9.559 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.029 * * [simplify]: iteration 0 : 18 enodes (cost 5 ) 0.033 * * [simplify]: iteration 1 : 46 enodes (cost 4 ) 0.038 * * [simplify]: iteration 2 : 77 enodes (cost 4 ) 0.043 * * [simplify]: iteration 3 : 87 enodes (cost 3 ) 0.047 * * [simplify]: iteration 4 : 87 enodes (cost 3 ) 0.048 * [simplify]: Simplified to: (fma (fma y 2.0 x) x (* y y)) 0.051 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.053 * * * [progress]: localizing error 0.067 * * * [progress]: generating rewritten candidates 0.067 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.091 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.136 * * * [progress]: generating series expansions 0.136 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.136 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.136 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.136 * [taylor]: Taking taylor expansion of x in y 0.136 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.136 * [taylor]: Taking taylor expansion of 2.0 in y 0.136 * [taylor]: Taking taylor expansion of (* x y) in y 0.136 * [taylor]: Taking taylor expansion of x in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.136 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) 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 (* 2.0 (* x y)) in x 0.136 * [taylor]: Taking taylor expansion of 2.0 in x 0.136 * [taylor]: Taking taylor expansion of (* x y) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) 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 (* 2.0 (* x y)) in x 0.136 * [taylor]: Taking taylor expansion of 2.0 in x 0.136 * [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 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.139 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.139 * [taylor]: Taking taylor expansion of 2.0 in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of 1 in y 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.149 * [taylor]: Taking taylor expansion of x in y 0.149 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.149 * [taylor]: Taking taylor expansion of 2.0 in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.149 * [taylor]: Taking taylor expansion of (* x y) in y 0.149 * [taylor]: Taking taylor expansion of x in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.150 * [taylor]: Taking taylor expansion of 2.0 in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.150 * [taylor]: Taking taylor expansion of (* x y) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 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 0.151 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.151 * [taylor]: Taking taylor expansion of 2.0 in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.151 * [taylor]: Taking taylor expansion of (* x y) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of 1 in y 0.153 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.153 * [taylor]: Taking taylor expansion of 2.0 in y 0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.166 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.166 * [taylor]: Taking taylor expansion of 2.0 in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.166 * [taylor]: Taking taylor expansion of (* x y) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.167 * [taylor]: Taking taylor expansion of 2.0 in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.167 * [taylor]: Taking taylor expansion of (* x y) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [taylor]: Taking taylor expansion of y in x 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.168 * [taylor]: Taking taylor expansion of 2.0 in x 0.168 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.168 * [taylor]: Taking taylor expansion of (* x y) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.169 * [taylor]: Taking taylor expansion of 1 in y 0.170 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.170 * [taylor]: Taking taylor expansion of 2.0 in y 0.170 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.183 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.183 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.183 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.183 * [taylor]: Taking taylor expansion of x in y 0.183 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.183 * [taylor]: Taking taylor expansion of 2.0 in y 0.183 * [taylor]: Taking taylor expansion of (* x y) in y 0.183 * [taylor]: Taking taylor expansion of x in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.183 * [taylor]: Taking taylor expansion of 2.0 in x 0.183 * [taylor]: Taking taylor expansion of (* x y) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.183 * [taylor]: Taking taylor expansion of 2.0 in x 0.183 * [taylor]: Taking taylor expansion of (* x y) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.185 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.185 * [taylor]: Taking taylor expansion of 2.0 in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of 1 in y 0.190 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.190 * [taylor]: Taking taylor expansion of x in y 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.190 * [taylor]: Taking taylor expansion of y 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 