9.256 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.028 * * [simplify]: iteration 0 : 18 enodes (cost 5 ) 0.031 * * [simplify]: iteration 1 : 46 enodes (cost 4 ) 0.035 * * [simplify]: iteration 2 : 77 enodes (cost 4 ) 0.038 * * [simplify]: iteration 3 : 87 enodes (cost 3 ) 0.042 * * [simplify]: iteration 4 : 87 enodes (cost 3 ) 0.042 * [simplify]: Simplified to: (fma (fma y 2.0 x) x (* y y)) 0.045 * * [progress]: iteration 1 / 4 0.045 * * * [progress]: picking best candidate 0.049 * * * * [pick]: Picked # 0.049 * * * [progress]: localizing error 0.058 * * * [progress]: generating rewritten candidates 0.058 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.099 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.126 * * * [progress]: generating series expansions 0.126 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.126 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.126 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.126 * [taylor]: Taking taylor expansion of 2.0 in y 0.126 * [taylor]: Taking taylor expansion of (* x y) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.127 * [taylor]: Taking taylor expansion of 2.0 in x 0.127 * [taylor]: Taking taylor expansion of (* x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.127 * [taylor]: Taking taylor expansion of 2.0 in x 0.127 * [taylor]: Taking taylor expansion of (* x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.129 * [taylor]: Taking taylor expansion of 2.0 in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of 1 in y 0.134 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.135 * [taylor]: Taking taylor expansion of 2.0 in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.135 * [taylor]: Taking taylor expansion of (* x y) in y 0.135 * [taylor]: Taking taylor expansion of x in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.137 * [taylor]: Taking taylor expansion of 2.0 in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.137 * [taylor]: Taking taylor expansion of (* x y) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.138 * [taylor]: Taking taylor expansion of 2.0 in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.138 * [taylor]: Taking taylor expansion of (* x y) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.139 * [taylor]: Taking taylor expansion of 1 in y 0.140 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.140 * [taylor]: Taking taylor expansion of 2.0 in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.145 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.145 * [taylor]: Taking taylor expansion of x in y 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.146 * [taylor]: Taking taylor expansion of 2.0 in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.146 * [taylor]: Taking taylor expansion of (* x y) in y 0.146 * [taylor]: Taking taylor expansion of x in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.152 * [taylor]: Taking taylor expansion of 2.0 in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.152 * [taylor]: Taking taylor expansion of (* x y) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.154 * [taylor]: Taking taylor expansion of 2.0 in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.154 * [taylor]: Taking taylor expansion of (* x y) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of 1 in y 0.156 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.156 * [taylor]: Taking taylor expansion of 2.0 in y 0.156 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.160 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.160 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.160 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.160 * [taylor]: Taking taylor expansion of x in y 0.160 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.160 * [taylor]: Taking taylor expansion of 2.0 in y 0.160 * [taylor]: Taking taylor expansion of (* x y) in y 0.160 * [taylor]: Taking taylor expansion of x in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.161 * [taylor]: Taking taylor expansion of 2.0 in x 0.161 * [taylor]: Taking taylor expansion of (* x y) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.161 * [taylor]: Taking taylor expansion of 2.0 in x 0.161 * [taylor]: Taking taylor expansion of (* x y) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.162 * [taylor]: Taking taylor expansion of 0 in y 0.163 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.163 * [taylor]: Taking taylor expansion of 2.0 in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of 1 in y 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.172 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.173 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.173 * [taylor]: Taking taylor expansion of x in y 0.173 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.173 * [taylor]: Taking taylor expansion of 2.0 in y 0.173 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.173 * [taylor]: Taking taylor expansion of (* x y) in y 0.173 * [taylor]: Taking taylor expansion of x in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.175 * [taylor]: Taking taylor expansion of 2.0 in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.175 * [taylor]: Taking taylor expansion of (* x y) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of y in x 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.176 * [taylor]: Taking taylor expansion of 2.0 in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.176 * [taylor]: Taking taylor expansion of (* x y) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of 1 in y 0.178 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.178 * [taylor]: Taking taylor expansion of 2.0 in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.191 * [taylor]: Taking taylor expansion of x in y 0.191 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.191 * [taylor]: Taking taylor expansion of 2.0 in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.191 * [taylor]: Taking taylor expansion of (* x y) in y 0.191 * [taylor]: Taking taylor expansion of x in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.192 * [taylor]: Taking taylor expansion of 2.0 in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.192 * [taylor]: Taking taylor expansion of (* x y) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.193 * [taylor]: Taking taylor expansion of 2.0 in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.193 * [taylor]: Taking taylor expansion of (* x y) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of y in x 0.194 * [taylor]: Taking taylor expansion of 1 in y 0.195 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.195 * [taylor]: Taking taylor expansion of 2.0 in y 0.195 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.207 * * * [progress]: simplifying candidates 0.208 * [simplify]: Simplifying using # : (expm1 (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (log1p (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (exp (* x x)) (exp (* (* x 2.0) y))) (exp (* y y))) (* (exp (+ (* x x) (* (* x 2.0) y))) (exp (* y y))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y)))) (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y))) (- (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (* (* x 2.0) y) (* y y)) (+ (* x x) (* y y)) (expm1 (+ (* x x) (* (* x 2.0) y))) (log1p (+ (* x x) (* (* x 2.0) y))) (* (exp (* x x)) (exp (* (* x 2.0) y))) (log (+ (* x x) (* (* x 2.0) y))) (exp (+ (* x x) (* (* x 2.0) y))) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (* (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x x) (* (* x 2.0) y)))) (- (* (* x x) (* x x)) (* (* (* x 2.0) y) (* (* x 2.0) y))) (- (* x x) (* (* x 2.0) y)) (+ x (* 2.0 y)) (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y)) (+ x (* 2.0 y)) (+ (* (cbrt x) x) (* (* (cbrt x) 2.0) y)) (+ (* (sqrt x) x) (* (* (sqrt x) 2.0) y)) (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y)) (+ x (* 2.0 y)) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 0.215 * * [simplify]: iteration 