7.666 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying: (/ (+ x y) (+ y y)) 0.032 * * [simplify]: iteration 0: 5 enodes 0.034 * * [simplify]: iteration 1: 8 enodes 0.036 * * [simplify]: iteration 2: 11 enodes 0.039 * * [simplify]: iteration 3: 13 enodes 0.042 * * [simplify]: iteration complete: 13 enodes 0.042 * * [simplify]: Extracting #0: cost 1 inf + 0 0.042 * * [simplify]: Extracting #1: cost 7 inf + 0 0.042 * * [simplify]: Extracting #2: cost 5 inf + 43 0.042 * * [simplify]: Extracting #3: cost 4 inf + 44 0.042 * * [simplify]: Extracting #4: cost 0 inf + 373 0.042 * [simplify]: Simplified to: (/ (+ y x) (+ y y)) 0.044 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.066 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.117 * * * [progress]: generating series expansions 0.117 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.117 * [backup-simplify]: Simplify (/ (+ x y) (+ y y)) into (* 1/2 (/ (+ x y) y)) 0.117 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.117 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.118 * [taylor]: Taking taylor expansion of 1/2 in y 0.118 * [backup-simplify]: Simplify 1/2 into 1/2 0.118 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.118 * [taylor]: Taking taylor expansion of (+ x y) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [backup-simplify]: Simplify x into x 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (+ x 0) into x 0.118 * [backup-simplify]: Simplify (/ x 1) into x 0.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.118 * [taylor]: Taking taylor expansion of 1/2 in x 0.118 * [backup-simplify]: Simplify 1/2 into 1/2 0.118 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.118 * [taylor]: Taking taylor expansion of (+ x y) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [backup-simplify]: Simplify y into y 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [backup-simplify]: Simplify y into y 0.118 * [backup-simplify]: Simplify (+ 0 y) into y 0.118 * [backup-simplify]: Simplify (/ y y) into 1 0.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.118 * [taylor]: Taking taylor expansion of 1/2 in x 0.118 * [backup-simplify]: Simplify 1/2 into 1/2 0.118 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.118 * [taylor]: Taking taylor expansion of (+ x y) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 1 into 1 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [backup-simplify]: Simplify y into y 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [backup-simplify]: Simplify y into y 0.118 * [backup-simplify]: Simplify (+ 0 y) into y 0.118 * [backup-simplify]: Simplify (/ y y) into 1 0.119 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.119 * [taylor]: Taking taylor expansion of 1/2 in y 0.119 * [backup-simplify]: Simplify 1/2 into 1/2 0.120 * [backup-simplify]: Simplify (+ 1 0) into 1 0.120 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.120 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y)) 0.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.120 * [taylor]: Taking taylor expansion of 1/2 in y 0.120 * [backup-simplify]: Simplify 1/2 into 1/2 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.121 * [backup-simplify]: Simplify 1/2 into 1/2 0.121 * [backup-simplify]: Simplify 1/2 into 1/2 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 0.129 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 y))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 0.129 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.129 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.129 * [taylor]: Taking taylor expansion of 1/2 in y 0.129 * [backup-simplify]: Simplify 1/2 into 1/2 0.129 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.130 * [taylor]: Taking taylor expansion of x in y 0.130 * [backup-simplify]: Simplify x into x 0.130 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (/ 1 1) into 1 0.130 * [taylor]: Taking taylor expansion of y in y 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.130 * [taylor]: Taking taylor expansion of 1/2 in x 0.130 * [backup-simplify]: Simplify 1/2 into 1/2 0.130 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (/ 1 1) into 1 0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [backup-simplify]: Simplify y into y 0.131 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [backup-simplify]: Simplify y into y 0.131 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.131 * [taylor]: Taking taylor expansion of 1/2 in x 0.131 * [backup-simplify]: Simplify 1/2 into 1/2 0.131 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (/ 1 1) into 1 0.131 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [backup-simplify]: Simplify y into y 0.131 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.131 * [taylor]: Taking taylor expansion of y in x 0.131 * [backup-simplify]: Simplify y into y 0.132 * [backup-simplify]: Simplify (+ 1 0) into 1 0.132 * [backup-simplify]: Simplify (* 1 y) into y 0.132 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.132 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.132 * [taylor]: Taking taylor expansion of 1/2 in y 0.132 * [backup-simplify]: Simplify 1/2 into 1/2 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.134 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.134 * [taylor]: Taking taylor expansion of 1/2 in y 0.134 * [backup-simplify]: Simplify 1/2 into 1/2 0.135 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1/2 into 1/2 0.140 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.140 * [backup-simplify]: Simplify 1/2 into 1/2 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.145 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.150 * [taylor]: Taking taylor expansion of 0 in y 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.151 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 0.151 