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.192 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.192 * [taylor]: Taking taylor expansion of y 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 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 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 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.194 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.194 * [taylor]: Taking taylor expansion of 2.0 in x 0.194 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.194 * [taylor]: Taking taylor expansion of (* x y) in x 0.194 * [taylor]: Taking taylor expansion of x in x 0.194 * [taylor]: Taking taylor expansion of y in x 0.195 * [taylor]: Taking taylor expansion of 1 in y 0.196 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.196 * [taylor]: Taking taylor expansion of 2.0 in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.199 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.200 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.201 * [taylor]: Taking taylor expansion of 2.0 in y 0.201 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.201 * [taylor]: Taking taylor expansion of (* x y) in y 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.202 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.203 * [taylor]: Taking taylor expansion of 2.0 in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.203 * [taylor]: Taking taylor expansion of (* x y) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.204 * [taylor]: Taking taylor expansion of 2.0 in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.204 * [taylor]: Taking taylor expansion of (* x y) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of 1 in y 0.206 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.206 * [taylor]: Taking taylor expansion of 2.0 in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.210 * * * [progress]: simplifying candidates 0.211 * [simplify]: Simplifying using # : (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)) (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)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 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) (+ (pow y 2) (* 2.0 (* x y)))) 0.220 * * [simplify]: iteration 0 : 223 enodes (cost 357 ) 0.231 * * [simplify]: iteration 1 : 1060 enodes (cost 298 ) 0.276 * * [simplify]: iteration 2 : 5001 enodes (cost 257 ) 0.281 * [simplify]: Simplified to: (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))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (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) (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 3) (pow y 3) (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)) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (* 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)) 0.281 * * * [progress]: adding candidates to table 0.402 * * [progress]: iteration 2 / 4 0.402 * * * [progress]: picking best candidate 0.404 * * * * [pick]: Picked # 0.404 * * * [progress]: localizing error 0.412 * * * [progress]: generating rewritten candidates 0.412 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.416 * * * [progress]: generating series expansions 0.416 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.416 * [approximate]: Taking taylor expansion of (* (fma 2.0 x y) y) in (x y) around 0 0.417 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in y 0.417 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in y 0.417 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.417 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.417 * [taylor]: Taking taylor expansion of 2.0 in y 0.417 * [taylor]: Taking taylor expansion of x in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in x 0.417 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.417 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.417 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.417 * [taylor]: Taking taylor expansion of 2.0 in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in x 0.417 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.417 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.417 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.417 * [taylor]: Taking taylor expansion of 2.0 in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.420 * [taylor]: Taking taylor expansion of 2.0 in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [approximate]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in (x y) around 0 0.428 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in y 0.428 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in y 0.429 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.429 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.429 * [taylor]: Taking taylor expansion of 2.0 in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.429 * [taylor]: Taking taylor expansion of x in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.430 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in x 0.430 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.430 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.430 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.430 * [taylor]: Taking taylor expansion of 2.0 in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.430 * [taylor]: Taking taylor