38.433 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.036 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying: (/ (+ x y) (+ y y)) 0.036 * * [simplify]: iteration 0: 5 enodes 0.038 * * [simplify]: iteration 1: 8 enodes 0.041 * * [simplify]: iteration 2: 11 enodes 0.043 * * [simplify]: iteration complete: 11 enodes 0.044 * * [simplify]: Extracting #0: cost 1 inf + 0 0.044 * * [simplify]: Extracting #1: cost 5 inf + 0 0.044 * * [simplify]: Extracting #2: cost 5 inf + 42 0.044 * * [simplify]: Extracting #3: cost 3 inf + 44 0.044 * * [simplify]: Extracting #4: cost 0 inf + 291 0.044 * [simplify]: Simplified to: (/ (+ y x) (+ y y)) 0.045 * * [progress]: iteration 1 / 4 0.045 * * * [progress]: picking best candidate 0.051 * * * * [pick]: Picked # 0.051 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.065 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.110 * * * [progress]: generating series expansions 0.111 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.111 * [backup-simplify]: Simplify (/ (+ x y) (+ y y)) into (* 1/2 (/ (+ x y) y)) 0.111 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.111 * [taylor]: Taking taylor expansion of 1/2 in y 0.111 * [backup-simplify]: Simplify 1/2 into 1/2 0.111 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.111 * [taylor]: Taking taylor expansion of (+ x y) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [backup-simplify]: Simplify x into x 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (+ x 0) into x 0.111 * [backup-simplify]: Simplify (/ x 1) into x 0.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.111 * [taylor]: Taking taylor expansion of 1/2 in x 0.111 * [backup-simplify]: Simplify 1/2 into 1/2 0.111 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.111 * [taylor]: Taking taylor expansion of (+ x y) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [backup-simplify]: Simplify y into y 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [backup-simplify]: Simplify y into y 0.112 * [backup-simplify]: Simplify (+ 0 y) into y 0.112 * [backup-simplify]: Simplify (/ y y) into 1 0.112 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.112 * [taylor]: Taking taylor expansion of 1/2 in x 0.112 * [backup-simplify]: Simplify 1/2 into 1/2 0.112 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.112 * [taylor]: Taking taylor expansion of (+ x y) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 1 into 1 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [backup-simplify]: Simplify y into y 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [backup-simplify]: Simplify y into y 0.112 * [backup-simplify]: Simplify (+ 0 y) into y 0.112 * [backup-simplify]: Simplify (/ y y) into 1 0.113 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.113 * [taylor]: Taking taylor expansion of 1/2 in y 0.113 * [backup-simplify]: Simplify 1/2 into 1/2 0.114 * [backup-simplify]: Simplify (+ 1 0) into 1 0.114 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.114 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y)) 0.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.114 * [taylor]: Taking taylor expansion of 1/2 in y 0.114 * [backup-simplify]: Simplify 1/2 into 1/2 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [backup-simplify]: Simplify (/ 1 1) into 1 0.115 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.116 * [backup-simplify]: Simplify 1/2 into 1/2 0.116 * [backup-simplify]: Simplify 1/2 into 1/2 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (+ 0 0) into 0 0.120 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 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 0.122 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.125 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 0.127 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 y))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 0.128 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.128 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.128 * [taylor]: Taking taylor expansion of 1/2 in y 0.128 * [backup-simplify]: Simplify 1/2 into 1/2 0.128 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.128 * [taylor]: Taking taylor expansion of x in y 0.128 * [backup-simplify]: Simplify x into x 0.128 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [taylor]: Taking taylor expansion of y in y 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.129 * [taylor]: Taking taylor expansion of 1/2 in x 0.129 * [backup-simplify]: Simplify 1/2 into 1/2 0.129 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [backup-simplify]: Simplify y into y 0.129 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [backup-simplify]: Simplify y into y 