor expansion of 1 in c 0.118 * [taylor]: Taking taylor expansion of 1 in d 0.118 * [taylor]: Taking taylor expansion of 1 in d 0.119 * [approximate]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in (a b c d) around 0 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in d 0.119 * [taylor]: Taking taylor expansion of (/ 1 b) in d 0.119 * [taylor]: Taking taylor expansion of b in d 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) in d 0.119 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.119 * [taylor]: Taking taylor expansion of d in d 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 a)) in d 0.119 * [taylor]: Taking taylor expansion of (/ 1 c) in d 0.119 * [taylor]: Taking taylor expansion of c in d 0.119 * [taylor]: Taking taylor expansion of (/ 1 a) in d 0.119 * [taylor]: Taking taylor expansion of a in d 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in c 0.119 * [taylor]: Taking taylor expansion of (/ 1 b) in c 0.119 * [taylor]: Taking taylor expansion of b in c 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) in c 0.119 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.119 * [taylor]: Taking taylor expansion of d in c 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 a)) in c 0.119 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.119 * [taylor]: Taking taylor expansion of c in c 0.120 * [taylor]: Taking taylor expansion of (/ 1 a) in c 0.120 * [taylor]: Taking taylor expansion of a in c 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in b 0.120 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.120 * [taylor]: Taking taylor expansion of b in b 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) in b 0.120 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.120 * [taylor]: Taking taylor expansion of d in b 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 a)) in b 0.120 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.120 * [taylor]: Taking taylor expansion of c in b 0.120 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.120 * [taylor]: Taking taylor expansion of a in b 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in a 0.120 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.120 * [taylor]: Taking taylor expansion of b in a 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) in a 0.120 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.120 * [taylor]: Taking taylor expansion of d in a 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 a)) in a 0.120 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.120 * [taylor]: Taking taylor expansion of c in a 0.120 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.120 * [taylor]: Taking taylor expansion of a in a 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in a 0.121 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.121 * [taylor]: Taking taylor expansion of b in a 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) in a 0.121 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.121 * [taylor]: Taking taylor expansion of d in a 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 a)) in a 0.121 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.121 * [taylor]: Taking taylor expansion of c in a 0.121 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.121 * [taylor]: Taking taylor expansion of a in a 0.122 * [taylor]: Taking taylor expansion of 1 in b 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in b 0.122 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.122 * [taylor]: Taking taylor expansion of c in b 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 b)) in b 0.122 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.122 * [taylor]: Taking taylor expansion of d in b 0.123 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.123 * [taylor]: Taking taylor expansion of b in b 0.123 * [taylor]: Taking taylor expansion of 1 in c 0.123 * [taylor]: Taking taylor expansion of 1 in c 0.124 * [taylor]: Taking taylor expansion of 0 in b 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 c)) in c 0.125 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.125 * [taylor]: Taking taylor expansion of d in c 0.125 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.125 * [taylor]: Taking taylor expansion of c in c 0.126 * [taylor]: Taking taylor expansion of 1 in d 0.126 * [taylor]: Taking taylor expansion of 0 in c 0.126 * [taylor]: Taking taylor expansion of 1 in d 0.126 * [taylor]: Taking taylor expansion of 1 in d 0.127 * [taylor]: Taking taylor expansion of 0 in b 0.127 * [taylor]: Taking taylor expansion of 0 in c 0.128 * [taylor]: Taking taylor expansion of 0 in c 0.128 * [taylor]: Taking taylor expansion of 0 in c 0.128 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.128 * [taylor]: Taking taylor expansion of d in d 0.129 * [taylor]: Taking taylor expansion of 0 in d 0.129 * [taylor]: Taking taylor expansion of 0 in d 0.129 * [taylor]: Taking taylor expansion of 0 in d 0.130 * [approximate]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in (a b c d) around 0 0.130 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in d 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in d 0.130 * [taylor]: Taking taylor expansion of (/ 1 b) in d 0.130 * [taylor]: Taking taylor expansion of b in d 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) in d 0.130 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.130 * [taylor]: Taking taylor expansion of d in d 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 a)) in d 0.130 * [taylor]: Taking taylor expansion of (/ 1 c) in d 0.130 * [taylor]: Taking taylor expansion of c in d 0.130 * [taylor]: Taking taylor expansion of (/ 1 a) in d 0.130 * [taylor]: Taking taylor expansion of a in d 0.130 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in c 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in c 0.130 * [taylor]: Taking taylor expansion of (/ 1 b) in c 0.130 * [taylor]: Taking taylor expansion of b in c 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) in c 0.130 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.130 * [taylor]: Taking taylor expansion of d in c 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 a)) in c 0.130 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.130 * [taylor]: Taking taylor expansion of c in c 0.131 * [taylor]: Taking taylor expansion of (/ 1 a) in c 0.131 * [taylor]: Taking taylor expansion of a in c 0.131 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in b 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in b 0.131 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.131 * [taylor]: Taking taylor expansion of b in b 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) in b 0.131 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.131 * [taylor]: Taking taylor expansion of d in b 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 a)) in b 0.131 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.131 * [taylor]: Taking taylor expansion of c in b 0.131 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.131 * [taylor]: Taking taylor expansion of a in b 0.131 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in a 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in a 0.131 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.131 * [taylor]: Taking taylor expansion of b in a 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) in a 0.131 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.131 * [taylor]: Taking taylor expansion of d in a 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 a)) in a 0.131 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.131 * [taylor]: Taking taylor expansion of c in a 0.131 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.131 * [taylor]: Taking taylor expansion of a in a 0.132 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))))) in a 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 d) (+ (/ 1 c) (/ 1 a)))) in a 0.132 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.132 * [taylor]: Taking taylor expansion of b in a 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 a))) in a 0.132 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.132 * [taylor]: Taking taylor expansion of d in a 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 a)) in a 0.132 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.132 * [taylor]: Taking taylor expansion of c in a 0.132 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.132 * [taylor]: Taking taylor expansion of a in a 0.133 * [taylor]: Taking taylor expansion of -1 in b 0.134 * [taylor]: Taking taylor expansion of (- (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) in b 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in b 0.134 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.134 * [taylor]: Taking taylor expansion of c in b 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 b)) in b 0.134 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.134 * [taylor]: Taking taylor expansion of d in b 0.134 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.134 * [taylor]: Taking taylor expansion of b in b 0.135 * [taylor]: Taking taylor expansion of -1 in c 0.135 * [taylor]: Taking taylor expansion of -1 in c 0.136 * [taylor]: Taking taylor expansion of 0 in b 0.137 * [taylor]: Taking taylor expansion of (- (+ (/ 1 d) (/ 1 c))) in c 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 c)) in c 0.137 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.137 * [taylor]: Taking taylor expansion of d in c 0.137 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.137 * [taylor]: Taking taylor expansion of c in c 0.138 * [taylor]: Taking taylor expansion of -1 in d 0.138 * [taylor]: Taking taylor expansion of 0 in c 0.138 * [taylor]: Taking taylor expansion of -1 in d 0.138 * [taylor]: Taking taylor expansion of -1 in d 0.139 * [taylor]: Taking taylor expansion of 0 in b 0.139 * [taylor]: Taking taylor expansion of 0 in c 0.140 * [taylor]: Taking taylor expansion of 0 in c 0.140 * [taylor]: Taking taylor expansion of 0 in c 0.141 * [taylor]: Taking taylor expansion of (- (/ 1 d)) in d 0.141 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.141 * [taylor]: Taking taylor expansion of d in d 0.141 * [taylor]: Taking taylor expansion of 0 in d 0.141 * [taylor]: Taking taylor expansion of 0 in d 0.141 * [taylor]: Taking taylor expansion of 0 in d 0.142 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 2) 0.142 * [approximate]: Taking taylor expansion of (+ d (+ b c)) in (b c d) around 0 0.142 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in d 0.142 * [taylor]: Taking taylor expansion of d in d 0.142 * [taylor]: Taking taylor expansion of (+ b c) in d 0.142 * [taylor]: Taking taylor expansion of b in d 0.142 * [taylor]: Taking taylor expansion of c in d 0.142 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in c 0.143 * [taylor]: Taking taylor expansion of d in c 0.143 * [taylor]: Taking taylor expansion of (+ b c) in c 0.143 * [taylor]: Taking taylor expansion of b in c 0.143 * [taylor]: Taking taylor expansion of c in c 0.143 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in b 0.143 * [taylor]: Taking taylor expansion of d in b 0.143 * [taylor]: Taking taylor expansion of (+ b c) in b 0.143 * [taylor]: Taking taylor expansion of b in b 0.143 * [taylor]: Taking taylor