0 : 232 enodes (cost 357 ) 0.224 * * [simplify]: iteration 1 : 1131 enodes (cost 298 ) 0.262 * * [simplify]: iteration 2 : 5001 enodes (cost 256 ) 0.265 * [simplify]: Simplified to: (expm1 (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (log1p (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (fma x (fma y 2.0 x) (pow y 2))) (exp (fma x (fma y 2.0 x) (pow y 2))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (fma x (fma y 2.0 x) (pow y 2))) (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (pow (fma x (fma y 2.0 x) (pow y 2)) 3) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (fma (* (pow y 4) y) y (pow (fma x x (* (* x 2.0) y)) 3)) (+ (pow y 4) (- (* (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x))) (* (* (* x (fma y 2.0 x)) y) y))) (* (fma x (fma y 2.0 x) (pow y 2)) (fma x (fma y 2.0 x) (- (pow y 2)))) (fma x (fma y 2.0 x) (- (pow y 2))) (fma x (fma y 2.0 x) (pow y 2)) (fma x (fma y 2.0 x) (pow y 2)) (fma x (fma y 2.0 x) (pow y 2)) (fma x (fma y 2.0 x) (pow y 2)) (fma x (fma y 2.0 x) (pow y 2)) (fma x (fma y 2.0 x) (pow y 2)) (fma x (fma y 2.0 x) (pow y 2)) (fma x (fma y 2.0 x) (pow y 2)) (fma x (fma y 2.0 x) (pow y 2)) (fma x (fma y 2.0 x) (pow y 2)) (fma x (fma y 2.0 x) (pow y 2)) (fma x (fma y 2.0 x) (pow y 2)) (fma x (fma y 2.0 x) (pow y 2)) (fma x (fma y 2.0 x) (pow y 2)) (* (fma 2.0 x y) y) (fma x x (* y y)) (expm1 (+ (* x x) (* (* x 2.0) y))) (log1p (+ (* x x) (* (* x 2.0) y))) (pow (exp x) (fma y 2.0 x)) (+ (log x) (log (fma y 2.0 x))) (pow (exp x) (fma y 2.0 x)) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (pow (* x (fma y 2.0 x)) 3) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (fma (pow x 3) (pow (* 2.0 y) 3) (pow x 6)) (fma x (* (* 2.0 y) (* x (- (* 2.0 y) x))) (pow x 4)) (* (* x (- x (* 2.0 y))) (* x (fma y 2.0 x))) (* x (- x (* 2.0 y))) (fma y 2.0 x) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (fma y 2.0 x) (* (cbrt x) (fma y 2.0 x)) (* (sqrt x) (fma y 2.0 x)) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (fma y 2.0 x) (fma x (fma y 2.0 x) (pow y 2)) (fma x (fma y 2.0 x) (pow y 2)) (fma x (fma y 2.0 x) (pow y 2)) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) 0.266 * * * [progress]: adding candidates to table 0.433 * * [progress]: iteration 2 / 4 0.433 * * * [progress]: picking best candidate 0.437 * * * * [pick]: Picked # 0.437 * * * [progress]: localizing error 0.444 * * * [progress]: generating rewritten candidates 0.444 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.462 * * * [progress]: generating series expansions 0.462 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.462 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (fma 2.0 x y) y)) in (x y) around 0 0.462 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (fma 2.0 x y) y)) in y 0.462 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in y 0.462 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in y 0.463 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.463 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.463 * [taylor]: Taking taylor expansion of 2.0 in y 0.463 * [taylor]: Taking taylor expansion of x in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.463 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (fma 2.0 x y) y)) in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in x 0.463 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.463 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.463 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.463 * [taylor]: Taking taylor expansion of 2.0 in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.463 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (fma 2.0 x y) y)) in x 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in x 0.463 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.463 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.463 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.463 * [taylor]: Taking taylor expansion of 2.0 in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.466 