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 0.130 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [backup-simplify]: Simplify y into y 0.130 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.130 * [taylor]: Taking taylor expansion of y in x 0.130 * [backup-simplify]: Simplify y into y 0.131 * [backup-simplify]: Simplify (+ 1 0) into 1 0.131 * [backup-simplify]: Simplify (* 1 y) into y 0.131 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.131 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.131 * [taylor]: Taking taylor expansion of 1/2 in y 0.131 * [backup-simplify]: Simplify 1/2 into 1/2 0.131 * [taylor]: Taking taylor expansion of y in y 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.133 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.133 * [taylor]: Taking taylor expansion of 1/2 in y 0.133 * [backup-simplify]: Simplify 1/2 into 1/2 0.134 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1/2 into 1/2 0.137 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.137 * [backup-simplify]: Simplify 1/2 into 1/2 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.138 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 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 0 into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.143 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) 0.143 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.143 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in y 0.143 * [taylor]: Taking taylor expansion of 1/2 in y 0.143 * [backup-simplify]: Simplify 1/2 into 1/2 0.143 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in y 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.143 * [taylor]: Taking taylor expansion of x in y 0.143 * [backup-simplify]: Simplify x into x 0.143 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.144 * [taylor]: Taking taylor expansion of 1/2 in x 0.144 * [backup-simplify]: Simplify 1/2 into 1/2 0.144 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [backup-simplify]: Simplify y into y 0.144 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [backup-simplify]: Simplify y into y 0.144 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 x) (/ 1 y)) y)) in x 0.144 * [taylor]: Taking taylor expansion of 1/2 in x 0.144 * [backup-simplify]: Simplify 1/2 into 1/2 0.144 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) (/ 1 y)) y) in x 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (/ 1 1) into 1 0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [backup-simplify]: Simplify y into y 0.145 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [backup-simplify]: Simplify y into y 0.145 * [backup-simplify]: Simplify (+ 1 0) into 1 0.145 * [backup-simplify]: Simplify (* 1 y) into y 0.145 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.145 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.145 * [taylor]: Taking taylor expansion of 1/2 in y 0.145 * [backup-simplify]: Simplify 1/2 into 1/2 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.146 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.146 * [taylor]: Taking taylor expansion of 1/2 in y 0.146 * [backup-simplify]: Simplify 1/2 into 1/2 0.147 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.149 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1/2 into 1/2 0.149 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.149 * [backup-simplify]: Simplify 1/2 into 1/2 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.157 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.159 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.162 * * * [progress]: simplifying candidates 0.163 * [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) 0.166 * * [simplify]: iteration 0: 114 enodes 0.197 * * [simplify]: iteration 1: 239 enodes 0.268 * * [simplify]: iteration 2: 685 enodes 0.866 * * [simplify]: iteration 3: 2688 enodes 1.696 * * [simplify]: iteration complete: 5042 enodes 1.696 * * [simplify]: Extracting #0: cost 69 inf + 0 1.699 * * [simplify]: Extracting #1: cost 940 inf + 2 1.711 * * [simplify]: Extracting #2: cost 1512 inf + 2093 1.742 * * [simplify]: Extracting #3: cost 1173 inf + 73421 1.796 * * [simplify]: Extracting #4: cost 81 inf + 257154 1.907 * * [simplify]: Extracting #5: cost 0 inf + 273902 2.021 * [simplify]: Simplified to: (expm1 (/ (+ y x) (+ y y))) (log1p (/ (+ y x) (+ y y))) (log (/ (+ y x) (+ y y))) (log (/ (+ y x) (+ y y))) (exp (/ (+ y x) (+ y y))) (* (/ (+ y x) (+ y y)) (* (/ (+ y x) (+ y y)) (/ (+ y x) (+ y y)))) (* (cbrt (/ (+ y x) (+ y y))) (cbrt (/ (+ y x) (+ y y)))) (cbrt (/ (+ y x) (+ y y))) (* (/ (+ y x) (+ y y)) (* (/ (+ y x) (+ y y)) (/ (+ y x) (+ y y)))) (sqrt (/ (+ y x) (+ y y))) (sqrt (/ (+ y x) (+ y y))) (- (+ x y)) (* -2 