expansion of c in b 0.143 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in b 0.143 * [taylor]: Taking taylor expansion of d in b 0.143 * [taylor]: Taking taylor expansion of (+ b c) in b 0.143 * [taylor]: Taking taylor expansion of b in b 0.143 * [taylor]: Taking taylor expansion of c in b 0.143 * [taylor]: Taking taylor expansion of (+ d c) in c 0.143 * [taylor]: Taking taylor expansion of d in c 0.143 * [taylor]: Taking taylor expansion of c in c 0.143 * [taylor]: Taking taylor expansion of d in d 0.143 * [taylor]: Taking taylor expansion of 1 in c 0.143 * [taylor]: Taking taylor expansion of 1 in d 0.144 * [taylor]: Taking taylor expansion of 1 in d 0.144 * [approximate]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in (b c d) around 0 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in d 0.144 * [taylor]: Taking taylor expansion of (/ 1 c) in d 0.144 * [taylor]: Taking taylor expansion of c in d 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 b)) in d 0.144 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.144 * [taylor]: Taking taylor expansion of d in d 0.144 * [taylor]: Taking taylor expansion of (/ 1 b) in d 0.145 * [taylor]: Taking taylor expansion of b in d 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in c 0.145 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.145 * [taylor]: Taking taylor expansion of c in c 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 b)) in c 0.145 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.145 * [taylor]: Taking taylor expansion of d in c 0.145 * [taylor]: Taking taylor expansion of (/ 1 b) in c 0.145 * [taylor]: Taking taylor expansion of b in c 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in b 0.145 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.145 * [taylor]: Taking taylor expansion of c in b 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 b)) in b 0.145 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.145 * [taylor]: Taking taylor expansion of d in b 0.145 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.145 * [taylor]: Taking taylor expansion of b in b 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in b 0.145 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.145 * [taylor]: Taking taylor expansion of c in b 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 b)) in b 0.145 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.145 * [taylor]: Taking taylor expansion of d in b 0.145 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.146 * [taylor]: Taking taylor expansion of b in b 0.146 * [taylor]: Taking taylor expansion of 1 in c 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 c)) in c 0.147 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.147 * [taylor]: Taking taylor expansion of d in c 0.147 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.147 * [taylor]: Taking taylor expansion of c in c 0.147 * [taylor]: Taking taylor expansion of 1 in d 0.147 * [taylor]: Taking taylor expansion of 1 in d 0.148 * [taylor]: Taking taylor expansion of 0 in c 0.149 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.149 * [taylor]: Taking taylor expansion of d in d 0.149 * [taylor]: Taking taylor expansion of 0 in d 0.150 * [approximate]: Taking taylor expansion of (- (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) in (b c d) around 0 0.150 * [taylor]: Taking taylor expansion of (- (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) in d 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in d 0.150 * [taylor]: Taking taylor expansion of (/ 1 c) in d 0.150 * [taylor]: Taking taylor expansion of c in d 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 b)) in d 0.150 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.150 * [taylor]: Taking taylor expansion of d in d 0.150 * [taylor]: Taking taylor expansion of (/ 1 b) in d 0.150 * [taylor]: Taking taylor expansion of b in d 0.150 * [taylor]: Taking taylor expansion of (- (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) in c 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in c 0.150 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.150 * [taylor]: Taking taylor expansion of c in c 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 b)) in c 0.150 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.150 * [taylor]: Taking taylor expansion of d in c 0.150 * [taylor]: Taking taylor expansion of (/ 1 b) in c 0.150 * [taylor]: Taking taylor expansion of b in c 0.150 * [taylor]: Taking taylor expansion of (- (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) in b 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in b 0.151 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.151 * [taylor]: Taking taylor expansion of c in b 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 b)) in b 0.151 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.151 * [taylor]: Taking taylor expansion of d in b 0.151 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.151 * [taylor]: Taking taylor expansion of b in b 0.151 * [taylor]: Taking taylor expansion of (- (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) in b 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in b 0.151 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.151 * [taylor]: Taking taylor expansion of c in b 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 b)) in b 0.151 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.151 * [taylor]: Taking taylor expansion of d in b 0.151 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.151 * [taylor]: Taking taylor expansion of b in b 0.152 * [taylor]: Taking taylor expansion of -1 in c 0.153 * [taylor]: Taking taylor expansion of (- (+ (/ 1 d) (/ 1 c))) in c 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 c)) in c 0.153 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.153 * [taylor]: Taking taylor expansion of d in c 0.153 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.153 * [taylor]: Taking taylor expansion of c in c 0.153 * [taylor]: Taking taylor expansion of -1 in d 0.153 * [taylor]: Taking taylor expansion of -1 in d 0.154 * [taylor]: Taking taylor expansion of 0 in c 0.155 * [taylor]: Taking taylor expansion of (- (/ 1 d)) in d 0.155 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.155 * [taylor]: Taking taylor expansion of d in d 0.155 * [taylor]: Taking taylor expansion of 0 in d 0.156 * * * [progress]: simplifying candidates 0.156 * [simplify]: Simplifying using # : (expm1 (+ a (+ b (+ c d)))) (log1p (+ a (+ b (+ c d)))) (* (exp a) (* (exp b) (* (exp c) (exp d)))) (* (exp a) (* (exp b) (exp (+ c d)))) (* (exp a) (exp (+ b (+ c d)))) (log (+ a (+ b (+ c d)))) (exp (+ a (+ b (+ c d)))) (* (cbrt (+ a (+ b (+ c d)))) (cbrt (+ a (+ b (+ c d))))) (cbrt (+ a (+ b (+ c d)))) (* (* (+ a (+ b (+ c d))) (+ a (+ b (+ c d)))) (+ a (+ b (+ c d)))) (sqrt (+ a (+ b (+ c d)))) (sqrt (+ a (+ b (+ c d)))) (+ (pow a 3) (pow (+ b (+ c d)) 3)) (+ (* a a) (- (* (+ b (+ c d)) (+ b (+ c d))) (* a (+ b (+ c d))))) (- (* a a) (* (+ b (+ c d)) (+ b (+ c d)))) (- a (+ b (+ c d))) (+ a (+ b (+ c d))) (+ a (+ b (+ c d))) (+ a (+ b (+ c d))) (+ a b) (expm1 (+ b (+ c d))) (log1p (+ b (+ c d))) (* (exp b) (* (exp c) (exp d))) (* (exp b) (exp (+ c d))) (log (+ b (+ c d))) (exp (+ b (+ c d))) (* (cbrt (+ b (+ c d))) (cbrt (+ b (+ c d)))) (cbrt (+ b (+ c d))) (* (* (+ b (+ c d)) (+ b (+ c d))) (+ b (+ c d))) (sqrt (+ b (+ c d))) (sqrt (+ b (+ c d))) (+ (pow b 3) (pow (+ c d) 3)) (+ (* b b) (- (* (+ c d) (+ c d)) (* b (+ c d)))) (- (* b b) (* (+ c d) (+ c d))) (- b (+ c d)) (+ b (+ c d)) (+ b (+ c d)) (+ b c) (+ a (+ b c)) (+ d (+ b c)) (+ d (+ b c)) (+ d (+ b c)) (+ d (+ b c)) (+ d (+ b c)) 0.157 * [simplify]: Sending expressions to egg_math: (expm1 (+ h0 (+ h1 (+ h2 h3)))) (log1p (+ h0 (+ h1 (+ h2 h3)))) (* (exp h0) (* (exp h1) (* (exp h2) (exp h3)))) (* (exp h0) (* (exp h1) (exp (+ h2 h3)))) (* (exp h0) (exp (+ h1 (+ h2 h3)))) (log (+ h0 (+ h1 (+ h2 h3)))) (exp (+ h0 (+ h1 (+ h2 h3)))) (* (cbrt (+ h0 (+ h1 (+ h2 h3)))) (cbrt (+ h0 (+ h1 (+ h2 h3))))) (cbrt (+ h0 (+ h1 (+ h2 h3)))) (* (* (+ h0 (+ h1 (+ h2 h3))) (+ h0 (+ h1 (+ h2 h3)))) (+ h0 (+ h1 (+ h2 h3)))) (sqrt (+ h0 (+ h1 (+ h2 h3)))) (sqrt (+ h0 (+ h1 (+ h2 h3)))) (+ (pow h0 3) (pow (+ h1 (+ h2 h3)) 3)) (+ (* h0 h0) (- (* (+ h1 (+ h2 h3)) (+ h1 (+ h2 h3))) (* h0 (+ h1 (+ h2 h3))))) (- (* h0 h0) (* (+ h1 (+ h2 h3)) (+ h1 (+ h2 h3)))) (- h0 (+ h1 (+ h2 h3))) (+ h0 (+ h1 (+ h2 h3))) (+ h0 (+ h1 (+ h2 h3))) (+ h0 (+ h1 (+ h2 h3))) (+ h0 h1) (expm1 (+ h1 (+ h2 h3))) (log1p (+ h1 (+ h2 h3))) (* (exp h1) (* (exp h2) (exp h3))) (* (exp h1) (exp (+ h2 h3))) (log (+ h1 (+ h2 h3))) (exp (+ h1 (+ h2 h3))) (* (cbrt (+ h1 (+ h2 h3))) (cbrt (+ h1 (+ h2 h3)))) (cbrt (+ h1 (+ h2 h3))) (* (* (+ h1 (+ h2 h3)) (+ h1 (+ h2 h3))) (+ h1 (+ h2 h3))) (sqrt (+ h1 (+ h2 h3))) (sqrt (+ h1 (+ h2 h3))) (+ (pow h1 3) (pow (+ h2 h3) 3)) (+ (* h1 h1) (- (* (+ h2 h3) (+ h2 h3)) (* h1 (+ h2 h3)))) (- (* h1 h1) (* (+ h2 h3) (+ h2 h3))) (- h1 (+ h2 h3)) (+ h1 (+ h2 h3)) (+ h1 (+ h2 h3)) (+ h1 h2) (+ h0 (+ h1 h2)) (+ h3 (+ h1 h2)) (+ h3 (+ h1 h2)) (+ h3 (+ h1 h2)) (+ h3 (+ h1 h2)) (+ h3 (+ h1 h2)) 0.160 * * [simplify]: iteration 0 : 180 enodes (cost 164 ) 0.164 * * [simplify]: iteration 1 : 707 enodes (cost 155 ) 0.177 * * [simplify]: iteration 2 : 4320 enodes (cost 155 ) 0.237 * * [simplify]: iteration 3 : 5001 enodes (cost 155 ) 0.238 * [simplify]: Simplified to: (expm1 (+ a (+ b (+ c d)))) (log1p (+ a (+ b (+ c d)))) (exp (+ a (+ b (+ c d)))) (exp (+ a (+ b (+ c d)))) (exp (+ a (+ b (+ c d)))) (log (+ a (+ b (+ c d)))) (exp (+ a (+ b (+ c d)))) (* (cbrt (+ a (+ b (+ c d)))) (cbrt (+ a (+ b (+ c d))))) (cbrt (+ a (+ b (+ c d)))) (pow (+ a (+ b (+ c d))) 3) (sqrt (+ a (+ b (+ c d)))) (sqrt (+ a (+ b (+ c d)))) (+ (pow a 3) (pow (+ b (+ c d)) 3)) (fma (+ b (+ c d)) (- (+ b (+ c d)) a) (* a a)) (- (* a a) (* (+ b (+ c d)) (+ b (+ c d)))) (- a (+ b (+ c d))) (+ a (+ b (+ c d))) (+ a (+ b (+ c d))) (+ a (+ b (+ c d))) (+ a b) (expm1 (+ b (+ c d))) (log1p (+ b (+ c d))) (exp (+ b (+ c d))) (exp (+ b (+ c d))) (log (+ b (+ c d))) (exp (+ b (+ c d))) (* (cbrt (+ b (+ c d))) (cbrt (+ b (+ c d)))) (cbrt (+ b (+ c d))) (pow (+ b (+ c d)) 3) (sqrt (+ b (+ c d))) (sqrt (+ b (+ c d))) (+ (pow b 3) (pow (+ c d) 3)) (fma (+ c d) (- (+ c d) b) (* b b)) (- (* b b) (* (+ c d) (+ c d))) (- b (+ c d)) (+ b (+ c d)) (+ b (+ c d)) (+ b c) (+ a (+ b c)) (+ b (+ c d)) (+ b (+ c d)) (+ b (+ c d)) (+ b (+ c d)) (+ b (+ c d)) 0.238 * * * [progress]: adding candidates to table 0.322 * * [progress]: iteration 2 / 4 0.323 * * * [progress]: picking best candidate 0.339 * * * * [pick]: Picked # 0.339 * * * [progress]: localizing error 0.345 * * * [progress]: generating rewritten candidates 0.345 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.423 * * * [progress]: generating series expansions 0.423 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.423 * [approximate]: Taking taylor expansion of (+ d (+ a (+ b c))) in (a b c d) around 0 0.423 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.423 * [taylor]: Taking taylor expansion of d in d 0.423 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in d 0.423 * [taylor]: Taking taylor expansion of a in d 0.423 * [taylor]: Taking taylor expansion of (+ b c) in d 0.423 * [taylor]: Taking taylor expansion of b in d 0.423 * [taylor]: Taking