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.466 * [taylor]: Taking taylor expansion of 2.0 in y 0.466 * [taylor]: Taking taylor expansion of y in y 0.468 * [taylor]: Taking taylor expansion of 1 in y 0.470 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (fma 2.0 (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (fma 2.0 (/ 1 x) (/ 1 y)) y)) in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.471 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.471 * [taylor]: Taking taylor expansion of x in y 0.471 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in y 0.471 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in y 0.471 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.471 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.471 * [taylor]: Taking taylor expansion of 2.0 in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.471 * [taylor]: Taking taylor expansion of x in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.471 * [taylor]: Taking taylor expansion of y in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (fma 2.0 (/ 1 x) (/ 1 y)) y)) in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.472 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in x 0.476 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.477 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.477 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of 2.0 in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (fma 2.0 (/ 1 x) (/ 1 y)) y)) in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in x 0.479 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.479 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.479 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.479 * [taylor]: Taking taylor expansion of 2.0 in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of 1 in y 0.482 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.482 * [taylor]: Taking taylor expansion of 2.0 in y 0.482 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.486 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in (x y) around 0 0.487 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.487 * [taylor]: Taking taylor expansion of x in y 0.487 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in y 0.487 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in y 0.487 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.487 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.487 * [taylor]: Taking taylor expansion of 2.0 in y 0.487 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.487 * [taylor]: Taking taylor expansion of -1 in y 0.487 * [taylor]: Taking taylor expansion of x in y 0.487 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.487 * [taylor]: Taking taylor expansion of -1 in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.488 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in x 0.489 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.489 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.489 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.489 * [taylor]: Taking taylor expansion of 2.0 in x 0.489 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.489 * [taylor]: Taking taylor expansion of -1 in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.490 * [taylor]: Taking taylor expansion of -1 in x 0.490 * [taylor]: Taking taylor expansion of y in x 0.490 * [taylor]: Taking taylor expansion of y in x 0.491 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in x 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.491 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.491 * [taylor]: Taking taylor expansion of x in x 0.491 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in x 0.492 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.492 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.492 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.492 * [taylor]: Taking taylor expansion of 2.0 in x 0.492 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.492 * [taylor]: Taking taylor expansion of -1 in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.492 * [taylor]: Taking taylor expansion of -1 in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of 1 in y 0.495 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.495 * [taylor]: Taking taylor expansion of 2.0 in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.500 * * * [progress]: simplifying candidates 0.500 * [simplify]: Simplifying using # : (expm1 (+ (* x x) (* (fma 2.0 x y) y))) (log1p (+ (* x x) (* (fma 2.0 x y) y))) (* (exp (* x x)) (exp (* (fma 2.0 x y) y))) (log (+ (* x x) (* (fma 2.0 x y) y))) (exp (+ (* x x) (* (fma 2.0 x y) y))) (* (cbrt (+ (* x x) (* (fma 2.0 x y) y))) (cbrt (+ (* x x) (* (fma 2.0 x y) y)))) (cbrt (+ (* x x) (* (fma 2.0 x y) y))) (* (* (+ (* x x) (* (fma 2.0 x y) y)) (+ (* x x) (* (fma 2.0 x y) y))) (+ (* x x) (* (fma 2.0 x y) y))) (sqrt (+ (* x x) (* (fma 2.0 x y) y))) (sqrt (+ (* x x) (* (fma 2.0 x y) y))) (+ (pow (* x x) 3) (pow (* (fma 2.0 x y) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (fma 2.0 x y) y) (* (fma 2.0 x y) y)) (* (* x x) (* (fma 2.0 x y) y)))) (- (* (* x x) (* x x)) (* (* (fma 2.0 x y) y) (* (fma 2.0 x y) y))) (- (* x x) (* (fma 2.0 x y) y)) (+ (* x x) (* (fma 2.0 x y) y)) (+ (* x x) (* (fma 2.0 x y) y)) (+ (* x x) (* (fma 2.0 x y) y)) (+ (* x x) (* (fma 2.0 x y) y)) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.505 * * [simplify]: iteration 0 : 120 enodes (cost 123 ) 0.511 * * [simplify]: iteration 1 : 501 enodes (cost 104 ) 0.528 * * [simplify]: iteration 2 : 2393 enodes (cost 98 ) 0.595 * * [simplify]: iteration 3 : 5001 enodes (cost 98 ) 0.597 * [simplify]: Simplified to: (expm1 (+ (* x x) (* (fma 2.0 x y) y))) (log1p (+ (* x x) (* (fma 2.0 x y) y))) (exp (fma x x (* (fma 2.0 x y) y))) (log (+ (* x x) (* (fma 2.0 x y) y))) (exp (fma x x (* (fma 2.0 x y) y))) (* (cbrt (+ (* x x) (* (fma 2.0 x y) y))) (cbrt (+ (* x x) (* (fma 2.0 x y) y)))) (cbrt (+ (* x x) (* (fma 2.0 x y) y))) (pow (fma x x (* (fma 2.0 x y) y)) 3) (sqrt (+ (* x x) (* (fma 2.0 x y) y))) (sqrt (+ (* x x) (* (fma 2.0 x y) y))) (fma (pow y 3) (pow (fma 2.0 x y) 3) (pow x 6)) (fma (* (fma 2.0 x y) y) (- (* (fma 2.0 x y) y) (pow x 2)) (pow x 4)) (fma (- (* (fma 2.0 x y) (fma 2.0 x y))) (pow y 2) (pow x 4)) (- (* x x) (* (fma 2.0 x y) y)) (fma x x (* (fma 2.0 x y) y)) (fma x x (* (fma 2.0 x y) y)) (fma x x (* (fma 2.0 x y) y)) (fma x x (* (fma 2.0 x y) y)) (fma x x (* (fma 2.0 x y) y)) (fma x x (* (fma 2.0 x y) y)) (fma x x (* (fma 2.0 x y) y)) 0.597 * * * [progress]: adding candidates to table 0.680 * * [progress]: iteration 3 / 4 0.680 * * * [progress]: picking best candidate 0.682 * * * * [pick]: Picked # 0.682 * * * [progress]: localizing error 0.691 * * * [progress]: generating rewritten candidates 0.691 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.697 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.705 * * * [progress]: generating series expansions 0.705 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.705 * [approximate]: Taking taylor expansion of x in (x) around 0 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.706 * [approximate]: Taking taylor expansion of (/ 1 x) in (x) around 0 0.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.714 * [approximate]: Taking taylor expansion of (/ 1 x) in (x) around 0 0.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.718 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.719 * [approximate]: Taking taylor expansion of x in (x) around 0 0.719 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.719 * [approximate]: Taking taylor expansion of (/ 1 x) in (x) around 0 0.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.719 * [taylor]: Taking taylor expansion of x in x 0.723 * [approximate]: Taking taylor expansion of (/ 1 x) in (x) around 0 0.