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.151 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.151 * [taylor]: Taking taylor expansion of 1/2 in y 0.151 * [backup-simplify]: Simplify 1/2 into 1/2 0.151 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.151 * [taylor]: Taking taylor expansion of x in y 0.151 * [backup-simplify]: Simplify x into x 0.151 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.152 * [taylor]: Taking taylor expansion of 1/2 in x 0.152 * [backup-simplify]: Simplify 1/2 into 1/2 0.152 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [backup-simplify]: Simplify y into y 0.153 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [backup-simplify]: Simplify y into y 0.153 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.153 * [taylor]: Taking taylor expansion of 1/2 in x 0.153 * [backup-simplify]: Simplify 1/2 into 1/2 0.153 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [backup-simplify]: Simplify y into y 0.154 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [backup-simplify]: Simplify y into y 0.154 * [backup-simplify]: Simplify (+ 1 0) into 1 0.154 * [backup-simplify]: Simplify (* 1 y) into y 0.154 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.154 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.154 * [taylor]: Taking taylor expansion of 1/2 in y 0.154 * [backup-simplify]: Simplify 1/2 into 1/2 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.156 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.156 * [taylor]: Taking taylor expansion of 1/2 in y 0.156 * [backup-simplify]: Simplify 1/2 into 1/2 0.157 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1/2 into 1/2 0.161 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.161 * [backup-simplify]: Simplify 1/2 into 1/2 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.170 * [taylor]: Taking taylor expansion of 0 in y 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.171 * * * [progress]: simplifying candidates 0.173 * [simplify]: Simplifying: (expm1 (/ (+ x y) (+ y y))) (log1p (/ (+ x y) (+ y y))) (- (log (+ x y)) (log (+ y y))) (log (/ (+ x y) (+ y y))) (exp (/ (+ x y) (+ y y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ y y) (+ y y)) (+ y y))) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (- (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt y)) (/ (cbrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) (+ 1 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (+ y y)) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (/ (+ x y) 1) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (/ (+ x y) 1) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) (+ 1 1)) (/ (+ x y) (+ 1 1)) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow y 3))) (/ (+ x y) (- (* y y) (* y y))) (* (+ y y) (+ (* x x) (- (* y y) (* x y)))) (* (+ y y) (- x y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 0.175 * * [simplify]: iteration 0: 114 enodes 0.218 * * [simplify]: iteration 1: 241 enodes 0.329 * * [simplify]: iteration 2: 790 enodes 0.917 * * [simplify]: iteration complete: 5000 enodes 0.917 * * [simplify]: Extracting #0: cost 69 inf + 0 0.919 * * [simplify]: Extracting #1: cost 623 inf + 2 0.926 * * [simplify]: Extracting #2: cost 1422 inf + 381 0.947 * * [simplify]: Extracting #3: cost 1401 inf + 56829 1.000 * * [simplify]: Extracting #4: cost 184 inf + 240881 1.078 * * [simplify]: Extracting #5: cost 3 inf + 273724 1.142 * * [simplify]: Extracting #6: cost 0 inf + 274229 1.194 * [simplify]: Simplified to: (expm1 (/ (+ x y) (+ y y))) (log1p (/ (+ x y) (+ y y))) (log (/ (+ x y) (+ y y))) (log (/ (+ x y) (+ y y))) (exp (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (- x) y) (* -2 y) (* (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (cbrt (+ x y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (cbrt (+ x y)) (/ (sqrt (+ y y)) (cbrt (+ x y)))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (* (/ (cbrt (+ x y)) (cbrt y)) (/ (cbrt (+ x y)) (cbrt y))) (/ (cbrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (/ (sqrt y) (cbrt (+ x y)))) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (* (/ (cbrt (+ x y)) (cbrt y)) (cbrt (+ x y))) (/ (/ (cbrt (+ x y)) (cbrt y)) (+ (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (/ (sqrt y) (cbrt (+ x y)))) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (cbrt (+ x y)) (/ y (cbrt (+ x y)))) (/ (cbrt (+ x y)) 2) (/ (cbrt (+ x y)) (/ 2 (cbrt (+ x y)))) (/ (cbrt (+ x y)) y) (/ (cbrt (+ x y)) (/ 2 (cbrt (+ x y)))) (/ (cbrt (+ x y)) y) (/ (cbrt (+ x y)) (/ 2 (cbrt (+ x y)))) (/ (cbrt (+ x y)) y) (/ (/ (sqrt (+ x y)) (cbrt (+ y y))) (cbrt (+ y y))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (* (+ (cbrt y) (cbrt y)) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (/ 1 (cbrt (+ y y))) (cbrt (+ y y))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (/ (+ x y) (cbrt y)) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ (/ 1 (cbrt (+ y y))) (cbrt (+ y y))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (/ (+ x y) (cbrt y)) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1/2 y) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (+ x y) (/ (/ (+ x y) (cbrt y)) (cbrt y)) (/ (+ x y) (sqrt y)) (+ x y) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (+ x y) (* (* y (+ y y)) y)) (/ (+ x y) 0) (* (+ y y) (fma x x (* (- y x) y))) (* (- x y) (+ y y)) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) 1.198 * * * [progress]: adding candidates to table 1.529 * * [progress]: iteration 2 / 4 1.529 * * * [progress]: picking best candidate 1.536 * * * * [pick]: Picked # 1.536 * * * [progress]: localizing error 1.550 * * * [progress]: generating rewritten candidates 1.550 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.551 * * * [progress]: generating series expansions 1.551 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.551 * [backup-simplify]: Simplify (fma 1/2 (/ x y) 1/2) into (fma 1/2 (/ x y) 1/2) 1.551 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in (x y) around 0 1.551 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in y 1.552 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 1.552 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 1.552 * [taylor]: Taking taylor expansion of 1/2 in y 1.552 * [backup-simplify]: Simplify 1/2 into 1/2 1.552 * [taylor]: Taking taylor expansion of (/ x y) in y 1.552 * [taylor]: Taking taylor expansion of x in y 1.552 * [backup-simplify]: Simplify x into x 1.552 * [taylor]: Taking taylor expansion of y in y 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 1 into 1 1.552 * [backup-simplify]: Simplify (/ x 1) into x 1.552 * [taylor]: Taking taylor expansion of 1/2 in y 1.552 * [backup-simplify]: Simplify 1/2 into 1/2 1.552 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in x 1.552 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 1.552 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.552 * [taylor]: Taking taylor expansion of 1/2 in x 1.552 * [backup-simplify]: Simplify 1/2 into 1/2 1.552 * [taylor]: Taking taylor expansion of (/ x y) in x 1.552 * [taylor]: Taking taylor expansion of x in x 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 1 into 1 1.552 * [taylor]: Taking taylor expansion of y in x 1.552 * [backup-simplify]: Simplify y into y 1.552 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.552 * [taylor]: Taking taylor expansion of 1/2 in x 1.552 * [backup-simplify]: Simplify 1/2 into 1/2 1.552 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in x 1.553 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 1.553 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 1.553 * [taylor]: Taking taylor expansion of 1/2 in x 1.553 * [backup-simplify]: Simplify 1/2 into 1/2 1.553 * [taylor]: Taking taylor expansion of (/ x y) in x 1.553 * [taylor]: Taking taylor expansion of x in x 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 1 into 1 1.553 * [taylor]: Taking taylor expansion of y in x 1.553 * [backup-simplify]: Simplify y into y 1.553 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.553 * [taylor]: Taking taylor expansion of 1/2 in x 1.553 * [backup-simplify]: Simplify 1/2 into 1/2 1.555 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.555 * [taylor]: Taking taylor expansion of 1/2 in y 1.555 * [backup-simplify]: Simplify 1/2 into 1/2 1.555 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 1.555 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 1.555 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 1.555 * [taylor]: Taking taylor expansion of 1/2 in y 1.555 * [backup-simplify]: Simplify 1/2 into 1/2 1.555 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.555 * [taylor]: Taking taylor expansion of y in y 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify 1 into 1 1.556 * [backup-simplify]: Simplify (/ 1 1) into 1 1.556 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.557 * [backup-simplify]: Simplify 1/2 into 1/2 1.557 * [backup-simplify]: Simplify 1/2 into 1/2 1.557 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 1.557 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 1.558 * [backup-simplify]: Simplify (+ 0 0) into 0 1.558 * [taylor]: Taking taylor expansion of 0 in y 1.558 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.560 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.561 * [backup-simplify]: Simplify (+ 0 0) into 0 1.561 * [taylor]: Taking taylor expansion of 0 in y 1.561 * [backup-simplify]: Simplify 0 into 0 1.561 * [backup-simplify]: Simplify 0 into 0 1.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.563 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.565 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 1.565 * [backup-simplify]: Simplify (+ 0 0) into 0 1.565 * [taylor]: Taking taylor expansion of 0 in y 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 1.565 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 x) (/ 1 y)) 1/2) into (fma 1/2 (/ y x) 1/2) 1.566 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in (x y) around 0 1.566 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in y 1.566 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 1.566 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.566 * [taylor]: Taking taylor expansion of 1/2 in y 1.566 * [backup-simplify]: Simplify 1/2 into 1/2 1.566 * [taylor]: Taking taylor expansion of (/ y x) in y 1.566 * [taylor]: Taking taylor expansion of y in y 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [taylor]: Taking taylor expansion of x in y 1.566 * [backup-simplify]: Simplify x into x 1.566 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.566 * [taylor]: Taking taylor expansion of 1/2 in y 1.566 * [backup-simplify]: Simplify 1/2 into 1/2 1.566 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 1.566 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 1.566 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.566 * [taylor]: Taking taylor expansion of 1/2 in x 1.566 * [backup-simplify]: Simplify 1/2 into 1/2 1.566 * [taylor]: Taking taylor expansion of (/ y x) in x 1.566 * [taylor]: Taking taylor expansion of y in x 1.566 * [backup-simplify]: Simplify y into y 1.566 * [taylor]: Taking taylor expansion of x in x 1.566 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 1 into 1 1.567 * [backup-simplify]: Simplify (/ y 1) into y 1.567 * [taylor]: Taking taylor expansion of 1/2 in x 1.567 * [backup-simplify]: Simplify 1/2 into 1/2 1.567 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 1.567 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 1.567 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.567 * [taylor]: Taking taylor expansion of 1/2 in x 1.567 * [backup-simplify]: Simplify 1/2 into 1/2 