taylor expansion of c in d 0.423 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.423 * [taylor]: Taking taylor expansion of d in c 0.423 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in c 0.423 * [taylor]: Taking taylor expansion of a in c 0.423 * [taylor]: Taking taylor expansion of (+ b c) in c 0.423 * [taylor]: Taking taylor expansion of b in c 0.423 * [taylor]: Taking taylor expansion of c in c 0.423 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 0.423 * [taylor]: Taking taylor expansion of d in b 0.423 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in b 0.423 * [taylor]: Taking taylor expansion of a in b 0.423 * [taylor]: Taking taylor expansion of (+ b c) in b 0.423 * [taylor]: Taking taylor expansion of b in b 0.423 * [taylor]: Taking taylor expansion of c in b 0.423 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in a 0.423 * [taylor]: Taking taylor expansion of d in a 0.423 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in a 0.423 * [taylor]: Taking taylor expansion of a in a 0.423 * [taylor]: Taking taylor expansion of (+ b c) in a 0.423 * [taylor]: Taking taylor expansion of b in a 0.423 * [taylor]: Taking taylor expansion of c in a 0.423 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in a 0.423 * [taylor]: Taking taylor expansion of d in a 0.423 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in a 0.423 * [taylor]: Taking taylor expansion of a in a 0.423 * [taylor]: Taking taylor expansion of (+ b c) in a 0.423 * [taylor]: Taking taylor expansion of b in a 0.423 * [taylor]: Taking taylor expansion of c in a 0.424 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in b 0.424 * [taylor]: Taking taylor expansion of d in b 0.424 * [taylor]: Taking taylor expansion of (+ b c) in b 0.424 * [taylor]: Taking taylor expansion of b in b 0.424 * [taylor]: Taking taylor expansion of c in b 0.424 * [taylor]: Taking taylor expansion of (+ d c) in c 0.424 * [taylor]: Taking taylor expansion of d in c 0.424 * [taylor]: Taking taylor expansion of c in c 0.424 * [taylor]: Taking taylor expansion of d in d 0.425 * [taylor]: Taking taylor expansion of 1 in b 0.425 * [taylor]: Taking taylor expansion of 1 in c 0.425 * [taylor]: Taking taylor expansion of 1 in d 0.425 * [taylor]: Taking taylor expansion of 1 in c 0.425 * [taylor]: Taking taylor expansion of 1 in d 0.426 * [taylor]: Taking taylor expansion of 1 in d 0.426 * [approximate]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in (a b c d) around 0 0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.426 * [taylor]: Taking taylor expansion of (/ 1 b) in d 0.426 * [taylor]: Taking taylor expansion of b in d 0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in d 0.426 * [taylor]: Taking taylor expansion of (/ 1 c) in d 0.426 * [taylor]: Taking taylor expansion of c in d 0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in d 0.426 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.426 * [taylor]: Taking taylor expansion of d in d 0.427 * [taylor]: Taking taylor expansion of (/ 1 a) in d 0.427 * [taylor]: Taking taylor expansion of a in d 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.427 * [taylor]: Taking taylor expansion of (/ 1 b) in c 0.427 * [taylor]: Taking taylor expansion of b in c 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in c 0.427 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.427 * [taylor]: Taking taylor expansion of c in c 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in c 0.427 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.427 * [taylor]: Taking taylor expansion of d in c 0.427 * [taylor]: Taking taylor expansion of (/ 1 a) in c 0.427 * [taylor]: Taking taylor expansion of a in c 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.427 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.427 * [taylor]: Taking taylor expansion of b in b 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in b 0.428 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.428 * [taylor]: Taking taylor expansion of c in b 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in b 0.428 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.428 * [taylor]: Taking taylor expansion of d in b 0.428 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.428 * [taylor]: Taking taylor expansion of a in b 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 0.428 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.428 * [taylor]: Taking taylor expansion of b in a 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 0.428 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.428 * [taylor]: Taking taylor expansion of c in a 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 0.428 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.428 * [taylor]: Taking taylor expansion of d in a 0.428 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.428 * [taylor]: Taking taylor expansion of a in a 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 0.428 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.428 * [taylor]: Taking taylor expansion of b in a 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 0.428 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.428 * [taylor]: Taking taylor expansion of c in a 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 0.428 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.428 * [taylor]: Taking taylor expansion of d in a 0.428 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.428 * [taylor]: Taking taylor expansion of a in a 0.429 * [taylor]: Taking taylor expansion of 1 in b 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) in b 0.430 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.430 * [taylor]: Taking taylor expansion of d in b 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 b)) in b 0.430 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.430 * [taylor]: Taking taylor expansion of c in b 0.430 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.430 * [taylor]: Taking taylor expansion of b in b 0.431 * [taylor]: Taking taylor expansion of 1 in c 0.431 * [taylor]: Taking taylor expansion of 1 in c 0.432 * [taylor]: Taking taylor expansion of 0 in b 0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 d)) in c 0.433 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.433 * [taylor]: Taking taylor expansion of c in c 0.433 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.433 * [taylor]: Taking taylor expansion of d in c 0.433 * [taylor]: Taking taylor expansion of 1 in d 0.433 * [taylor]: Taking taylor expansion of 0 in c 0.433 * [taylor]: Taking taylor expansion of 1 in d 0.433 * [taylor]: Taking taylor expansion of 1 in d 0.435 * [taylor]: Taking taylor expansion of 0 in b 0.435 * [taylor]: Taking taylor expansion of 0 in c 0.436 * [taylor]: Taking taylor expansion of 0 in c 0.436 * [taylor]: Taking taylor expansion of 0 in c 0.436 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.436 * [taylor]: Taking taylor expansion of d in d 0.436 * [taylor]: Taking taylor expansion of 0 in d 0.436 * [taylor]: Taking taylor expansion of 0 in d 0.436 * [taylor]: Taking taylor expansion of 0 in d 0.437 * [approximate]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in (a b c d) around 0 0.437 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 0.437 * [taylor]: Taking taylor expansion of (/ 1 b) in d 0.437 * [taylor]: Taking taylor expansion of b in d 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in d 0.438 * [taylor]: Taking taylor expansion of (/ 1 c) in d 0.438 * [taylor]: Taking taylor expansion of c in d 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in d 0.438 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.438 * [taylor]: Taking taylor expansion of d in d 0.438 * [taylor]: Taking taylor expansion of (/ 1 a) in d 0.438 * [taylor]: Taking taylor expansion of a in d 0.438 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 0.438 * [taylor]: Taking taylor expansion of (/ 1 b) in c 0.438 * [taylor]: Taking taylor expansion of b in c 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in c 0.438 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.438 * [taylor]: Taking taylor expansion of c in c 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in c 0.438 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.438 * [taylor]: Taking taylor expansion of d in c 0.438 * [taylor]: Taking taylor expansion of (/ 1 a) in c 0.438 * [taylor]: Taking taylor expansion of a in c 0.438 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 0.438 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.438 * [taylor]: Taking taylor expansion of b in b 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in b 0.439 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.439 * [taylor]: Taking taylor expansion of c in b 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in b 0.439 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.439 * [taylor]: Taking taylor expansion of d in b 0.439 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.439 * [taylor]: Taking taylor expansion of a in b 0.439 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 0.439 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.439 * [taylor]: Taking taylor expansion of b in a 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 0.439 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.439 * [taylor]: Taking taylor expansion of c in a 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 0.439 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.439 * [taylor]: Taking taylor expansion of d in a 0.439 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.439 * [taylor]: Taking taylor expansion of a in a 0.439 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 0.439 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 0.439 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.439 * [taylor]: Taking taylor expansion of b in a 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 0.440 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.440 * [taylor]: Taking taylor expansion of c in a 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 0.440 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.440 * [taylor]: Taking taylor expansion of d in a 0.440 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.440 * [taylor]: Taking taylor expansion of a in a 0.441 * [taylor]: Taking taylor expansion of -1 in b 0.442 * [taylor]: Taking taylor expansion of (- (+ (/ 1 d) (+ (/ 1 c) (/ 1 b)))) in b 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) in b 0.442 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.442 * [taylor]: Taking taylor expansion of d in b 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 b)) in b 0.442 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.442 * [taylor]: Taking taylor expansion of c in b 0.442 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.442 * [taylor]: Taking taylor expansion of b in b 0.443 * [taylor]: Taking taylor expansion of -1 in c 0.443 * [taylor]: Taking taylor expansion of -1 in c 0.444 * [taylor]: Taking taylor expansion of 0 in b 0.445 * [taylor]: Taking taylor expansion of (- (+ (/ 1 c) (/ 1 d))) in c 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 d)) in c 0.445 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.445 * [taylor]: Taking taylor