expansion of y in x 0.430 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in x 0.431 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.431 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.431 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.431 * [taylor]: Taking taylor expansion of 2.0 in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.433 * [taylor]: Taking taylor expansion of 2.0 in y 0.433 * [taylor]: Taking taylor expansion of y in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.440 * [taylor]: Taking taylor expansion of 0 in y 0.443 * [taylor]: Taking taylor expansion of 0 in y 0.445 * [approximate]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in (x y) around 0 0.445 * [taylor]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in y 0.445 * [taylor]: Taking taylor expansion of -1 in y 0.445 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in y 0.445 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in y 0.445 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.446 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.446 * [taylor]: Taking taylor expansion of 2.0 in y 0.446 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.446 * [taylor]: Taking taylor expansion of -1 in y 0.446 * [taylor]: Taking taylor expansion of x in y 0.446 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.446 * [taylor]: Taking taylor expansion of -1 in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.447 * [taylor]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in x 0.447 * [taylor]: Taking taylor expansion of -1 in x 0.447 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in x 0.447 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.447 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.447 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.447 * [taylor]: Taking taylor expansion of 2.0 in x 0.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.447 * [taylor]: Taking taylor expansion of -1 in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.448 * [taylor]: Taking taylor expansion of -1 in x 0.448 * [taylor]: Taking taylor expansion of y in x 0.448 * [taylor]: Taking taylor expansion of y in x 0.449 * [taylor]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in x 0.449 * [taylor]: Taking taylor expansion of -1 in x 0.449 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in x 0.449 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.449 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.449 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.449 * [taylor]: Taking taylor expansion of 2.0 in x 0.449 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.449 * [taylor]: Taking taylor expansion of -1 in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.449 * [taylor]: Taking taylor expansion of -1 in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.450 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.451 * [taylor]: Taking taylor expansion of 2.0 in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of 0 in y 0.460 * [taylor]: Taking taylor expansion of 0 in y 0.470 * [taylor]: Taking taylor expansion of 0 in y 0.472 * * * [progress]: simplifying candidates 0.472 * [simplify]: Simplifying using # : (expm1 (* (fma 2.0 x y) y)) (log1p (* (fma 2.0 x y) y)) (* (fma 2.0 x y) y) (+ (log (fma 2.0 x y)) (log y)) (log (* (fma 2.0 x y) y)) (exp (* (fma 2.0 x y) y)) (* (* (* (fma 2.0 x y) (fma 2.0 x y)) (fma 2.0 x y)) (* (* y y) y)) (* (cbrt (* (fma 2.0 x y) y)) (cbrt (* (fma 2.0 x y) y))) (cbrt (* (fma 2.0 x y) y)) (* (* (* (fma 2.0 x y) y) (* (fma 2.0 x y) y)) (* (fma 2.0 x y) y)) (sqrt (* (fma 2.0 x y) y)) (sqrt (* (fma 2.0 x y) y)) (* (sqrt (fma 2.0 x y)) (sqrt y)) (* (sqrt (fma 2.0 x y)) (sqrt y)) (* (fma 2.0 x y) (* (cbrt y) (cbrt y))) (* (fma 2.0 x y) (sqrt y)) (* (fma 2.0 x y) 1) (* (cbrt (fma 2.0 x y)) y) (* (sqrt (fma 2.0 x y)) y) (* (fma 2.0 x y) y) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) 0.478 * * [simplify]: iteration 0 : 78 enodes (cost 86 ) 0.483 * * [simplify]: iteration 1 : 270 enodes (cost 70 ) 0.498 * * [simplify]: iteration 2 : 1753 enodes (cost 70 ) 0.557 * * [simplify]: iteration 3 : 5002 enodes (cost 70 ) 0.559 * [simplify]: Simplified to: (expm1 (* (fma 2.0 x y) y)) (log1p (* (fma 2.0 x y) y)) (* (fma 2.0 x y) y) (log (* (fma 2.0 x y) y)) (log (* (fma 2.0 x y) y)) (exp (* (fma 2.0 x y) y)) (pow (* (fma 2.0 x y) y) 3) (* (cbrt (* (fma 2.0 x y) y)) (cbrt (* (fma 2.0 x y) y))) (cbrt (* (fma 2.0 x y) y)) (pow (* (fma 2.0 x y) y) 3) (sqrt (* (fma 2.0 x y) y)) (sqrt (* (fma 2.0 x y) y)) (* (sqrt (fma 2.0 x y)) (sqrt y)) (* (sqrt (fma 2.0 x y)) (sqrt y)) (* (fma 2.0 x y) (* (cbrt y) (cbrt y))) (* (fma 2.0 x y) (sqrt y)) (fma 2.0 x y) (* (cbrt (fma 2.0 x y)) y) (* (sqrt (fma 2.0 x y)) y) (* (fma 2.0 x y) y) (* (fma 2.0 x y) y) (* (fma 2.0 x y) y) (* (fma 2.0 x y) y) 0.560 * * * [progress]: adding candidates to table 0.591 * [progress]: [Phase 3 of 3] Extracting. 0.591 * * [regime]: Finding splitpoints for: (# #) 0.591 * * * [regime-changes]: Trying 3 branch expressions: ((+ (+ (* x x) (* (* x 2.0) y)) (* y y)) y x) 0.591 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) from (# #) 0.609 * * * * [regimes]: Trying to branch on y from (# #) 0.622 * * * * [regimes]: Trying to branch on x from (# #) 0.634 * * * [regime]: Found split indices: #