1.567 * [taylor]: Taking taylor expansion of (/ y x) in x 1.567 * [taylor]: Taking taylor expansion of y in x 1.567 * [backup-simplify]: Simplify y into y 1.567 * [taylor]: Taking taylor expansion of x in x 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 1 into 1 1.567 * [backup-simplify]: Simplify (/ y 1) into y 1.567 * [taylor]: Taking taylor expansion of 1/2 in x 1.567 * [backup-simplify]: Simplify 1/2 into 1/2 1.567 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 1.567 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y) 1.567 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 1.567 * [taylor]: Taking taylor expansion of 1/2 in y 1.567 * [backup-simplify]: Simplify 1/2 into 1/2 1.567 * [taylor]: Taking taylor expansion of y in y 1.567 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify 1 into 1 1.568 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.568 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 1.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 1.570 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.570 * [taylor]: Taking taylor expansion of 1/2 in y 1.570 * [backup-simplify]: Simplify 1/2 into 1/2 1.570 * [backup-simplify]: Simplify 1/2 into 1/2 1.571 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.571 * [backup-simplify]: Simplify 1/2 into 1/2 1.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.573 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 1.574 * [backup-simplify]: Simplify (+ 0 0) into 0 1.574 * [taylor]: Taking taylor expansion of 0 in y 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.575 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.578 * [backup-simplify]: Simplify (+ 0 0) into 0 1.578 * [taylor]: Taking taylor expansion of 0 in y 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 1.579 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 (- x)) (/ 1 (- y))) 1/2) into (fma 1/2 (/ y x) 1/2) 1.579 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in (x y) around 0 1.579 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in y 1.579 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 1.579 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 1.579 * [taylor]: Taking taylor expansion of 1/2 in y 1.579 * [backup-simplify]: Simplify 1/2 into 1/2 1.579 * [taylor]: Taking taylor expansion of (/ y x) in y 1.579 * [taylor]: Taking taylor expansion of y in y 1.579 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 1 into 1 1.580 * [taylor]: Taking taylor expansion of x in y 1.580 * [backup-simplify]: Simplify x into x 1.580 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.580 * [taylor]: Taking taylor expansion of 1/2 in y 1.580 * [backup-simplify]: Simplify 1/2 into 1/2 1.580 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 1.580 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 1.580 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.580 * [taylor]: Taking taylor expansion of 1/2 in x 1.580 * [backup-simplify]: Simplify 1/2 into 1/2 1.580 * [taylor]: Taking taylor expansion of (/ y x) in x 1.580 * [taylor]: Taking taylor expansion of y in x 1.580 * [backup-simplify]: Simplify y into y 1.580 * [taylor]: Taking taylor expansion of x in x 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 1 into 1 1.580 * [backup-simplify]: Simplify (/ y 1) into y 1.580 * [taylor]: Taking taylor expansion of 1/2 in x 1.580 * [backup-simplify]: Simplify 1/2 into 1/2 1.580 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 1.580 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 1.580 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 1.580 * [taylor]: Taking taylor expansion of 1/2 in x 1.580 * [backup-simplify]: Simplify 1/2 into 1/2 1.580 * [taylor]: Taking taylor expansion of (/ y x) in x 1.581 * [taylor]: Taking taylor expansion of y in x 1.581 * [backup-simplify]: Simplify y into y 1.581 * [taylor]: Taking taylor expansion of x in x 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 1 into 1 1.581 * [backup-simplify]: Simplify (/ y 1) into y 1.581 * [taylor]: Taking taylor expansion of 1/2 in x 1.581 * [backup-simplify]: Simplify 1/2 into 1/2 1.581 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 1.581 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y) 1.581 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 1.581 * [taylor]: Taking taylor expansion of 1/2 in y 1.581 * [backup-simplify]: Simplify 1/2 into 1/2 1.581 * [taylor]: Taking taylor expansion of y in y 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 1 into 1 1.582 * [backup-simplify]: Simplify (* 1/2 0) into 0 1.582 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 1.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 1.584 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.584 * [taylor]: Taking taylor expansion of 1/2 in y 1.584 * [backup-simplify]: Simplify 1/2 into 1/2 1.584 * [backup-simplify]: Simplify 1/2 into 1/2 1.585 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1.585 * [backup-simplify]: Simplify 1/2 into 1/2 1.