expansion of c in c 0.445 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.445 * [taylor]: Taking taylor expansion of d in c 0.445 * [taylor]: Taking taylor expansion of -1 in d 0.446 * [taylor]: Taking taylor expansion of 0 in c 0.446 * [taylor]: Taking taylor expansion of -1 in d 0.446 * [taylor]: Taking taylor expansion of -1 in d 0.447 * [taylor]: Taking taylor expansion of 0 in b 0.447 * [taylor]: Taking taylor expansion of 0 in c 0.449 * [taylor]: Taking taylor expansion of 0 in c 0.449 * [taylor]: Taking taylor expansion of 0 in c 0.449 * [taylor]: Taking taylor expansion of (- (/ 1 d)) in d 0.449 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.449 * [taylor]: Taking taylor expansion of d in d 0.450 * [taylor]: Taking taylor expansion of 0 in d 0.450 * [taylor]: Taking taylor expansion of 0 in d 0.450 * [taylor]: Taking taylor expansion of 0 in d 0.450 * * * [progress]: simplifying candidates 0.451 * [simplify]: Simplifying using # : (expm1 (+ a (+ (+ b c) d))) (log1p (+ a (+ (+ b c) d))) (* (exp a) (* (* (exp b) (exp c)) (exp d))) (* (exp a) (* (exp (+ b c)) (exp d))) (* (exp a) (exp (+ (+ b c) d))) (log (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (* (cbrt (+ a (+ (+ b c) d))) (cbrt (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ (* a a) (- (* (+ (+ b c) d) (+ (+ b c) d)) (* a (+ (+ b c) d)))) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (- a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ b c)) (+ a (+ b c)) (+ d (+ b c)) (+ d (+ b c)) 0.451 * [simplify]: Sending expressions to egg_math: (expm1 (+ h0 (+ (+ h1 h2) h3))) (log1p (+ h0 (+ (+ h1 h2) h3))) (* (exp h0) (* (* (exp h1) (exp h2)) (exp h3))) (* (exp h0) (* (exp (+ h1 h2)) (exp h3))) (* (exp h0) (exp (+ (+ h1 h2) h3))) (log (+ h0 (+ (+ h1 h2) h3))) (exp (+ h0 (+ (+ h1 h2) h3))) (* (cbrt (+ h0 (+ (+ h1 h2) h3))) (cbrt (+ h0 (+ (+ h1 h2) h3)))) (cbrt (+ h0 (+ (+ h1 h2) h3))) (* (* (+ h0 (+ (+ h1 h2) h3)) (+ h0 (+ (+ h1 h2) h3))) (+ h0 (+ (+ h1 h2) h3))) (sqrt (+ h0 (+ (+ h1 h2) h3))) (sqrt (+ h0 (+ (+ h1 h2) h3))) (+ (pow h0 3) (pow (+ (+ h1 h2) h3) 3)) (+ (* h0 h0) (- (* (+ (+ h1 h2) h3) (+ (+ h1 h2) h3)) (* h0 (+ (+ h1 h2) h3)))) (- (* h0 h0) (* (+ (+ h1 h2) h3) (+ (+ h1 h2) h3))) (- h0 (+ (+ h1 h2) h3)) (+ h0 (+ (+ h1 h2) h3)) (+ h0 (+ (+ h1 h2) h3)) (+ h0 (+ (+ h1 h2) h3)) (+ h0 (+ h1 h2)) (+ h0 (+ h1 h2)) (+ h3 (+ h1 h2)) (+ h3 (+ h1 h2)) 0.454 * * [simplify]: iteration 0 : 117 enodes (cost 100 ) 0.457 * * [simplify]: iteration 1 : 484 enodes (cost 92 ) 0.467 * * [simplify]: iteration 2 : 3174 enodes (cost 92 ) 0.515 * * [simplify]: iteration 3 : 5002 enodes (cost 92 ) 0.516 * [simplify]: Simplified to: (expm1 (+ a (+ (+ b c) d))) (log1p (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (log (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (* (cbrt (+ a (+ (+ b c) d))) (cbrt (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (pow (+ a (+ (+ b c) d)) 3) (sqrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3)) (fma (+ (+ b c) d) (- (+ (+ b c) d) a) (* a a)) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (- a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ b c)) (+ a (+ b c)) (+ (+ b c) d) (+ (+ b c) d) 0.516 * * * [progress]: adding candidates to table 0.560 * * [progress]: iteration 3 / 4 0.560 * * * [progress]: picking best candidate 0.584 * * * * [pick]: Picked # 0.585 * * * [progress]: localizing error 0.591 * * * [progress]: generating rewritten candidates 0.591 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.695 * * * [progress]: generating series expansions 0.695 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.695 * [approximate]: Taking taylor expansion of (+ d (+ a (+ b c))) in (a b c d) around 0 0.695 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 0.695 * [taylor]: Taking taylor expansion of d in d 0.695 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in d 0.695 * [taylor]: Taking taylor expansion of a in d 0.695 * [taylor]: Taking taylor expansion of (+ b c) in d 0.695 * [taylor]: Taking taylor expansion of b in d 0.695 * [taylor]: Taking taylor expansion of c in d 0.695 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 0.695 * [taylor]: Taking taylor expansion of d in c 0.695 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in c 0.695 * [taylor]: Taking taylor expansion of a in c 0.695 * [taylor]: Taking taylor expansion of (+ b c) in c 0.695 * [taylor]: Taking taylor expansion of b in c 0.695 * [taylor]: Taking taylor expansion of c in c 0.695 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 0.695 * [taylor]: Taking taylor expansion of d in b 0.695 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in b 0.695 * [taylor]: Taking taylor expansion of a in b 0.695 * [taylor]: Taking taylor expansion of (+ b c) in b 0.695 * [taylor]: Taking taylor expansion of b in b 0.695 * [taylor]: Taking taylor expansion of c in b 0.695 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in a 0.695 * [taylor]: Taking taylor expansion of d in a 0.695 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in a 0.695 * [taylor]: Taking taylor expansion of a in a 0.695 * [taylor]: Taking taylor expansion of (+ b c) in a 0.695 * [taylor]: Taking taylor expansion of b in a 0.695 * [taylor]: Taking taylor expansion of c in a 0.695 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in a 0.695 * [taylor]: Taking taylor expansion of d in a 0.695 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in a 0.695 * [taylor]: Taking taylor expansion of a in a 0.695 * [taylor]: Taking taylor expansion of (+ b c) in a 0.695 * [taylor]: Taking taylor expansion of b in a 0.695 * [taylor]: Taking taylor expansion of c in a 0.696 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in b 0.696 * [taylor]: Taking taylor expansion of d in b 0.696 * [taylor]: Taking taylor expansion of (+ b c) in b 0.696 * [taylor]: Taking taylor expansion of b in b 0.696 * [taylor]: Taking taylor expansion of c in b 0.696 * [taylor]: Taking taylor expansion of (+ d c) in c 0.696 * [taylor]: Taking taylor expansion of d in c 0.696 * [taylor]: Taking taylor expansion of c in c 0.696 * [taylor]: Taking taylor expansion of d in d 0.697 * [taylor]: Taking taylor expansion of 1 in b 0.697 * [taylor]: Taking taylor expansion of 1 in c 0.697 * [taylor]: Taking taylor expansion of 1 in d 0.697 * [taylor]: Taking taylor expansion of 1 in c 0.697 * [taylor]: Taking taylor expansion of 1 in d 0.698 * [taylor]: Taking taylor expansion of 1 in d 0.698 * [approximate]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 a) (+ (/ 1 c) (/ 1 b)))) in (a b c d) around 0 0.698 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 a) (+ (/ 1 c) (/ 1 b)))) in d 0.698 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.698 * [taylor]: Taking taylor expansion of d in d 0.698 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (+ (/ 1 c) (/ 1 b))) in d 0.698 * [taylor]: Taking taylor expansion of (/ 1 a) in d 0.699 * [taylor]: Taking taylor expansion of a in d 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 b)) in d 0.699 * [taylor]: Taking taylor expansion of (/ 1 c) in d 0.699 * [taylor]: Taking taylor expansion of c in d 0.699 * [taylor]: Taking taylor expansion of (/ 1 b) in d 0.699 * [taylor]: Taking taylor expansion of b in d 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 a) (+ (/ 1 c) (/ 1 b)))) in c 0.699 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.699 * [taylor]: Taking taylor expansion of d in c 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (+ (/ 1 c) (/ 1 b))) in c 0.699 * [taylor]: Taking taylor expansion of (/ 1 a) in c 0.699 * [taylor]: Taking taylor expansion of a in c 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 b)) in c 0.699 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.699 * [taylor]: Taking taylor expansion of c in c 0.699 * [taylor]: Taking taylor expansion of (/ 1 b) in c 0.699 * [taylor]: Taking taylor expansion of b in c 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 a) (+ (/ 1 c) (/ 1 b)))) in b 0.699 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.699 * [taylor]: Taking taylor expansion of d in b 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (+ (/ 1 c) (/ 1 b))) in b 0.699 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.699 * [taylor]: Taking taylor expansion of a in b 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 b)) in b 0.699 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.699 * [taylor]: Taking taylor expansion of c in b 0.699 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.699 * [taylor]: Taking taylor expansion of b in b 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 a) (+ (/ 1 c) (/ 1 b)))) in a 0.700 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.700 * [taylor]: Taking taylor expansion of d in a 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (+ (/ 1 c) (/ 1 b))) in a 0.700 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.700 * [taylor]: Taking taylor expansion of a in a 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 b)) in a 0.700 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.700 * [taylor]: Taking taylor expansion of c in a 0.700 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.700 * [taylor]: Taking taylor expansion of b in a 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 a) (+ (/ 1 c) (/ 1 b)))) in a 0.700 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.700 * [taylor]: Taking taylor expansion of d in a 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (+ (/ 1 c) (/ 1 b))) in a 0.700 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.700 * [taylor]: Taking taylor expansion of a in a 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 b)) in a 0.700 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.701 * [taylor]: Taking taylor expansion of c in a 0.701 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.701 * [taylor]: Taking taylor expansion of b in a 0.701 * [taylor]: Taking taylor expansion of 1 in b 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in b 0.702 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.702 * [taylor]: Taking taylor expansion of c in b 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 b)) in b 0.702 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.702 * [taylor]: Taking taylor expansion of d in b 0.702 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.702 * [taylor]: Taking taylor expansion of b in b 0.703 * [taylor]: Taking taylor expansion of 1 in c 0.703 * [taylor]: Taking taylor expansion of 1 in c 0.704 * [taylor]: Taking taylor expansion of 0 in b 0.704 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 c)) in c 0.704 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.704 * [taylor]: Taking taylor expansion of d in c 0.704 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.705 * [taylor]: Taking taylor expansion of c in c 0.705 * [taylor]: Taking taylor expansion of 1 in d 0.705 * [taylor]: Taking taylor expansion of 0 in c 0.705 * [taylor]: Taking taylor expansion of 1 in d 0.705 * [taylor]: Taking taylor expansion of 1 in d 0.706 * [taylor]: Taking taylor expansion of 0 in b 0.706 * [taylor]: Taking taylor expansion of 0 in c 0.707 * [taylor]: Taking taylor expansion of 0 in c 0.707 * [taylor]: Taking taylor expansion of 0 in c 0.708 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.708 * [taylor]: Taking taylor expansion of d in d 0.708 * [taylor]: Taking taylor expansion of 0 in d 0.708 * [taylor]: Taking taylor expansion of 0 in d 0.708 * [taylor]: Taking taylor expansion of 0 in d 0.709 * [approximate]: Taking taylor expansion of (- (+ (/ 1 d) (+ (/ 1 a) (+ (/ 1 c) (/ 1 b))))) in (a b c d) around 0 0.709 * [taylor]: Taking taylor expansion of (- (+ (/ 1 d) (+ (/ 1 a) (+ (/ 1 c) (/ 1 b))))) in d 0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 a) (+ (/ 1 c) (/ 1 b)))) in d 0.709 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.709 * [taylor]: Taking taylor expansion of d in d 0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (+ (/ 1 c) (/ 1 b))) in d 0.710 * [taylor]: Taking taylor expansion of (/ 1 a) in d 0.710 * [taylor]: Taking taylor expansion of a in d 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 b)) in d 0.710 * [taylor]: Taking taylor expansion of (/ 1 c) in d 0.710 * [taylor]: Taking taylor expansion of c in d 0.710 * [taylor]: Taking taylor expansion of (/ 1 b) in d 0.710 * [taylor]: Taking taylor expansion of b in d 0.710 * [taylor]: Taking taylor expansion of (- (+ (/ 1 d) (+ (/ 1 a) (+ (/ 1 c) (/ 1 b))))) in c 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 a) (+ (/ 1 c) (/ 1 b)))) in c 0.710 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.710 * [taylor]: Taking taylor expansion of d in c 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (+ (/ 1 c) (/ 1 b))) in c 0.710 * [taylor]: Taking taylor expansion of (/ 1 a) in c 0.710 * [taylor]: Taking taylor expansion of a in c 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 b)) in c 0.710 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.710 * [taylor]: Taking taylor expansion of c in c 0.710 * [taylor]: Taking taylor expansion of (/ 1 b) in c 0.710 * [taylor]: Taking taylor expansion of b in c 0.710 * [taylor]: Taking taylor expansion of (- (+ (/ 1 d) (+ (/ 1 a) (+ (/ 1 c) (/ 1 b))))) in b 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 a) (+ (/ 1 c) (/ 1 b)))) in b 0.710 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.710 * [taylor]: Taking taylor expansion of d in b 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (+ (/ 1 c) (/ 1 b))) in b 0.710 * [taylor]: Taking taylor expansion of (/ 1 a) in b 0.710 * [taylor]: Taking taylor expansion of a in b 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 b)) in b 0.710 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.710 * [taylor]: Taking taylor expansion of c in b 0.710 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.710 * [taylor]: Taking taylor expansion of b in b 0.711 * [taylor]: Taking taylor expansion of (- (+ (/ 1 d) (+ (/ 1 a) (+ (/ 1 c) (/ 1 b))))) in a 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 a) (+ (/ 1 c) (/ 1 b)))) in a 0.711 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.711 * [taylor]: Taking taylor expansion of d in a 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (+ (/ 1 c) (/ 1 b))) in a 0.711 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.711 * [taylor]: Taking taylor expansion of a in a 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 b)) in a 0.711 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.711 * [taylor]: Taking taylor expansion of c in a 0.711 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.711 * [taylor]: Taking taylor expansion of b in a 0.711 * [taylor]: Taking taylor expansion of (- (+ (/ 1 d) (+ (/ 1 a) (+ (/ 1 c) (/ 1 b))))) in a 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 a) (+ (/ 1 c) (/ 1 b)))) in a 0.711 * [taylor]: Taking taylor expansion of (/ 1 d) in a 0.711 * [taylor]: Taking taylor expansion of d in a 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (+ (/ 1 c) (/ 1 b))) in a 0.711 * [taylor]: Taking taylor expansion of (/ 1 a) in a 0.711 * [taylor]: Taking taylor expansion of a in a 0.712 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 b)) in a 0.712 * [taylor]: Taking taylor expansion of (/ 1 c) in a 0.712 * [taylor]: Taking taylor expansion of c in a 0.712 * [taylor]: Taking taylor expansion of (/ 1 b) in a 0.712 * [taylor]: Taking taylor expansion of b in a 0.712 * [taylor]: Taking taylor expansion of -1 in b 0.713 * [taylor]: Taking taylor expansion of (- (+ (/ 1 c) (+ (/ 1 d) (/ 1 b)))) in b 0.713 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 b))) in b 0.713 * [taylor]: Taking taylor expansion of (/ 1 c) in b 0.713 * [taylor]: Taking taylor expansion of c in b 0.713 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 b)) in b 0.713 * [taylor]: Taking taylor expansion of (/ 1 d) in b 0.713 * [taylor]: Taking taylor expansion of d in b 0.713 * [taylor]: Taking taylor expansion of (/ 1 b) in b 0.713 * [taylor]: Taking taylor expansion of b in b 0.714 * [taylor]: Taking taylor expansion of -1 in c 0.714 * [taylor]: Taking taylor expansion of -1 in c 0.716 * [taylor]: Taking taylor expansion of 0 in b 0.716 * [taylor]: Taking taylor expansion of (- (+ (/ 1 d) (/ 1 c))) in c 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 c)) in c 0.716 * [taylor]: Taking taylor expansion of (/ 1 d) in c 0.716 * [taylor]: Taking taylor expansion of d in c 0.716 * [taylor]: Taking taylor expansion of (/ 1 c) in c 0.716 * [taylor]: Taking taylor expansion of c in c 0.717 * [taylor]: Taking taylor expansion of -1 in d 0.717 * [taylor]: Taking taylor expansion of 0 in c 0.717 * [taylor]: Taking taylor expansion of -1 in d 0.717 * [taylor]: Taking taylor expansion of -1 in d 0.719 * [taylor]: Taking taylor expansion of 0 in b 0.719 * [taylor]: Taking taylor expansion of 0 in c 0.720 * [taylor]: Taking taylor expansion of 0 in c 0.720 * [taylor]: Taking taylor expansion of 0 in c 0.720 * [taylor]: Taking taylor expansion of (- (/ 1 d)) in d 0.721 * [taylor]: Taking taylor expansion of (/ 1 d) in d 0.721 * [taylor]: Taking taylor expansion of d in d 0.721 * [taylor]: Taking taylor expansion of 0 in d 0.721 * [taylor]: Taking taylor expansion of 0 in d 0.721 * [taylor]: Taking taylor expansion of 0 in d 0.722 * * * [progress]: simplifying candidates 0.722 * [simplify]: Simplifying using # : (expm1 (+ (+ a (+ b c)) d)) (log1p (+ (+ a (+ b c)) d)) (* (* (exp a) (* (exp b) (exp c))) (exp d)) (* (* (exp a) (exp (+ b c))) (exp d)) (* (exp (+ a (+ b c))) (exp d)) (log (+ (+ a (+ b c)) d)) (exp (+ (+ a (+ b c)) d)) (* (cbrt (+ (+ a (+ b c)) d)) (cbrt (+ (+ a (+ b c)) d))) (cbrt (+ (+ a (+ b c)) d)) (* (* (+ (+ a (+ b c)) d) (+ (+ a (+ b c)) d)) (+ (+ a (+ b c)) d)) (sqrt (+ (+ a (+ b c)) d)) (sqrt (+ (+ a (+ b c)) d)) (+ (pow (+ a (+ b c)) 3) (pow d 3)) (+ (* (+ a (+ b c)) (+ a (+ b c))) (- (* d d) (* (+ a (+ b c)) d))) (- (* (+ a (+ b c)) (+ a (+ b c))) (* d d)) (- (+ a (+ b c)) d) (+ (+ a (+ b c)) d) (+ (+ a (+ b c)) d) (+ (+ a (+ b c)) d) (+ (+ b c) d) (+ a (+ b c)) (+ d (+ b c)) (+ d (+ b c)) 0.722 * [simplify]: Sending expressions to egg_math: (expm1 (+ (+ h0 (+ h1 h2)) h3)) (log1p (+ (+ h0 (+ h1 h2)) h3)) (* (* (exp h0) (* (exp h1) (exp h2))) (exp h3)) (* (* (exp h0) (exp (+ h1 h2))) (exp h3)) (* (exp (+ h0 (+ h1 h2))) (exp h3)) (log (+ (+ h0 (+ h1 h2)) h3)) (exp (+ (+ h0 (+ h1 h2)) h3)) (* (cbrt (+ (+ h0 (+ h1 h2)) h3)) (cbrt (+ (+ h0 (+ h1 h2)) h3))) (cbrt (+ (+ h0 (+ h1 h2)) h3)) (* (* (+ (+ h0 (+ h1 h2)) h3) (+ (+ h0 (+ h1 h2)) h3)) (+ (+ h0 (+ h1 h2)) h3)) (sqrt (+ (+ h0 (+ h1 h2)) h3)) (sqrt (+ (+ h0 (+ h1 h2)) h3)) (+ (pow (+ h0 (+ h1 h2)) 3) (pow h3 3)) (+ (* (+ h0 (+ h1 h2)) (+ h0 (+ h1 h2))) (- (* h3 h3) (* (+ h0 (+ h1 h2)) h3))) (- (* (+ h0 (+ h1 h2)) (+ h0 (+ h1 h2))) (* h3 h3)) (- (+ h0 (+ h1 h2)) h3) (+ (+ h0 (+ h1 h2)) h3) (+ (+ h0 (+ h1 h2)) h3) (+ (+ h0 (+ h1 h2)) h3) (+ (+ h1 h2) h3) (+ h0 (+ h1 h2)) (+ h3 (+ h1 h2)) (+ h3 (+ h1 h2)) 0.725 * * [simplify]: iteration 0 : 111 enodes (cost 102 ) 0.728 * * [simplify]: iteration 1 : 414 enodes (cost 94 ) 0.737 * * [simplify]: iteration 2 : 2586 enodes (cost 93 ) 0.777 * * [simplify]: iteration 3 : 5001 enodes (cost 92 ) 0.778 * [simplify]: Simplified to: (expm1 (+ (+ a (+ b c)) d)) (log1p (+ (+ a (+ b c)) d)) (exp (+ (+ a (+ b c)) d)) (exp (+ (+ a (+ b c)) d)) (exp (+ (+ a (+ b c)) d)) (log (+ (+ a (+ b c)) d)) (exp (+ (+ a (+ b c)) d)) (* (cbrt (+ (+ a (+ b c)) d)) (cbrt (+ (+ a (+ b c)) d))) (cbrt (+ (+ a (+ b c)) d)) (pow (+ (+ a (+ b c)) d) 3) (sqrt (+ (+ a (+ b c)) d)) (sqrt (+ (+ a (+ b c)) d)) (+ (pow (+ a (+ b c)) 3) (pow d 3)) (fma (+ a (+ b c)) (- (+ a (+ b c)) d) (* d d)) (- (* (+ a (+ b c)) (+ a (+ b c))) (* d d)) (- (+ a (+ b c)) d) (+ (+ a (+ b c)) d) (+ (+ a (+ b c)) d) (+ (+ a (+ b c)) d) (+ (+ b c) d) (+ a (+ b c)) (+ (+ b c) d) (+ (+ b c) d) 0.778 * * * [progress]: adding candidates to table 0.823 * * [progress]: iteration 4 / 4 0.823 * * * [progress]: picking best candidate 0.847 * * * * [pick]: Picked # 0.847 * * * [progress]: localizing error 0.861 * * * [progress]: generating rewritten candidates 0.861 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 1 1) 0.927 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.024 * * * [progress]: generating series expansions 1.024 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 1 1) 1.025 * [approximate]: Taking taylor expansion of (+ d (+ a (+ b c))) in (a b c d) around 0 1.025 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 1.025 * [taylor]: Taking taylor expansion of d in d 1.025 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in d 1.025 * [taylor]: Taking taylor expansion of a in d 1.025 * [taylor]: Taking taylor expansion of (+ b c) in d 1.025 * [taylor]: Taking taylor expansion of b in d 1.025 * [taylor]: Taking taylor expansion of c in d 1.025 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 1.025 * [taylor]: Taking taylor expansion of d in c 1.025 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in c 1.025 * [taylor]: Taking taylor expansion of a in c 1.025 * [taylor]: Taking taylor expansion of (+ b c) in c 1.025 * [taylor]: Taking taylor expansion of b in c 1.025 * [taylor]: Taking taylor expansion of c in c 1.025 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 1.025 * [taylor]: Taking taylor expansion of d in b 1.025 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in b 1.025 * [taylor]: Taking taylor expansion of a in b 1.025 * [taylor]: Taking taylor expansion of (+ b c) in b 1.025 * [taylor]: Taking taylor expansion of b in b 1.025 * [taylor]: Taking taylor expansion of c in b 1.025 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in a 1.025 * [taylor]: Taking taylor expansion of d in a 1.025 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in a 1.025 * [taylor]: Taking taylor expansion of a in a 1.025 * [taylor]: Taking taylor expansion of (+ b c) in a 1.025 * [taylor]: Taking taylor expansion of b in a 1.025 * [taylor]: Taking taylor expansion of c in a 1.025 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in a 1.025 * [taylor]: Taking taylor expansion of d in a 1.025 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in a 1.025 * [taylor]: Taking taylor expansion of a in a 1.025 * [taylor]: Taking taylor expansion of (+ b c) in a 1.025 * [taylor]: Taking taylor expansion of b in a 1.025 * [taylor]: Taking taylor expansion of c in a 1.025 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in b 1.025 * [taylor]: Taking taylor expansion of d in b 1.025 * [taylor]: Taking taylor expansion of (+ b c) in b 1.025 * [taylor]: Taking taylor expansion of b in b 1.025 * [taylor]: Taking taylor expansion of c in b 1.025 * [taylor]: Taking taylor expansion of (+ d c) in c 1.025 * [taylor]: Taking taylor expansion of d in c 1.025 * [taylor]: Taking taylor expansion of c in c 1.025 * [taylor]: Taking taylor expansion of d in d 1.027 * [taylor]: Taking taylor expansion of 1 in b 1.027 * [taylor]: Taking taylor expansion of 1 in c 1.027 * [taylor]: Taking taylor expansion of 1 in d 1.027 * [taylor]: Taking taylor expansion of 1 in c 1.027 * [taylor]: Taking taylor expansion of 1 in d 1.028 * [taylor]: Taking taylor expansion of 1 in d 1.028 * [approximate]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in (a b c d) around 0 1.028 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 1.028 * [taylor]: Taking taylor expansion of (/ 1 b) in d 1.028 * [taylor]: Taking taylor expansion of b in d 1.028 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in d 1.028 * [taylor]: Taking taylor expansion of (/ 1 c) in d 1.028 * [taylor]: Taking taylor expansion of c in d 1.028 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in d 1.028 * [taylor]: Taking taylor expansion of (/ 1 d) in d 1.028 * [taylor]: Taking taylor expansion of d in d 1.029 * [taylor]: Taking taylor expansion of (/ 1 a) in d 1.029 * [taylor]: Taking taylor expansion of a in d 1.029 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 1.029 * [taylor]: Taking taylor expansion of (/ 1 b) in c 1.029 * [taylor]: Taking taylor expansion of b in c 1.029 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in c 1.029 * [taylor]: Taking taylor expansion of (/ 1 c) in c 1.029 * [taylor]: Taking taylor expansion of c in c 1.029 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in c 1.029 * [taylor]: Taking taylor expansion of (/ 1 d) in c 1.029 * [taylor]: Taking taylor expansion of d in c 1.029 * [taylor]: Taking taylor expansion of (/ 1 a) in c 1.029 * [taylor]: Taking taylor expansion of a in c 1.029 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 1.029 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.029 * [taylor]: Taking taylor expansion of b in b 1.029 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in b 1.030 * [taylor]: Taking taylor expansion of (/ 1 c) in b 1.030 * [taylor]: Taking taylor expansion of c in b 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in b 1.030 * [taylor]: Taking taylor expansion of (/ 1 d) in b 1.030 * [taylor]: Taking taylor expansion of d in b 1.030 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.030 * [taylor]: Taking taylor expansion of a in b 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 1.030 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.030 * [taylor]: Taking taylor expansion of b in a 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 1.030 * [taylor]: Taking taylor expansion of (/ 1 c) in a 1.030 * [taylor]: Taking taylor expansion of c in a 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 1.030 * [taylor]: Taking taylor expansion of (/ 1 d) in a 1.030 * [taylor]: Taking taylor expansion of d in a 1.030 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.030 * [taylor]: Taking taylor expansion of a in a 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 1.030 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.030 * [taylor]: Taking taylor expansion of b in a 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 1.030 * [taylor]: Taking taylor expansion of (/ 1 c) in a 1.030 * [taylor]: Taking taylor expansion of c in a 1.030 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 1.030 * [taylor]: Taking taylor expansion of (/ 1 d) in a 1.030 * [taylor]: Taking taylor expansion of d in a 1.030 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.030 * [taylor]: Taking taylor expansion of a in a 1.031 * [taylor]: Taking taylor expansion of 1 in b 1.032 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) in b 1.032 * [taylor]: Taking taylor expansion of (/ 1 d) in b 1.032 * [taylor]: Taking taylor expansion of d in b 1.032 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 b)) in b 1.032 * [taylor]: Taking taylor expansion of (/ 1 c) in b 1.032 * [taylor]: Taking taylor expansion of c in b 1.032 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.032 * [taylor]: Taking taylor expansion of b in b 1.033 * [taylor]: Taking taylor expansion of 1 in c 1.033 * [taylor]: Taking taylor expansion of 1 in c 1.034 * [taylor]: Taking taylor expansion of 0 in b 1.035 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 d)) in c 1.035 * [taylor]: Taking taylor expansion of (/ 1 c) in c 1.035 * [taylor]: Taking taylor expansion of c in c 1.035 * [taylor]: Taking taylor expansion of (/ 1 d) in c 1.035 * [taylor]: Taking taylor expansion of d in c 1.035 * [taylor]: Taking taylor expansion of 1 in d 1.035 * [taylor]: Taking taylor expansion of 0 in c 1.035 * [taylor]: Taking taylor expansion of 1 in d 1.035 * [taylor]: Taking taylor expansion of 1 in d 1.037 * [taylor]: Taking taylor expansion of 0 in b 1.037 * [taylor]: Taking taylor expansion of 0 in c 1.038 * [taylor]: Taking taylor expansion of 0 in c 1.038 * [taylor]: Taking taylor expansion of 0 in c 1.038 * [taylor]: Taking taylor expansion of (/ 1 d) in d 1.038 * [taylor]: Taking taylor expansion of d in d 1.038 * [taylor]: Taking taylor expansion of 0 in d 1.038 * [taylor]: Taking taylor expansion of 0 in d 1.039 * [taylor]: Taking taylor expansion of 0 in d 1.040 * [approximate]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in (a b c d) around 0 1.040 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 1.040 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 1.040 * [taylor]: Taking taylor expansion of (/ 1 b) in d 1.040 * [taylor]: Taking taylor expansion of b in d 1.040 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in d 1.040 * [taylor]: Taking taylor expansion of (/ 1 c) in d 1.040 * [taylor]: Taking taylor expansion of c in d 1.040 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in d 1.040 * [taylor]: Taking taylor expansion of (/ 1 d) in d 1.040 * [taylor]: Taking taylor expansion of d in d 1.040 * [taylor]: Taking taylor expansion of (/ 1 a) in d 1.040 * [taylor]: Taking taylor expansion of a in d 1.040 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 1.040 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 1.040 * [taylor]: Taking taylor expansion of (/ 1 b) in c 1.040 * [taylor]: Taking taylor expansion of b in c 1.040 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in c 1.040 * [taylor]: Taking taylor expansion of (/ 1 c) in c 1.040 * [taylor]: Taking taylor expansion of c in c 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in c 1.041 * [taylor]: Taking taylor expansion of (/ 1 d) in c 1.041 * [taylor]: Taking taylor expansion of d in c 1.041 * [taylor]: Taking taylor expansion of (/ 1 a) in c 1.041 * [taylor]: Taking taylor expansion of a in c 1.041 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 1.041 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.041 * [taylor]: Taking taylor expansion of b in b 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in b 1.041 * [taylor]: Taking taylor expansion of (/ 1 c) in b 1.041 * [taylor]: Taking taylor expansion of c in b 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in b 1.041 * [taylor]: Taking taylor expansion of (/ 1 d) in b 1.041 * [taylor]: Taking taylor expansion of d in b 1.041 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.041 * [taylor]: Taking taylor expansion of a in b 1.041 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 1.041 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.041 * [taylor]: Taking taylor expansion of b in a 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 1.041 * [taylor]: Taking taylor expansion of (/ 1 c) in a 1.041 * [taylor]: Taking taylor expansion of c in a 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 1.041 * [taylor]: Taking taylor expansion of (/ 1 d) in a 1.041 * [taylor]: Taking taylor expansion of d in a 1.041 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.041 * [taylor]: Taking taylor expansion of a in a 1.042 * [taylor]: Taking taylor expansion of (- (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 1.042 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 1.042 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.042 * [taylor]: Taking taylor expansion of b in a 1.042 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 1.042 * [taylor]: Taking taylor expansion of (/ 1 c) in a 1.042 * [taylor]: Taking taylor expansion of c in a 1.042 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 1.042 * [taylor]: Taking taylor expansion of (/ 1 d) in a 1.042 * [taylor]: Taking taylor expansion of d in a 1.042 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.042 * [taylor]: Taking taylor expansion of a in a 1.043 * [taylor]: Taking taylor expansion of -1 in b 1.044 * [taylor]: Taking taylor expansion of (- (+ (/ 1 d) (+ (/ 1 c) (/ 1 b)))) in b 1.044 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) in b 1.044 * [taylor]: Taking taylor expansion of (/ 1 d) in b 1.044 * [taylor]: Taking taylor expansion of d in b 1.044 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 b)) in b 1.044 * [taylor]: Taking taylor expansion of (/ 1 c) in b 1.044 * [taylor]: Taking taylor expansion of c in b 1.044 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.044 * [taylor]: Taking taylor expansion of b in b 1.048 * [taylor]: Taking taylor expansion of -1 in c 1.048 * [taylor]: Taking taylor expansion of -1 in c 1.049 * [taylor]: Taking taylor expansion of 0 in b 1.050 * [taylor]: Taking taylor expansion of (- (+ (/ 1 c) (/ 1 d))) in c 1.050 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 d)) in c 1.050 * [taylor]: Taking taylor expansion of (/ 1 c) in c 1.050 * [taylor]: Taking taylor expansion of c in c 1.050 * [taylor]: Taking taylor expansion of (/ 1 d) in c 1.050 * [taylor]: Taking taylor expansion of d in c 1.051 * [taylor]: Taking taylor expansion of -1 in d 1.051 * [taylor]: Taking taylor expansion of 0 in c 1.051 * [taylor]: Taking taylor expansion of -1 in d 1.051 * [taylor]: Taking taylor expansion of -1 in d 1.052 * [taylor]: Taking taylor expansion of 0 in b 1.052 * [taylor]: Taking taylor expansion of 0 in c 1.053 * [taylor]: Taking taylor expansion of 0 in c 1.054 * [taylor]: Taking taylor expansion of 0 in c 1.054 * [taylor]: Taking taylor expansion of (- (/ 1 d)) in d 1.054 * [taylor]: Taking taylor expansion of (/ 1 d) in d 1.054 * [taylor]: Taking taylor expansion of d in d 1.055 * [taylor]: Taking taylor expansion of 0 in d 1.055 * [taylor]: Taking taylor expansion of 0 in d 1.055 * [taylor]: Taking taylor expansion of 0 in d 1.055 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.056 * [approximate]: Taking taylor expansion of (+ d (+ a (+ b c))) in (a b c d) around 0 1.056 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in d 1.056 * [taylor]: Taking taylor expansion of d in d 1.056 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in d 1.056 * [taylor]: Taking taylor expansion of a in d 1.056 * [taylor]: Taking taylor expansion of (+ b c) in d 1.056 * [taylor]: Taking taylor expansion of b in d 1.056 * [taylor]: Taking taylor expansion of c in d 1.056 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in c 1.056 * [taylor]: Taking taylor expansion of d in c 1.056 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in c 1.056 * [taylor]: Taking taylor expansion of a in c 1.056 * [taylor]: Taking taylor expansion of (+ b c) in c 1.056 * [taylor]: Taking taylor expansion of b in c 1.056 * [taylor]: Taking taylor expansion of c in c 1.056 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in b 1.056 * [taylor]: Taking taylor expansion of d in b 1.056 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in b 1.056 * [taylor]: Taking taylor expansion of a in b 1.056 * [taylor]: Taking taylor expansion of (+ b c) in b 1.056 * [taylor]: Taking taylor expansion of b in b 1.056 * [taylor]: Taking taylor expansion of c in b 1.056 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in a 1.056 * [taylor]: Taking taylor expansion of d in a 1.056 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in a 1.056 * [taylor]: Taking taylor expansion of a in a 1.056 * [taylor]: Taking taylor expansion of (+ b c) in a 1.056 * [taylor]: Taking taylor expansion of b in a 1.056 * [taylor]: Taking taylor expansion of c in a 1.056 * [taylor]: Taking taylor expansion of (+ d (+ a (+ b c))) in a 1.056 * [taylor]: Taking taylor expansion of d in a 1.056 * [taylor]: Taking taylor expansion of (+ a (+ b c)) in a 1.056 * [taylor]: Taking taylor expansion of a in a 1.056 * [taylor]: Taking taylor expansion of (+ b c) in a 1.056 * [taylor]: Taking taylor expansion of b in a 1.056 * [taylor]: Taking taylor expansion of c in a 1.056 * [taylor]: Taking taylor expansion of (+ d (+ b c)) in b 1.056 * [taylor]: Taking taylor expansion of d in b 1.056 * [taylor]: Taking taylor expansion of (+ b c) in b 1.056 * [taylor]: Taking taylor expansion of b in b 1.056 * [taylor]: Taking taylor expansion of c in b 1.056 * [taylor]: Taking taylor expansion of (+ d c) in c 1.056 * [taylor]: Taking taylor expansion of d in c 1.056 * [taylor]: Taking taylor expansion of c in c 1.057 * [taylor]: Taking taylor expansion of d in d 1.057 * [taylor]: Taking taylor expansion of 1 in b 1.057 * [taylor]: Taking taylor expansion of 1 in c 1.057 * [taylor]: Taking taylor expansion of 1 in d 1.058 * [taylor]: Taking taylor expansion of 1 in c 1.058 * [taylor]: Taking taylor expansion of 1 in d 1.058 * [taylor]: Taking taylor expansion of 1 in d 1.059 * [approximate]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in (a b c d) around 0 1.059 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 1.059 * [taylor]: Taking taylor expansion of (/ 1 b) in d 1.059 * [taylor]: Taking taylor expansion of b in d 1.059 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in d 1.059 * [taylor]: Taking taylor expansion of (/ 1 c) in d 1.059 * [taylor]: Taking taylor expansion of c in d 1.059 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in d 1.059 * [taylor]: Taking taylor expansion of (/ 1 d) in d 1.059 * [taylor]: Taking taylor expansion of d in d 1.059 * [taylor]: Taking taylor expansion of (/ 1 a) in d 1.059 * [taylor]: Taking taylor expansion of a in d 1.059 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 1.059 * [taylor]: Taking taylor expansion of (/ 1 b) in c 1.059 * [taylor]: Taking taylor expansion of b in c 1.059 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in c 1.059 * [taylor]: Taking taylor expansion of (/ 1 c) in c 1.059 * [taylor]: Taking taylor expansion of c in c 1.060 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in c 1.060 * [taylor]: Taking taylor expansion of (/ 1 d) in c 1.060 * [taylor]: Taking taylor expansion of d in c 1.060 * [taylor]: Taking taylor expansion of (/ 1 a) in c 1.060 * [taylor]: Taking taylor expansion of a in c 1.060 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 1.060 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.060 * [taylor]: Taking taylor expansion of b in b 1.060 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in b 1.060 * [taylor]: Taking taylor expansion of (/ 1 c) in b 1.060 * [taylor]: Taking taylor expansion of c in b 1.060 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in b 1.060 * [taylor]: Taking taylor expansion of (/ 1 d) in b 1.060 * [taylor]: Taking taylor expansion of d in b 1.060 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.060 * [taylor]: Taking taylor expansion of a in b 1.060 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 1.060 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.060 * [taylor]: Taking taylor expansion of b in a 1.060 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 1.060 * [taylor]: Taking taylor expansion of (/ 1 c) in a 1.060 * [taylor]: Taking taylor expansion of c in a 1.060 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 1.060 * [taylor]: Taking taylor expansion of (/ 1 d) in a 1.060 * [taylor]: Taking taylor expansion of d in a 1.060 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.060 * [taylor]: Taking taylor expansion of a in a 1.061 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 1.061 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.061 * [taylor]: Taking taylor expansion of b in a 1.061 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 1.061 * [taylor]: Taking taylor expansion of (/ 1 c) in a 1.061 * [taylor]: Taking taylor expansion of c in a 1.061 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 1.061 * [taylor]: Taking taylor expansion of (/ 1 d) in a 1.061 * [taylor]: Taking taylor expansion of d in a 1.061 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.061 * [taylor]: Taking taylor expansion of a in a 1.062 * [taylor]: Taking taylor expansion of 1 in b 1.062 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (+ (/ 1 c) (/ 1 b))) in b 1.062 * [taylor]: Taking taylor expansion of (/ 1 d) in b 1.062 * [taylor]: Taking taylor expansion of d in b 1.062 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 b)) in b 1.063 * [taylor]: Taking taylor expansion of (/ 1 c) in b 1.063 * [taylor]: Taking taylor expansion of c in b 1.063 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.063 * [taylor]: Taking taylor expansion of b in b 1.063 * [taylor]: Taking taylor expansion of 1 in c 1.063 * [taylor]: Taking taylor expansion of 1 in c 1.065 * [taylor]: Taking taylor expansion of 0 in b 1.065 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (/ 1 d)) in c 1.065 * [taylor]: Taking taylor expansion of (/ 1 c) in c 1.065 * [taylor]: Taking taylor expansion of c in c 1.065 * [taylor]: Taking taylor expansion of (/ 1 d) in c 1.065 * [taylor]: Taking taylor expansion of d in c 1.066 * [taylor]: Taking taylor expansion of 1 in d 1.066 * [taylor]: Taking taylor expansion of 0 in c 1.066 * [taylor]: Taking taylor expansion of 1 in d 1.066 * [taylor]: Taking taylor expansion of 1 in d 1.067 * [taylor]: Taking taylor expansion of 0 in b 1.067 * [taylor]: Taking taylor expansion of 0 in c 1.068 * [taylor]: Taking taylor expansion of 0 in c 1.068 * [taylor]: Taking taylor expansion of 0 in c 1.069 * [taylor]: Taking taylor expansion of (/ 1 d) in d 1.069 * [taylor]: Taking taylor expansion of d in d 1.069 * [taylor]: Taking taylor expansion of 0 in d 1.069 * [taylor]: Taking taylor expansion of 0 in d 1.069 * [taylor]: Taking taylor expansion of 0 in d 1.070 * [approximate]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in (a b c d) around 0 1.070 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in d 1.070 * [taylor]: Taking taylor expansion of (cbrt -1) in d 1.070 * [taylor]: Taking taylor expansion of -1 in d 1.071 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in d 1.071 * [taylor]: Taking taylor expansion of (/ 1 b) in d 1.071 * [taylor]: Taking taylor expansion of b in d 1.071 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in d 1.071 * [taylor]: Taking taylor expansion of (/ 1 c) in d 1.071 * [taylor]: Taking taylor expansion of c in d 1.071 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in d 1.071 * [taylor]: Taking taylor expansion of (/ 1 d) in d 1.071 * [taylor]: Taking taylor expansion of d in d 1.071 * [taylor]: Taking taylor expansion of (/ 1 a) in d 1.071 * [taylor]: Taking taylor expansion of a in d 1.071 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in c 1.071 * [taylor]: Taking taylor expansion of (cbrt -1) in c 1.071 * [taylor]: Taking taylor expansion of -1 in c 1.072 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in c 1.072 * [taylor]: Taking taylor expansion of (/ 1 b) in c 1.072 * [taylor]: Taking taylor expansion of b in c 1.072 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in c 1.072 * [taylor]: Taking taylor expansion of (/ 1 c) in c 1.072 * [taylor]: Taking taylor expansion of c in c 1.073 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in c 1.073 * [taylor]: Taking taylor expansion of (/ 1 d) in c 1.073 * [taylor]: Taking taylor expansion of d in c 1.073 * [taylor]: Taking taylor expansion of (/ 1 a) in c 1.073 * [taylor]: Taking taylor expansion of a in c 1.073 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in b 1.073 * [taylor]: Taking taylor expansion of (cbrt -1) in b 1.073 * [taylor]: Taking taylor expansion of -1 in b 1.073 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in b 1.073 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.073 * [taylor]: Taking taylor expansion of b in b 1.074 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in b 1.074 * [taylor]: Taking taylor expansion of (/ 1 c) in b 1.074 * [taylor]: Taking taylor expansion of c in b 1.074 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in b 1.074 * [taylor]: Taking taylor expansion of (/ 1 d) in b 1.074 * [taylor]: Taking taylor expansion of d in b 1.074 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.074 * [taylor]: Taking taylor expansion of a in b 1.074 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 1.074 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.074 * [taylor]: Taking taylor expansion of -1 in a 1.075 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 1.075 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.075 * [taylor]: Taking taylor expansion of b in a 1.075 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 1.075 * [taylor]: Taking taylor expansion of (/ 1 c) in a 1.075 * [taylor]: Taking taylor expansion of c in a 1.075 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 1.075 * [taylor]: Taking taylor expansion of (/ 1 d) in a 1.075 * [taylor]: Taking taylor expansion of d in a 1.075 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.075 * [taylor]: Taking taylor expansion of a in a 1.075 * [taylor]: Taking taylor expansion of (* (cbrt -1) (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))))) in a 1.075 * [taylor]: Taking taylor expansion of (cbrt -1) in a 1.075 * [taylor]: Taking taylor expansion of -1 in a 1.076 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (+ (/ 1 c) (+ (/ 1 d) (/ 1 a)))) in a 1.076 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.076 * [taylor]: Taking taylor expansion of b in a 1.076 * [taylor]: Taking taylor expansion of (+ (/ 1 c) (+ (/ 1 d) (/ 1 a))) in a 1.076 * [taylor]: Taking taylor expansion of (/ 1 c) in a 1.076 * [taylor]: Taking taylor expansion of c in a 1.076 * [taylor]: Taking taylor expansion of (+ (/ 1 d) (/ 1 a)) in a 1.076 * [taylor]: Taking taylor expansion of (/ 1 d) in a 1.076 * [taylor]: Taking taylor expansion of d in a 1.076 