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.728 * * * [progress]: simplifying candidates 0.729 * [simplify]: Simplifying using # : (expm1 (sqrt (* x x))) (log1p (sqrt (* x x))) (log (sqrt (* x x))) (exp (sqrt (* x x))) (* (cbrt (sqrt (* x x))) (cbrt (sqrt (* x x)))) (cbrt (sqrt (* x x))) (* (* (sqrt (* x x)) (sqrt (* x x))) (sqrt (* x x))) (sqrt x) (sqrt x) (sqrt (* (cbrt (* x x)) (cbrt (* x x)))) (sqrt (cbrt (* x x))) (sqrt (sqrt (* x x))) (sqrt (sqrt (* x x))) (sqrt 1) (sqrt (* x x)) (sqrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (sqrt x) (sqrt x))) (sqrt (* (sqrt x) (sqrt x))) (sqrt (* 1 1)) (sqrt (* x x)) (sqrt (* (sqrt x) (sqrt x))) (sqrt (* (sqrt x) (sqrt x))) (sqrt (* x (* (cbrt x) (cbrt x)))) (sqrt (cbrt x)) (sqrt (* x (sqrt x))) (sqrt (sqrt x)) (sqrt (* x 1)) (sqrt x) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) x)) (sqrt (sqrt x)) (sqrt (* (sqrt x) x)) (sqrt 1) (sqrt (* x x)) (sqrt x) (sqrt x) (/ (+ 1 1) 2) (/ 1 2) (/ 2 2) (/ (+ 1 1) 2) (/ 1 2) (/ (* 2 1) 2) (sqrt (sqrt (* x x))) (sqrt (sqrt (* x x))) (expm1 (sqrt (* x x))) (log1p (sqrt (* x x))) (log (sqrt (* x x))) (exp (sqrt (* x x))) (* (cbrt (sqrt (* x x))) (cbrt (sqrt (* x x)))) (cbrt (sqrt (* x x))) (* (* (sqrt (* x x)) (sqrt (* x x))) (sqrt (* x x))) (sqrt x) (sqrt x) (sqrt (* (cbrt (* x x)) (cbrt (* x x)))) (sqrt (cbrt (* x x))) (sqrt (sqrt (* x x))) (sqrt (sqrt (* x x))) (sqrt 1) (sqrt (* x x)) (sqrt (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x)))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (sqrt x) (sqrt x))) (sqrt (* (sqrt x) (sqrt x))) (sqrt (* 1 1)) (sqrt (* x x)) (sqrt (* (sqrt x) (sqrt x))) (sqrt (* (sqrt x) (sqrt x))) (sqrt (* x (* (cbrt x) (cbrt x)))) (sqrt (cbrt x)) (sqrt (* x (sqrt x))) (sqrt (sqrt x)) (sqrt (* x 1)) (sqrt x) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) x)) (sqrt (sqrt x)) (sqrt (* (sqrt x) x)) (sqrt 1) (sqrt (* x x)) (sqrt x) (sqrt x) (/ (+ 1 1) 2) (/ 1 2) (/ 2 2) (/ (+ 1 1) 2) (/ 1 2) (/ (* 2 1) 2) (sqrt (sqrt (* x x))) (sqrt (sqrt (* x x))) x x (* -1 x) x x (* -1 x) 0.734 * * [simplify]: iteration 0 : 72 enodes (cost 170 ) 0.738 * * [simplify]: iteration 1 : 190 enodes (cost 168 ) 0.746 * * [simplify]: iteration 2 : 826 enodes (cost 164 ) 0.785 * * [simplify]: iteration 3 : 5001 enodes (cost 164 ) 0.787 * [simplify]: Simplified to: (expm1 (sqrt (* x x))) (log1p (sqrt (* x x))) (log (sqrt (* x x))) (exp (sqrt (* x x))) (* (cbrt (sqrt (* x x))) (cbrt (sqrt (* x x)))) (cbrt (sqrt (* x x))) (pow (fabs x) 3) (sqrt x) (sqrt x) (fabs (cbrt (* x x))) (sqrt (cbrt (* x x))) (sqrt (sqrt (* x x))) (sqrt (sqrt (* x x))) 1 (fabs x) (sqrt (* (cbrt x) x)) (fabs (cbrt x)) (sqrt x) (sqrt x) 1 (fabs x) (sqrt x) (sqrt x) (fabs (* (sqrt x) (cbrt x))) (sqrt (cbrt x)) (sqrt (* (sqrt x) x)) (sqrt (sqrt x)) (sqrt x) (sqrt x) (fabs (cbrt x)) (sqrt (* (cbrt x) x)) (sqrt (sqrt x)) (sqrt (* (sqrt x) x)) 1 (fabs x) (sqrt x) (sqrt x) 1 1/2 1 1 1/2 1 (sqrt (sqrt (* x x))) (sqrt (sqrt (* x x))) (expm1 (sqrt (* x x))) (log1p (sqrt (* x x))) (log (sqrt (* x x))) (exp (sqrt (* x x))) (* (cbrt (sqrt (* x x))) (cbrt (sqrt (* x x)))) (cbrt (sqrt (* x x))) (pow (fabs x) 3) (sqrt x) (sqrt x) (fabs (cbrt (* x x))) (sqrt (cbrt (* x x))) (sqrt (sqrt (* x x))) (sqrt (sqrt (* x x))) 1 (fabs x) (sqrt (* (cbrt x) x)) (fabs (cbrt x)) (sqrt x) (sqrt x) 1 (fabs x) (sqrt x) (sqrt x) (fabs (* (sqrt x) (cbrt x))) (sqrt (cbrt x)) (sqrt (* (sqrt x) x)) (sqrt (sqrt x)) (sqrt x) (sqrt x) (fabs (cbrt x)) (sqrt (* (cbrt x) x)) (sqrt (sqrt x)) (sqrt (* (sqrt x) x)) 1 (fabs x) (sqrt x) (sqrt x) 1 1/2 1 1 1/2 1 (sqrt (sqrt (* x x))) (sqrt (sqrt (* x x))) x x (* -1 x) x x (* -1 x) 0.787 * * * [progress]: adding candidates to table 0.971 * [progress]: [Phase 3 of 3] Extracting. 0.974 * [simplify]: Simplifying using # : (fma (sqrt (* x x)) (sqrt (* x x)) (* (fma 2.0 x y) y)) 0.975 * * [simplify]: iteration 0 : 9 enodes (cost 7 ) 0.976 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.976 * [simplify]: Simplified to: (fma (sqrt (* x x)) (sqrt (* x x)) (* (fma 2.0 x y) y)) 1.682 * [regime-testing]: End program error score: 0.007324035817067278 1.702 * [regime-testing]: Target error score: 0.013610496902060683