y) (* (/ (cbrt (+ y x)) (cbrt (+ y y))) (/ (cbrt (+ y x)) (cbrt (+ y y)))) (/ (cbrt (+ y x)) (cbrt (+ y y))) (/ (cbrt (+ y x)) (/ (sqrt (+ y y)) (cbrt (+ y x)))) (/ (cbrt (+ y x)) (sqrt (+ y y))) (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (cbrt (+ y x)) (+ y y)) (* (/ (cbrt (+ y x)) (cbrt y)) (/ (cbrt (+ y x)) (cbrt y))) (/ (cbrt (+ y x)) (+ (cbrt y) (cbrt y))) (* (/ (cbrt (+ y x)) (sqrt y)) (cbrt (+ y x))) (/ (cbrt (+ y x)) (+ (sqrt y) (sqrt y))) (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (cbrt (+ y x)) (+ y y)) (* (/ (cbrt (+ y x)) (cbrt y)) (cbrt (+ y x))) (/ (/ (cbrt (+ y x)) (cbrt y)) (+ (cbrt y) (cbrt y))) (* (/ (cbrt (+ y x)) (sqrt y)) (cbrt (+ y x))) (/ (cbrt (+ y x)) (+ (sqrt y) (sqrt y))) (* (/ (cbrt (+ y x)) y) (cbrt (+ y x))) (/ (cbrt (+ y x)) 2) (* (/ (cbrt (+ y x)) 2) (cbrt (+ y x))) (/ (cbrt (+ y x)) y) (* (/ (cbrt (+ y x)) 2) (cbrt (+ y x))) (/ (cbrt (+ y x)) y) (* (/ (cbrt (+ y x)) 2) (cbrt (+ y x))) (/ (cbrt (+ y x)) y) (/ (sqrt (+ y x)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ y x)) (cbrt (+ y y))) (/ (sqrt (+ y x)) (sqrt (+ y y))) (/ (sqrt (+ y x)) (sqrt (+ y y))) (sqrt (+ y x)) (/ (sqrt (+ y x)) (+ y y)) (/ (sqrt (+ y x)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ y x)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ y x)) (sqrt y)) (/ (sqrt (+ y x)) (+ (sqrt y) (sqrt y))) (sqrt (+ y x)) (/ (sqrt (+ y x)) (+ y y)) (/ (sqrt (+ y x)) (cbrt y)) (/ (sqrt (+ y x)) (* (+ (cbrt y) (cbrt y)) (cbrt y))) (/ (sqrt (+ y x)) (sqrt y)) (/ (sqrt (+ y x)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ y x)) y) (/ (sqrt (+ y x)) 2) (/ (sqrt (+ y x)) 2) (/ (sqrt (+ y x)) y) (/ (sqrt (+ y x)) 2) (/ (sqrt (+ y x)) y) (/ (sqrt (+ y x)) 2) (/ (sqrt (+ y x)) y) (/ (/ 1 (cbrt (+ y y))) (cbrt (+ y y))) (/ (+ y x) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ y x) (sqrt (+ y y))) 1 (/ (+ y x) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ y x) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ y x) (+ (sqrt y) (sqrt y))) 1 (/ (+ y x) (+ y y)) (/ 1 (cbrt y)) (/ (/ (+ y x) (cbrt y)) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ y x) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ y x) 2) 1/2 (/ (+ y x) y) 1/2 (/ (+ y x) y) 1/2 (/ (+ y x) y) (/ (/ 1 (cbrt (+ y y))) (cbrt (+ y y))) (/ (+ y x) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ y x) (sqrt (+ y y))) 1 (/ (+ y x) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ y x) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ y x) (+ (sqrt y) (sqrt y))) 1 (/ (+ y x) (+ y y)) (/ 1 (cbrt y)) (/ (/ (+ y x) (cbrt y)) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ y x) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ y x) 2) 1/2 (/ (+ y x) y) 1/2 (/ (+ y x) y) 1/2 (/ (+ y x) y) (/ 1/2 y) (/ (+ y y) (+ y x)) (/ (+ y x) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ y x) (sqrt (+ y y))) (+ y x) (/ (+ y x) (* (cbrt y) (cbrt y))) (/ (+ y x) (sqrt y)) (+ y x) (/ (+ y x) (cbrt y)) (/ (+ y x) (sqrt y)) (/ (+ y x) y) (/ (+ y x) 2) (/ (+ y x) 2) (/ (+ y x) 2) (/ (+ y y) (cbrt (+ y x))) (/ (+ y y) (sqrt (+ y x))) (/ (+ y y) (+ y x)) (/ (+ y y) (+ y x)) (/ (+ y x) (* (* (+ y y) y) y)) (/ (+ y x) 0) (* (+ y y) (fma x x (* y (- y x)))) (* (+ y y) (- x y)) (fma (/ x y) 1/2 1/2) (fma (/ x y) 1/2 1/2) (fma (/ x y) 1/2 1/2) 2.028 * * * [progress]: adding candidates to table 2.410 * * [progress]: iteration 2 / 4 2.410 * * * [progress]: picking best candidate 2.416 * * * * [pick]: Picked # 2.416 * * * [progress]: localizing error 2.432 * * * [progress]: generating rewritten candidates 2.432 * * * [progress]: generating series expansions 2.432 * * * [progress]: simplifying candidates 2.432 * [simplify]: Simplifying: 2.432 * * [simplify]: iteration 0: 0 enodes 2.432 * * [simplify]: iteration complete: 0 enodes 2.432 * * [simplify]: Extracting #0: cost 0 inf + 0 2.432 * [simplify]: Simplified to: 2.432 * * * [progress]: adding candidates to table 2.433 * [progress]: [Phase 3 of 3] Extracting. 2.440 * [simplify]: Simplifying: (fma (/ x y) 1/2 1/2) 2.440 * * [simplify]: iteration 0: 5 enodes 2.440 * * [simplify]: iteration complete: 5 enodes 2.440 * * [simplify]: Extracting #0: cost 1 inf + 0 2.440 * * [simplify]: Extracting #1: cost 3 inf + 0 2.440 * * [simplify]: Extracting #2: cost 4 inf + 1 2.441 * * [simplify]: Extracting #3: cost 2 inf + 3 2.441 * * [simplify]: Extracting #4: cost 0 inf + 143 2.441 * [simplify]: Simplified to: (fma (/ x y) 1/2 1/2) 3.399 * [regime-testing]: Baseline error score: 0.01812726590823853 3.415 * [regime-testing]: Oracle error score: 0.01812726590823853 3.416 * [regime-testing]: End program error score: 0.01812726590823853 3.517 * [regime-testing]: Target error score: 0.01812726590823853