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.076 * [taylor]: Taking taylor expansion of a in a 1.078 * [taylor]: Taking taylor expansion of (cbrt -1) in b 1.078 * [taylor]: Taking taylor expansion of -1 in b 1.079 * [taylor]: Taking taylor expansion of (+ (/ (cbrt -1) c) (+ (/ (cbrt -1) d) (/ (cbrt -1) b))) in b 1.079 * [taylor]: Taking taylor expansion of (/ (cbrt -1) c) in b 1.079 * [taylor]: Taking taylor expansion of (cbrt -1) in b 1.079 * [taylor]: Taking taylor expansion of -1 in b 1.080 * [taylor]: Taking taylor expansion of c in b 1.080 * [taylor]: Taking taylor expansion of (+ (/ (cbrt -1) d) (/ (cbrt -1) b)) in b 1.080 * [taylor]: Taking taylor expansion of (/ (cbrt -1) d) in b 1.080 * [taylor]: Taking taylor expansion of (cbrt -1) in b 1.080 * [taylor]: Taking taylor expansion of -1 in b 1.081 * [taylor]: Taking taylor expansion of d in b 1.081 * [taylor]: Taking taylor expansion of (/ (cbrt -1) b) in b 1.081 * [taylor]: Taking taylor expansion of (cbrt -1) in b 1.081 * [taylor]: Taking taylor expansion of -1 in b 1.082 * [taylor]: Taking taylor expansion of b in b 1.084 * [taylor]: Taking taylor expansion of (cbrt -1) in c 1.084 * [taylor]: Taking taylor expansion of -1 in c 1.084 * [taylor]: Taking taylor expansion of (cbrt -1) in c 1.084 * [taylor]: Taking taylor expansion of -1 in c 1.088 * [taylor]: Taking taylor expansion of 0 in b 1.089 * [taylor]: Taking taylor expansion of (+ (/ (cbrt -1) c) (/ (cbrt -1) d)) in c 1.090 * [taylor]: Taking taylor expansion of (/ (cbrt -1) c) in c 1.090 * [taylor]: Taking taylor expansion of (cbrt -1) in c 1.090 * [taylor]: Taking taylor expansion of -1 in c 1.090 * [taylor]: Taking taylor expansion of c in c 1.091 * [taylor]: Taking taylor expansion of (/ (cbrt -1) d) in c 1.091 * [taylor]: Taking taylor expansion of (cbrt -1) in c 1.091 * [taylor]: Taking taylor expansion of -1 in c 1.091 * [taylor]: Taking taylor expansion of d in c 1.092 * [taylor]: Taking taylor expansion of (cbrt -1) in d 1.092 * [taylor]: Taking taylor expansion of -1 in d 1.093 * [taylor]: Taking taylor expansion of 0 in c 1.093 * [taylor]: Taking taylor expansion of (cbrt -1) in d 1.093 * [taylor]: Taking taylor expansion of -1 in d 1.094 * [taylor]: Taking taylor expansion of (cbrt -1) in d 1.094 * [taylor]: Taking taylor expansion of -1 in d 1.097 * [taylor]: Taking taylor expansion of 0 in b 1.097 * [taylor]: Taking taylor expansion of 0 in c 1.100 * [taylor]: Taking taylor expansion of 0 in c 1.101 * [taylor]: Taking taylor expansion of 0 in c 1.102 * [taylor]: Taking taylor expansion of (/ (cbrt -1) d) in d 1.102 * [taylor]: Taking taylor expansion of (cbrt -1) in d 1.102 * [taylor]: Taking taylor expansion of -1 in d 1.102 * [taylor]: Taking taylor expansion of d in d 1.103 * [taylor]: Taking taylor expansion of 0 in d 1.103 * [taylor]: Taking taylor expansion of 0 in d 1.103 * [taylor]: Taking taylor expansion of 0 in d 1.105 * * * [progress]: simplifying candidates 1.106 * [simplify]: Simplifying using # : (expm1 (+ a (+ (+ b c) d))) (log1p (+ a (+ (+ b c) d))) (* (exp a) (* (* (exp b) (exp c)) (exp d))) (* (exp a) (* (exp (+ b c)) (exp d))) (* (exp a) (exp (+ (+ b c) d))) (log (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (* (cbrt (+ a (+ (+ b c) d))) (cbrt (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (* (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d))) (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3)) (+ (* a a) (- (* (+ (+ b c) d) (+ (+ b c) d)) (* a (+ (+ b c) d)))) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (- a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ b c)) (expm1 (cbrt (pow (+ a (+ (+ b c) d)) 3))) (log1p (cbrt (pow (+ a (+ (+ b c) d)) 3))) (log (cbrt (pow (+ a (+ (+ b c) d)) 3))) (exp (cbrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt (pow (* (cbrt (+ a (+ (+ b c) d))) (cbrt (+ a (+ (+ b c) d)))) 3)) (cbrt (pow (cbrt (+ a (+ (+ b c) d))) 3)) (cbrt (pow (sqrt (+ a (+ (+ b c) d))) 3)) (cbrt (pow (sqrt (+ a (+ (+ b c) d))) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (cbrt (* (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)))) (cbrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt (pow (* (cbrt (+ a (+ (+ b c) d))) (cbrt (+ a (+ (+ b c) d)))) 3)) (cbrt (pow (cbrt (+ a (+ (+ b c) d))) 3)) (cbrt (pow (sqrt (+ a (+ (+ b c) d))) 3)) (cbrt (pow (sqrt (+ a (+ (+ b c) d))) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (+ a (+ (+ b c) d))) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (sqrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt (sqrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt 1) (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow (+ a (+ (+ b c) d)) (/ 3 2))) (cbrt (pow (+ a (+ (+ b c) d)) (/ 3 2))) (cbrt (pow (+ (pow a 3) (pow (+ (+ b c) d) 3)) 3)) (cbrt (pow (+ (* a a) (- (* (+ (+ b c) d) (+ (+ b c) d)) (* a (+ (+ b c) d)))) 3)) (cbrt (pow (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) 3)) (cbrt (pow (- a (+ (+ b c) d)) 3)) (* (cbrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt (cbrt (pow (+ a (+ (+ b c) d)) 3)))) (cbrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) (* (* (cbrt (pow (+ a (+ (+ b c) d)) 3)) (cbrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt (pow (+ a (+ (+ b c) d)) 3))) (sqrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) (sqrt (cbrt (pow (+ a (+ (+ b c) d)) 3))) (+ a (+ b c)) (+ d (+ b c)) (+ d (+ b c)) (+ a (+ b c)) (+ d (+ b c)) (- (+ (* (cbrt -1) b) (+ (* (cbrt -1) c) (* d (cbrt -1))))) 1.107 * [simplify]: Sending expressions to egg_math: (expm1 (+ h0 (+ (+ h1 h2) h3))) (log1p (+ h0 (+ (+ h1 h2) h3))) (* (exp h0) (* (* (exp h1) (exp h2)) (exp h3))) (* (exp h0) (* (exp (+ h1 h2)) (exp h3))) (* (exp h0) (exp (+ (+ h1 h2) h3))) (log (+ h0 (+ (+ h1 h2) h3))) (exp (+ h0 (+ (+ h1 h2) h3))) (* (cbrt (+ h0 (+ (+ h1 h2) h3))) (cbrt (+ h0 (+ (+ h1 h2) h3)))) (cbrt (+ h0 (+ (+ h1 h2) h3))) (* (* (+ h0 (+ (+ h1 h2) h3)) (+ h0 (+ (+ h1 h2) h3))) (+ h0 (+ (+ h1 h2) h3))) (sqrt (+ h0 (+ (+ h1 h2) h3))) (sqrt (+ h0 (+ (+ h1 h2) h3))) (+ (pow h0 3) (pow (+ (+ h1 h2) h3) 3)) (+ (* h0 h0) (- (* (+ (+ h1 h2) h3) (+ (+ h1 h2) h3)) (* h0 (+ (+ h1 h2) h3)))) (- (* h0 h0) (* (+ (+ h1 h2) h3) (+ (+ h1 h2) h3))) (- h0 (+ (+ h1 h2) h3)) (+ h0 (+ (+ h1 h2) h3)) (+ h0 (+ (+ h1 h2) h3)) (+ h0 (+ (+ h1 h2) h3)) (+ h0 (+ h1 h2)) (expm1 (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3))) (log1p (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3))) (log (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3))) (exp (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3))) (cbrt (pow (* (cbrt (+ h0 (+ (+ h1 h2) h3))) (cbrt (+ h0 (+ (+ h1 h2) h3)))) 3)) (cbrt (pow (cbrt (+ h0 (+ (+ h1 h2) h3))) 3)) (cbrt (pow (sqrt (+ h0 (+ (+ h1 h2) h3))) 3)) (cbrt (pow (sqrt (+ h0 (+ (+ h1 h2) h3))) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3)) (cbrt (* (+ h0 (+ (+ h1 h2) h3)) (+ h0 (+ (+ h1 h2) h3)))) (cbrt (+ h0 (+ (+ h1 h2) h3))) (cbrt (* (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3)) (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3)))) (cbrt (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3))) (cbrt (pow (* (cbrt (+ h0 (+ (+ h1 h2) h3))) (cbrt (+ h0 (+ (+ h1 h2) h3)))) 3)) (cbrt (pow (cbrt (+ h0 (+ (+ h1 h2) h3))) 3)) (cbrt (pow (sqrt (+ h0 (+ (+ h1 h2) h3))) 3)) (cbrt (pow (sqrt (+ h0 (+ (+ h1 h2) h3))) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3)) (cbrt (+ h0 (+ (+ h1 h2) h3))) (cbrt (* (+ h0 (+ (+ h1 h2) h3)) (+ h0 (+ (+ h1 h2) h3)))) (cbrt (sqrt (pow (+ h0 (+ (+ h1 h2) h3)) 3))) (cbrt (sqrt (pow (+ h0 (+ (+ h1 h2) h3)) 3))) (cbrt 1) (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3)) (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) (/ 3 2))) (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) (/ 3 2))) (cbrt (pow (+ (pow h0 3) (pow (+ (+ h1 h2) h3) 3)) 3)) (cbrt (pow (+ (* h0 h0) (- (* (+ (+ h1 h2) h3) (+ (+ h1 h2) h3)) (* h0 (+ (+ h1 h2) h3)))) 3)) (cbrt (pow (- (* h0 h0) (* (+ (+ h1 h2) h3) (+ (+ h1 h2) h3))) 3)) (cbrt (pow (- h0 (+ (+ h1 h2) h3)) 3)) (* (cbrt (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3))) (cbrt (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3)))) (cbrt (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3))) (* (* (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3)) (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3))) (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3))) (sqrt (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3))) (sqrt (cbrt (pow (+ h0 (+ (+ h1 h2) h3)) 3))) (+ h0 (+ h1 h2)) (+ h3 (+ h1 h2)) (+ h3 (+ h1 h2)) (+ h0 (+ h1 h2)) (+ h3 (+ h1 h2)) (- (+ (* (cbrt -1) h1) (+ (* (cbrt -1) h2) (* h3 (cbrt -1))))) 1.111 * * [simplify]: iteration 0 : 219 enodes (cost 293 ) 1.116 * * [simplify]: iteration 1 : 921 enodes (cost 289 ) 1.136 * * [simplify]: iteration 2 : 5002 enodes (cost 287 ) 1.139 * [simplify]: Simplified to: (expm1 (+ a (+ (+ b c) d))) (log1p (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (log (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (pow (+ a (+ (+ b c) d)) 3) (sqrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (+ (pow a 3) (pow (+ (+ b c) d) 3)) (fma (+ (+ b c) d) (- (+ (+ b c) d) a) (* a a)) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (- a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)) (+ a (+ b c)) (expm1 (+ a (+ (+ b c) d))) (log1p (+ a (+ (+ b c) d))) (log (+ a (+ (+ b c) d))) (exp (+ a (+ (+ b c) d))) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) 1 (+ a (+ (+ b c) d)) 1 (+ a (+ (+ b c) d)) 1 (+ a (+ (+ b c) d)) 1 (+ a (+ (+ b c) d)) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) 1 (+ a (+ (+ b c) d)) 1 (+ a (+ (+ b c) d)) 1 (+ a (+ (+ b c) d)) 1 (+ a (+ (+ b c) d)) (cbrt (+ a (+ (+ b c) d))) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (sqrt (pow (+ a (+ (+ b c) d)) 3))) (cbrt (sqrt (pow (+ a (+ (+ b c) d)) 3))) 1 (+ a (+ (+ b c) d)) (cbrt (pow (+ a (+ (+ b c) d)) 3/2)) (cbrt (pow (+ a (+ (+ b c) d)) 3/2)) (+ (pow a 3) (pow (+ (+ b c) d) 3)) (fma (+ (+ b c) d) (- (+ (+ b c) d) a) (* a a)) (- (* a a) (* (+ (+ b c) d) (+ (+ b c) d))) (- a (+ (+ b c) d)) (cbrt (* (+ a (+ (+ b c) d)) (+ a (+ (+ b c) d)))) (cbrt (+ a (+ (+ b c) d))) (pow (+ a (+ (+ b c) d)) 3) (sqrt (+ a (+ (+ b c) d))) (sqrt (+ a (+ (+ b c) d))) (+ a (+ b c)) (+ (+ b c) d) (+ (+ b c) d) (+ a (+ b c)) (+ (+ b c) d) (* (cbrt -1) (- (- b) (+ c d))) 1.139 * * * [progress]: adding candidates to table 1.245 * [progress]: [Phase 3 of 3] Extracting. 1.245 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # #) 1.250 * * * [regime-changes]: Trying 6 branch expressions: ((+ c d) (+ b (+ c d)) d c b a) 1.250 * * * * [regimes]: Trying to branch on (+ c d) from (# # # # # # # # # # # # # # # # #) 1.310 * * * * [regimes]: Trying to branch on (+ c d) from (# #) 1.335 * * * * [regimes]: Trying to branch on (+ b (+ c d)) from (# # # # # # # # # # # # # # # # #) 1.394 * * * * [regimes]: Trying to branch on (+ b (+ c d)) from (# #) 1.411 * * * * [regimes]: Trying to branch on d from (# # # # # # # # # # # # # # # # #) 1.470 * * * * [regimes]: Trying to branch on c from (# # # # # # # # # # # # # # # # #) 1.531 * * * * [regimes]: Trying to branch on b from (# # # # # # # # # # # # # # # # #) 1.589 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # # # # # #) 1.646 * * * [regime]: Found split indices: #