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 1.587 * [backup-simplify]: Simplify (+ 0 0) into 0 1.587 * [taylor]: Taking taylor expansion of 0 in y 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1.588 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.592 * [backup-simplify]: Simplify (+ 0 0) into 0 1.592 * [taylor]: Taking taylor expansion of 0 in y 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 1.592 * * * [progress]: simplifying candidates 1.593 * [simplify]: Simplifying: (expm1 (fma 1/2 (/ x y) 1/2)) (log1p (fma 1/2 (/ x y) 1/2)) (* 1/2 (/ x y)) (log (fma 1/2 (/ x y) 1/2)) (exp (fma 1/2 (/ x y) 1/2)) (* (cbrt (fma 1/2 (/ x y) 1/2)) (cbrt (fma 1/2 (/ x y) 1/2))) (cbrt (fma 1/2 (/ x y) 1/2)) (* (* (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2)) (fma 1/2 (/ x y) 1/2)) (sqrt (fma 1/2 (/ x y) 1/2)) (sqrt (fma 1/2 (/ x y) 1/2)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 1.593 * * [simplify]: iteration 0: 16 enodes 1.597 * * [simplify]: iteration 1: 24 enodes 1.606 * * [simplify]: iteration 2: 81 enodes 1.644 * * [simplify]: iteration 3: 361 enodes 2.565 * * [simplify]: iteration 4: 2128 enodes 4.833 * * [simplify]: iteration complete: 5000 enodes 4.833 * * [simplify]: Extracting #0: cost 10 inf + 0 4.834 * * [simplify]: Extracting #1: cost 156 inf + 0 4.843 * * [simplify]: Extracting #2: cost 369 inf + 810 4.861 * * [simplify]: Extracting #3: cost 111 inf + 43213 4.887 * * [simplify]: Extracting #4: cost 4 inf + 59933 4.927 * * [simplify]: Extracting #5: cost 2 inf + 59711 4.980 * * [simplify]: Extracting #6: cost 1 inf + 59794 5.032 * * [simplify]: Extracting #7: cost 0 inf + 60158 5.069 * [simplify]: Simplified to: (expm1 (fma (/ x y) 1/2 1/2)) (log1p (fma (/ x y) 1/2 1/2)) (* (/ x y) 1/2) (log (fma (/ x y) 1/2 1/2)) (exp (fma (/ x y) 1/2 1/2)) (* (cbrt (fma (/ x y) 1/2 1/2)) (cbrt (fma (/ x y) 1/2 1/2))) (cbrt (fma (/ x y) 1/2 1/2)) (* (fma (/ x y) 1/2 1/2) (* (fma (/ x y) 1/2 1/2) (fma (/ x y) 1/2 1/2))) (sqrt (fma (/ x y) 1/2 1/2)) (sqrt (fma (/ x y) 1/2 1/2)) (fma (/ x y) 1/2 1/2) (fma (/ x y) 1/2 1/2) (fma (/ x y) 1/2 1/2) 5.070 * * * [progress]: adding candidates to table 5.166 * * [progress]: iteration 3 / 4 5.166 * * * [progress]: picking best candidate 5.173 * * * * [pick]: Picked # 5.173 * * * [progress]: localizing error 5.188 * * * [progress]: generating rewritten candidates 5.188 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 5.237 * * * [progress]: generating series expansions 5.237 * * * * [progress]: [ 1 / 1 ] generating series at (2) 5.237 * [backup-simplify]: Simplify (* (/ 1 y) (/ (+ x y) 2)) into (* 1/2 (/ (+ x y) y)) 5.237 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (y x) around 0 5.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 5.237 * [taylor]: Taking taylor expansion of 1/2 in x 5.237 * [backup-simplify]: Simplify 1/2 into 1/2 5.237 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 5.237 * [taylor]: Taking taylor expansion of (+ x y) in x 5.237 * [taylor]: Taking taylor expansion of x in x 5.237 * [backup-simplify]: Simplify 0 into 0 5.237 * [backup-simplify]: Simplify 1 into 1 5.237 * [taylor]: Taking taylor expansion of y in x 5.237 * [backup-simplify]: Simplify y into y 5.237 * [taylor]: Taking taylor expansion of y in x 5.237 * [backup-simplify]: Simplify y into y 5.237 * [backup-simplify]: Simplify (+ 0 y) into y 5.237 * [backup-simplify]: Simplify (/ y y) into 1 5.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 5.237 * [taylor]: Taking taylor expansion of 1/2 in y 5.237 * [backup-simplify]: Simplify 1/2 into 1/2 5.237 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 5.237 * [taylor]: Taking taylor expansion of (+ x y) in y 5.237 * [taylor]: Taking taylor expansion of x in y 5.237 * [backup-simplify]: Simplify x into x 5.237 * [taylor]: Taking taylor expansion of y in y 5.237 * [backup-simplify]: Simplify 0 into 0 5.237 * [backup-simplify]: Simplify 1 into 1 5.237 * [taylor]: Taking taylor expansion of y in y 5.238 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify 1 into 1 5.238 * [backup-simplify]: Simplify (+ x 0) into x 5.238 * [backup-simplify]: Simplify (/ x 1) into x 5.238 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 5.238 * [taylor]: Taking taylor expansion of 1/2 in y 5.238 * [backup-simplify]: Simplify 1/2 into 1/2 5.238 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 5.238 * [taylor]: Taking taylor expansion of (+ x y) in y 5.238 * [taylor]: Taking taylor expansion of x in y 5.238 * [backup-simplify]: Simplify x into x 5.238 * [taylor]: Taking taylor expansion of y in y 5.238 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify 1 into 1 5.238 * [taylor]: Taking taylor expansion of y in y 5.238 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify 1 into 1 5.238 * [backup-simplify]: Simplify (+ x 0) into x 5.238 * [backup-simplify]: Simplify (/ x 1) into x 5.238 * [backup-simplify]: Simplify (* 1/2 x) into (* 1/2 x) 5.238 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 5.238 * [taylor]: Taking taylor expansion of 1/2 in x 5.238 * [backup-simplify]: Simplify 1/2 into 1/2 5.238 * [taylor]: Taking taylor expansion of x in x 5.238 * [backup-simplify]: Simplify 0 into 0 5.238 * [backup-simplify]: Simplify 1 into 1 5.239 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.239 * [backup-simplify]: Simplify 0 into 0 5.239 * [backup-simplify]: Simplify (+ 0 1) into 1 5.240 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* x (/ 0 1)))) into 1 5.240 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 x)) into 1/2 5.240 * [taylor]: Taking taylor expansion of 1/2 in x 5.240 * [backup-simplify]: Simplify 1/2 into 1/2 5.240 * [backup-simplify]: Simplify 1/2 into 1/2 5.241 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.241 * [backup-simplify]: Simplify 1/2 into 1/2 5.241 * [backup-simplify]: Simplify (+ 0 0) into 0 5.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 1 (/ 0 1)))) into 0 5.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 x))) into 0 5.243 * [taylor]: Taking taylor expansion of 0 in x 5.243 * [backup-simplify]: Simplify 0 into 0 5.243 * [backup-simplify]: Simplify 0 into 0 5.243 * [backup-simplify]: Simplify 0 into 0 5.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 5.244 * [backup-simplify]: Simplify 0 into 0 5.244 * [backup-simplify]: Simplify (+ 0 0) into 0 5.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 x)))) into 0 5.246 * [taylor]: Taking taylor expansion of 0 in x 5.246 * [backup-simplify]: Simplify 0 into 0 5.246 * [backup-simplify]: Simplify 0 into 0 5.246 * [backup-simplify]: Simplify 0 into 0 5.246 * [backup-simplify]: Simplify 0 into 0 5.246 * [backup-simplify]: Simplify (+ (* 1/2 (* x (/ 1 y))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 5.247 * [backup-simplify]: Simplify (* (/ 1 (/ 1 y)) (/ (+ (/ 1 x) (/ 1 y)) 2)) into (* 1/2 (* y (+ (/ 1 x) (/ 1 y)))) 5.247 * [approximate]: Taking taylor expansion of (* 1/2 (* y (+ (/ 1 x) (/ 1 y)))) in (y x) around 0 5.247 * [taylor]: Taking taylor expansion of (* 1/2 (* y (+ (/ 1 x) (/ 1 y)))) in x 5.247 * [taylor]: Taking taylor expansion of 1/2 in x 5.247 * [backup-simplify]: Simplify 1/2 into 1/2 5.247 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 x) (/ 1 y))) in x 5.247 * [taylor]: Taking taylor expansion of y in x 5.247 * [backup-simplify]: Simplify y into y 5.247 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.247 * [taylor]: Taking taylor expansion of x in x 5.247 * [backup-simplify]: Simplify 0 into 0 5.247 * [backup-simplify]: Simplify 1 into 1 5.247 * [backup-simplify]: Simplify (/ 1 1) into 1 5.247 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.247 * [taylor]: Taking taylor expansion of y in x 5.247 * [backup-simplify]: Simplify y into y 5.247 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.247 * [taylor]: Taking taylor expansion of (* 1/2 (* y (+ (/ 1 x) (/ 1 y)))) in y 5.247 * [taylor]: Taking taylor expansion of 1/2 in y 5.247 * [backup-simplify]: Simplify 1/2 into 1/2 5.247 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 x) (/ 1 y))) in y 5.247 * [taylor]: Taking taylor expansion of y in y 5.247 * [backup-simplify]: Simplify 0 into 0 5.247 * [backup-simplify]: Simplify 1 into 1 5.247 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 5.247 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.247 * [taylor]: Taking taylor expansion of x in y 5.247 * [backup-simplify]: Simplify x into x 5.247 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.247 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.247 * [taylor]: Taking taylor expansion of y in y 5.247 * [backup-simplify]: Simplify 0 into 0 5.247 * [backup-simplify]: Simplify 1 into 1 5.248 * [backup-simplify]: Simplify (/ 1 1) into 1 5.248 * [taylor]: Taking taylor expansion of (* 1/2 (* y (+ (/ 1 x) (/ 1 y)))) in y 5.248 * [taylor]: Taking taylor expansion of 1/2 in y 5.248 * [backup-simplify]: Simplify 1/2 into 1/2 5.248 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 x) (/ 1 y))) in y 5.248 * [taylor]: Taking taylor expansion of y in y 5.248 * [backup-simplify]: Simplify 0 into 0 5.248 * [backup-simplify]: Simplify 1 into 1 5.248 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 5.248 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.248 * [taylor]: Taking taylor expansion of x in y 5.248 * [backup-simplify]: Simplify x into x 5.248 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.248 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.248 * [taylor]: Taking taylor expansion of y in y 5.248 * [backup-simplify]: Simplify 0 into 0 5.248 * [backup-simplify]: Simplify 1 into 1 5.248 * [backup-simplify]: Simplify (/ 1 1) into 1 5.249 * [backup-simplify]: Simplify (+ 0 1) into 1 5.249 * [backup-simplify]: Simplify (* 0 1) into 0 5.249 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.249 * [taylor]: Taking taylor expansion of 0 in x 5.249 * [backup-simplify]: Simplify 0 into 0 5.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.250 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 5.250 * [backup-simplify]: Simplify (+ (* 0 (/ 1 x)) (* 1 1)) into 1 5.251 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.251 * [taylor]: Taking taylor expansion of 1/2 in x 5.251 * [backup-simplify]: Simplify 1/2 into 1/2 5.251 * [backup-simplify]: Simplify 0 into 0 5.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.252 * [backup-simplify]: Simplify (+ 0 0) into 0 5.252 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 x)) (* 0 1))) into (/ 1 x) 5.253 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 x)) (+ (* 0 1) (* 0 0))) into (* 1/2 (/ 1 x)) 5.253 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 5.253 * [taylor]: Taking taylor expansion of 1/2 in x 5.253 * [backup-simplify]: Simplify 1/2 into 1/2 5.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.253 * [taylor]: Taking taylor expansion of x in x 5.253 * [backup-simplify]: Simplify 0 into 0 5.253 * [backup-simplify]: Simplify 1 into 1 5.253 * [backup-simplify]: Simplify (/ 1 1) into 1 5.253 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.253 * [backup-simplify]: Simplify 1/2 into 1/2 5.253 * [backup-simplify]: Simplify 1/2 into 1/2 5.253 * [backup-simplify]: Simplify 0 into 0 5.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.254 * [backup-simplify]: Simplify (+ 0 0) into 0 5.255 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 x)) (* 0 1)))) into 0 5.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 x)) (+ (* 0 1) (* 0 0)))) into 0 5.256 * [taylor]: Taking taylor expansion of 0 in x 5.256 * [backup-simplify]: Simplify 0 into 0 5.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.257 * [backup-simplify]: Simplify 0 into 0 5.257 * [backup-simplify]: Simplify 0 into 0 5.257 * [backup-simplify]: Simplify 0 into 0 5.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.258 * [backup-simplify]: Simplify (+ 0 0) into 0 5.259 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (* 0 1))))) into 0 5.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (+ (* 0 1) (* 0 0))))) into 0 5.260 * [taylor]: Taking taylor expansion of 0 in x 5.260 * [backup-simplify]: Simplify 0 into 0 5.260 * [backup-simplify]: Simplify 0 into 0 5.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.261 * [backup-simplify]: Simplify 0 into 0 5.262 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 (/ 1 x)) (/ 1 y)))) into (+ (* 1/2 (/ x y)) 1/2) 5.262 * [backup-simplify]: Simplify (* (/ 1 (/ 1 (- y))) (/ (+ (/ 1 (- x)) (/ 1 (- y))) 2)) into (* 1/2 (* y (+ (/ 1 x) (/ 1 y)))) 5.262 * [approximate]: Taking taylor expansion of (* 1/2 (* y (+ (/ 1 x) (/ 1 y)))) in (y x) around 0 5.262 * [taylor]: Taking taylor expansion of (* 1/2 (* y (+ (/ 1 x) (/ 1 y)))) in x 5.262 * [taylor]: Taking taylor expansion of 1/2 in x 5.262 * [backup-simplify]: Simplify 1/2 into 1/2 5.262 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 x) (/ 1 y))) in x 5.262 * [taylor]: Taking taylor expansion of y in x 5.262 * [backup-simplify]: Simplify y into y 5.262 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 5.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.262 * [taylor]: Taking taylor expansion of x in x 5.262 * [backup-simplify]: Simplify 0 into 0 5.262 * [backup-simplify]: Simplify 1 into 1 5.262 * [backup-simplify]: Simplify (/ 1 1) into 1 5.262 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.262 * [taylor]: Taking taylor expansion of y in x 5.262 * [backup-simplify]: Simplify y into y 5.262 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.262 * [taylor]: Taking taylor expansion of (* 1/2 (* y (+ (/ 1 x) (/ 1 y)))) in y 5.262 * [taylor]: Taking taylor expansion of 1/2 in y 5.262 * [backup-simplify]: Simplify 1/2 into 1/2 5.262 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 x) (/ 1 y))) in y 5.263 * [taylor]: Taking taylor expansion of y in y 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify 1 into 1 5.263 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 5.263 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.263 * [taylor]: Taking taylor expansion of x in y 5.263 * [backup-simplify]: Simplify x into x 5.263 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.263 * [taylor]: Taking taylor expansion of y in y 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify 1 into 1 5.263 * [backup-simplify]: Simplify (/ 1 1) into 1 5.263 * [taylor]: Taking taylor expansion of (* 1/2 (* y (+ (/ 1 x) (/ 1 y)))) in y 5.263 * [taylor]: Taking taylor expansion of 1/2 in y 5.263 * [backup-simplify]: Simplify 1/2 into 1/2 5.263 * [taylor]: Taking taylor expansion of (* y (+ (/ 1 x) (/ 1 y))) in y 5.263 * [taylor]: Taking taylor expansion of y in y 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify 1 into 1 5.263 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 5.263 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.263 * [taylor]: Taking taylor expansion of x in y 5.263 * [backup-simplify]: Simplify x into x 5.263 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 5.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.263 * [taylor]: Taking taylor expansion of y in y 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify 1 into 1 5.263 * [backup-simplify]: Simplify (/ 1 1) into 1 5.264 * [backup-simplify]: Simplify (+ 0 1) into 1 5.264 * [backup-simplify]: Simplify (* 0 1) into 0 5.264 * [backup-simplify]: Simplify (* 1/2 0) into 0 5.264 * [taylor]: Taking taylor expansion of 0 in x 5.265 * [backup-simplify]: Simplify 0 into 0 5.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.265 * [backup-simplify]: Simplify (+ (/ 1 x) 0) into (/ 1 x) 5.265 * [backup-simplify]: Simplify (+ (* 0 (/ 1 x)) (* 1 1)) into 1 5.266 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 5.266 * [taylor]: Taking taylor expansion of 1/2 in x 5.266 * [backup-simplify]: Simplify 1/2 into 1/2 5.266 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 5.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.267 * [backup-simplify]: Simplify (+ 0 0) into 0 5.267 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 x)) (* 0 1))) into (/ 1 x) 5.268 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 x)) (+ (* 0 1) (* 0 0))) into (* 1/2 (/ 1 x)) 5.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 x)) in x 5.268 * [taylor]: Taking taylor expansion of 1/2 in x 5.268 * [backup-simplify]: Simplify 1/2 into 1/2 5.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.268 * [taylor]: Taking taylor expansion of x in x 5.268 * [backup-simplify]: Simplify 0 into 0 5.268 * [backup-simplify]: Simplify 1 into 1 5.268 * [backup-simplify]: Simplify (/ 1 1) into 1 5.269 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 5.269 * [backup-simplify]: Simplify 1/2 into 1/2 5.269 * [backup-simplify]: Simplify 1/2 into 1/2 5.269 * [backup-simplify]: Simplify 0 into 0 5.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.270 * [backup-simplify]: Simplify (+ 0 0) into 0 5.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 x)) (* 0 1)))) into 0 5.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 x)) (+ (* 0 1) (* 0 0)))) into 0 5.271 * [taylor]: Taking taylor expansion of 0 in x 5.271 * [backup-simplify]: Simplify 0 into 0 5.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.272 * [backup-simplify]: Simplify 0 into 0 5.272 * [backup-simplify]: Simplify 0 into 0 5.272 * [backup-simplify]: Simplify 0 into 0 5.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 5.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.273 * [backup-simplify]: Simplify (+ 0 0) into 0 5.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (* 0 1))))) into 0 5.275 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 x)) (+ (* 0 1) (* 0 0))))) into 0 5.275 * [taylor]: Taking taylor expansion of 0 in x 5.275 * [backup-simplify]: Simplify 0 into 0 5.275 * [backup-simplify]: Simplify 0 into 0 5.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.277 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.277 * [backup-simplify]: Simplify 0 into 0 5.277 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 (/ 1 (- x))) (/ 1 (- y))))) into (+ (* 1/2 (/ x y)) 1/2) 5.277 * * * [progress]: simplifying candidates 5.278 * [simplify]: Simplifying: (expm1 (* (/ 1 y) (/ (+ x y) 2))) (log1p (* (/ 1 y) (/ (+ x y) 2))) (* (/ 1 y) (/ (+ x y) 2)) (+ (- (log y)) (- (log (+ x y)) (log 2))) (+ (- (log y)) (log (/ (+ x y) 2))) (+ (- 0 (log y)) (- (log (+ x y)) (log 2))) (+ (- 0 (log y)) (log (/ (+ x y) 2))) (+ (- (log 1) (log y)) (- (log (+ x y)) (log 2))) (+ (- (log 1) (log y)) (log (/ (+ x y) 2))) (+ (log (/ 1 y)) (- (log (+ x y)) (log 2))) (+ (log (/ 1 y)) (log (/ (+ x y) 2))) (log (* (/ 1 y) (/ (+ x y) 2))) (exp (* (/ 1 y) (/ (+ x y) 2))) (* (/ (* (* 1 1) 1) (* (* y y) y)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* 2 2) 2))) (* (/ (* (* 1 1) 1) (* (* y y) y)) (* (* (/ (+ x y) 2) (/ (+ x y) 2)) (/ (+ x y) 2))) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* 2 2) 2))) (* (* (* (/ 1 y) (/ 1 y)) (/ 1 y)) (* (* (/ (+ x y) 2) (/ (+ x y) 2)) (/ (+ x y) 2))) (* (cbrt (* (/ 1 y) (/ (+ x y) 2))) (cbrt (* (/ 1 y) (/ (+ x y) 2)))) (cbrt (* (/ 1 y) (/ (+ x y) 2))) (* (* (* (/ 1 y) (/ (+ x y) 2)) (* (/ 1 y) (/ (+ x y) 2))) (* (/ 1 y) (/ (+ x y) 2))) (sqrt (* (/ 1 y) (/ (+ x y) 2))) (sqrt (* (/ 1 y) (/ (+ x y) 2))) (* 1 (+ x y)) (* y 2) (* (sqrt (/ 1 y)) (sqrt (/ (+ x y) 2))) (* (sqrt (/ 1 y)) (sqrt (/ (+ x y) 2))) (* (sqrt (/ 1 y)) (/ (sqrt (+ x y)) (sqrt 2))) (* (sqrt (/ 1 y)) (/ (sqrt (+ x y)) (sqrt 2))) (* (/ (sqrt 1) (sqrt y)) (sqrt (/ (+ x y) 2))) (* (/ (sqrt 1) (sqrt y)) (sqrt (/ (+ x y) 2))) (* (/ (sqrt 1) (sqrt y)) (/ (sqrt (+ x y)) (sqrt 2))) (* (/ (sqrt 1) (sqrt y)) (/ (sqrt (+ x y)) (sqrt 2))) (* (/ 1 (sqrt y)) (sqrt (/ (+ x y) 2))) (* (/ 1 (sqrt y)) (sqrt (/ (+ x y) 2))) (* (/ 1 (sqrt y)) (/ (sqrt (+ x y)) (sqrt 2))) (* (/ 1 (sqrt y)) (/ (sqrt (+ x y)) (sqrt 2))) (* (/ 1 y) (* (cbrt (/ (+ x y) 2)) (cbrt (/ (+ x y) 2)))) (* (/ 1 y) (sqrt (/ (+ x y) 2))) (* (/ 1 y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt 2) (cbrt 2)))) (* (/ 1 y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt 2))) (* (/ 1 y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (* (/ 1 y) (/ (sqrt (+ x y)) (* (cbrt 2) (cbrt 2)))) (* (/ 1 y) (/ (sqrt (+ x y)) (sqrt 2))) (* (/ 1 y) (/ (sqrt (+ x y)) 1)) (* (/ 1 y) (/ 1 (* (cbrt 2) (cbrt 2)))) (* (/ 1 y) (/ 1 (sqrt 2))) (* (/ 1 y) (/ 1 1)) (* (/ 1 y) (/ 1 (* (cbrt 2) (cbrt 2)))) (* (/ 1 y) (/ 1 (sqrt 2))) (* (/ 1 y) (/ 1 1)) (* (/ 1 y) 1) (* (/ 1 y) (+ x y)) (* (cbrt (/ 1 y)) (/ (+ x y) 2)) (* (sqrt (/ 1 y)) (/ (+ x y) 2)) (* (/ (cbrt 1) (cbrt y)) (/ (+ x y) 2)) (* (/ (cbrt 1) (sqrt y)) (/ (+ x y) 2)) (* (/ (cbrt 1) y) (/ (+ x y) 2)) (* (/ (sqrt 1) (cbrt y)) (/ (+ x y) 2)) (* (/ (sqrt 1) (sqrt y)) (/ (+ x y) 2)) (* (/ (sqrt 1) y) (/ (+ x y) 2)) (* (/ 1 (cbrt y)) (/ (+ x y) 2)) (* (/ 1 (sqrt y)) (/ (+ x y) 2)) (* (/ 1 y) (/ (+ x y) 2)) (* (/ 1 y) (/ (+ x y) 2)) (* (/ 1 y) (/ (+ x y) 2)) (* (/ 1 y) (+ x y)) (* 1 (/ (+ x y) 2)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 5.279 * * [simplify]: iteration 0: 122 enodes 5.311 * * [simplify]: iteration 1: 397 enodes 5.681 * * [simplify]: iteration 2: 3003 enodes 6.692 * * [simplify]: iteration complete: 5000 enodes 6.692 * * [simplify]: Extracting #0: cost 36 inf + 0 6.694 * * [simplify]: Extracting #1: cost 901 inf + 0 6.700 * * [simplify]: Extracting #2: cost 1903 inf + 3842 6.720 * * [simplify]: Extracting #3: cost 1476 inf + 64151 6.759 * * [simplify]: Extracting #4: cost 539 inf + 223143 6.848 * * [simplify]: Extracting #5: cost 23 inf + 326870 6.930 * * [simplify]: Extracting #6: cost 0 inf + 333393 7.003 * * [simplify]: Extracting #7: cost 0 inf + 333113 7.084 * [simplify]: Simplified to: (expm1 (/ (/ (+ y x) y) 2)) (log1p (/ (/ (+ y x) y) 2)) (/ (/ (+ y x) y) 2) (log (/ (/ (+ y x) y) 2)) (log (/ (/ (+ y x) y) 2)) (log (/ (/ (+ y x) y) 2)) (log (/ (/ (+ y x) y) 2)) (log (/ (/ (+ y x) y) 2)) (log (/ (/ (+ y x) y) 2)) (log (/ (/ (+ y x) y) 2)) (log (/ (/ (+ y x) y) 2)) (log (/ (/ (+ y x) y) 2)) (sqrt (exp (/ (+ y x) y))) (* (/ (/ (* (+ y x) (+ y x)) 8) y) (/ (+ y x) (* y y))) (/ (* (* (/ (+ y x) 2) (/ (+ y x) 2)) (/ (+ y x) 2)) (* y (* y y))) (/ (* (* (+ y x) (+ y x)) (* (/ (/ 1 y) y) (/ 1 y))) (/ 8 (+ y x))) (* (* (/ (/ (+ y x) y) 2) (/ (/ (+ y x) y) 2)) (/ (/ (+ y x) y) 2)) (* (cbrt (/ (/ (+ y x) y) 2)) (cbrt (/ (/ (+ y x) y) 2))) (cbrt (/ (/ (+ y x) y) 2)) (* (* (/ (/ (+ y x) y) 2) (/ (/ (+ y x) y) 2)) (/ (/ (+ y x) y) 2)) (sqrt (/ (/ (+ y x) y) 2)) (sqrt (/ (/ (+ y x) y) 2)) (+ y x) (* 2 y) (* (sqrt (/ (+ y x) 2)) (sqrt (/ 1 y))) (* (sqrt (/ (+ y x) 2)) (sqrt (/ 1 y))) (* (sqrt (/ 1 y)) (/ (sqrt (+ y x)) (sqrt 2))) (* (sqrt (/ 1 y)) (/ (sqrt (+ y x)) (sqrt 2))) (/ (sqrt (/ (+ y x) 2)) (sqrt y)) (/ (sqrt (/ (+ y x) 2)) (sqrt y)) (/ (/ (sqrt (+ y x)) (sqrt 2)) (sqrt y)) (/ (/ (sqrt (+ y x)) (sqrt 2)) (sqrt y)) (/ (sqrt (/ (+ y x) 2)) (sqrt y)) (/ (sqrt (/ (+ y x) 2)) (sqrt y)) (/ (/ (sqrt (+ y x)) (sqrt 2)) (sqrt y)) (/ (/ (sqrt (+ y x)) (sqrt 2)) (sqrt y)) (/ (* (cbrt (/ (+ y x) 2)) (cbrt (/ (+ y x) 2))) y) (/ (sqrt (/ (+ y x) 2)) y) (/ (* (/ (cbrt (+ y x)) (cbrt 2)) (/ (cbrt (+ y x)) (cbrt 2))) y) (/ (/ (* (cbrt (+ y x)) (cbrt (+ y x))) y) (sqrt 2)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) y) (/ (/ (/ (sqrt (+ y x)) (cbrt 2)) (cbrt 2)) y) (/ (/ (sqrt (+ y x)) y) (sqrt 2)) (/ (sqrt (+ y x)) y) (/ (/ (/ 1 y) (cbrt 2)) (cbrt 2)) (/ (/ 1 y) (sqrt 2)) (/ 1 y) (/ (/ (/ 1 y) (cbrt 2)) (cbrt 2)) (/ (/ 1 y) (sqrt 2)) (/ 1 y) (/ 1 y) (/ (+ y x) y) (* (cbrt (/ 1 y)) (/ (+ y x) 2)) (* (sqrt (/ 1 y)) (/ (+ y x) 2)) (/ (/ (+ y x) 2) (cbrt y)) (/ (/ (+ y x) 2) (sqrt y)) (/ (/ (+ y x) y) 2) (/ (/ (+ y x) 2) (cbrt y)) (/ (/ (+ y x) 2) (sqrt y)) (/ (/ (+ y x) y) 2) (/ (/ (+ y x) 2) (cbrt y)) (/ (/ (+ y x) 2) (sqrt y)) (/ (/ (+ y x) y) 2) (/ (/ (+ y x) y) 2) (/ (/ (+ y x) y) 2) (/ (+ y x) y) (/ (+ y x) 2) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) 7.087 * * * [progress]: adding candidates to table 7.330 * [progress]: [Phase 3 of 3] Extracting. 7.330 * * [regime]: Finding splitpoints for: (# #) 7.330 * * * [regime-changes]: Trying 2 branch expressions: (y x) 7.330 * * * * [regimes]: Trying to branch on y from (# #) 7.374 * * * * [regimes]: Trying to branch on x from (# #) 7.422 * * * [regime]: Found split indices: #