3.223 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.019 * [simplify]: Simplifying using # : (+ (* x x) (* y y)) 0.021 * * [simplify]: iteration 0 : 7 enodes (cost 2 ) 0.022 * * [simplify]: iteration 1 : 8 enodes (cost 2 ) 0.024 * * [simplify]: iteration 2 : 8 enodes (cost 2 ) 0.024 * [simplify]: Simplified to: (fma x x (* y y)) 0.026 * * [progress]: iteration 1 / 4 0.026 * * * [progress]: picking best candidate 0.027 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.032 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.032 * * * [progress]: generating series expansions 0.032 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.032 * [approximate]: Taking taylor expansion of (fma x x (pow y 2)) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 0.032 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.032 * [taylor]: Taking taylor expansion of (* x x) in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of x in y 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.033 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.033 * [taylor]: Taking taylor expansion of (* x x) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.033 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.033 * [taylor]: Taking taylor expansion of (* x x) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.033 * [taylor]: Taking taylor expansion of y in x 0.033 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.034 * [taylor]: Taking taylor expansion of 0 in y 0.035 * [taylor]: Taking taylor expansion of 1 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.039 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 0.039 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.039 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.040 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.040 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.040 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.041 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.041 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of 1 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.052 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in (x y) around 0 0.052 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 0.052 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.052 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.052 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.052 * [taylor]: Taking taylor expansion of -1 in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.052 * [taylor]: Taking taylor expansion of -1 in y 0.052 * [taylor]: Taking taylor expansion of x in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.052 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.052 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.052 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.053 * [taylor]: Taking taylor expansion of -1 in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.053 * [taylor]: Taking taylor expansion of -1 in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.053 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.053 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.053 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.053 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.053 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.053 * [taylor]: Taking taylor expansion of -1 in x 0.053 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.054 * [taylor]: Taking taylor expansion of -1 in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.054 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.054 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of 1 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.058 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.058 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of 0 in y 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.065 * * * [progress]: simplifying candidates 0.066 * [simplify]: Simplifying using # : (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (* x x) (log (fma x x (* y y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y))) (sqrt (fma x x (* y y))) (sqrt (fma x x (* y y))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.068 * * [simplify]: iteration 0 : 26 enodes (cost 43 ) 0.070 * * [simplify]: iteration 1 : 76 enodes (cost 34 ) 0.072 * * [simplify]: iteration 2 : 218 enodes (cost 34 ) 0.076 * * [simplify]: iteration 3 : 767 enodes (cost 34 ) 0.103 * * [simplify]: iteration 4 : 5001 enodes (cost 34 ) 0.104 * [simplify]: Simplified to: (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (pow x 2) (log (fma x x (* y y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (pow (fma x x (* y y)) 3) (hypot x y) (hypot x y) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.104 * * * [progress]: adding candidates to table 0.130 * * [progress]: iteration 2 / 4 0.130 * * * [progress]: picking best candidate 0.133 * * * * [pick]: Picked # 0.133 * * * [progress]: localizing error 0.137 * * * [progress]: generating rewritten candidates 0.137 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.140 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.141 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.142 * * * [progress]: generating series expansions 0.142 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.142 * [approximate]: Taking taylor expansion of (pow (hypot x y) 2) in (x y) around 0 0.142 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 0.142 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.142 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.142 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.142 * [taylor]: Taking taylor expansion of (* x x) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [taylor]: Taking taylor expansion of (* y y) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.144 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.144 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.144 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.144 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.144 * [taylor]: Taking taylor expansion of (* x x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (* y y) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.145 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.145 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.145 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.145 * [taylor]: Taking taylor expansion of (* x x) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (* y y) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [taylor]: Taking taylor expansion of 1 in y 0.150 * [taylor]: Taking taylor expansion of 0 in y 0.153 * [taylor]: Taking taylor expansion of 0 in y 0.154 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.154 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 0.154 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.154 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.154 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.154 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.154 * [taylor]: Taking taylor expansion of x in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.154 * [taylor]: Taking taylor expansion of x in y 0.154 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.154 * [taylor]: Taking taylor expansion of y in y 0.157 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 0.157 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.157 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.157 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.157 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.158 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.158 * [taylor]: Taking taylor expansion of y in x 0.160 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 0.160 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.161 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.161 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.161 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.161 * [taylor]: Taking taylor expansion of y in x 0.164 * [taylor]: Taking taylor expansion of 1 in y 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of 0 in y 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in (x y) around 0 0.178 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 0.178 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.179 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.179 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.179 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.179 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.179 * [taylor]: Taking taylor expansion of -1 in y 0.179 * [taylor]: Taking taylor expansion of x in y 0.179 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.179 * [taylor]: Taking taylor expansion of -1 in y 0.179 * [taylor]: Taking taylor expansion of x in y 0.179 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.179 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.179 * [taylor]: Taking taylor expansion of -1 in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.179 * [taylor]: Taking taylor expansion of -1 in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 0.182 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.182 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.182 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.182 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.185 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.185 * [taylor]: Taking taylor expansion of -1 in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.186 * [taylor]: Taking taylor expansion of -1 in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.186 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.186 * [taylor]: Taking taylor expansion of -1 in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.187 * [taylor]: Taking taylor expansion of -1 in x 0.187 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 0.189 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.189 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.189 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.189 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.189 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.189 * [taylor]: Taking taylor expansion of -1 in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.190 * [taylor]: Taking taylor expansion of -1 in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.190 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.190 * [taylor]: Taking taylor expansion of -1 in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.190 * [taylor]: Taking taylor expansion of -1 in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.193 * [taylor]: Taking taylor expansion of 1 in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.206 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.206 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 0.206 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.206 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.206 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.206 * [taylor]: Taking taylor expansion of (* x x) in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [taylor]: Taking taylor expansion of (* y y) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.208 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.208 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.208 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.208 * [taylor]: Taking taylor expansion of (* x x) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (* y y) in x 0.208 * [taylor]: Taking taylor expansion of y in x 0.208 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.209 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.209 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.209 * [taylor]: Taking taylor expansion of (* x x) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (* y y) in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.210 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.212 * [taylor]: Taking taylor expansion of 1/2 in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.214 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 0.215 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.215 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.215 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.215 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.215 * [taylor]: Taking taylor expansion of x in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.215 * [taylor]: Taking taylor expansion of x in y 0.215 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.218 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.218 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.218 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.219 * [taylor]: Taking taylor expansion of y in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.219 * [taylor]: Taking taylor expansion of y in x 0.222 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.222 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.222 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.222 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.225 * [taylor]: Taking taylor expansion of 1 in y 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.228 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.228 * [taylor]: Taking taylor expansion of 1/2 in y 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.231 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 0.233 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.233 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.233 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.233 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.233 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.233 * [taylor]: Taking taylor expansion of -1 in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.233 * [taylor]: Taking taylor expansion of -1 in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.233 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.233 * [taylor]: Taking taylor expansion of -1 in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.233 * [taylor]: Taking taylor expansion of -1 in y 0.233 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.236 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.236 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.236 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.236 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.236 * [taylor]: Taking taylor expansion of -1 in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.236 * [taylor]: Taking taylor expansion of -1 in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.237 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.237 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.237 * [taylor]: Taking taylor expansion of -1 in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.237 * [taylor]: Taking taylor expansion of -1 in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.240 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.240 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.240 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.240 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.240 * [taylor]: Taking taylor expansion of -1 in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.240 * [taylor]: Taking taylor expansion of -1 in x 0.240 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.240 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.240 * [taylor]: Taking taylor expansion of -1 in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.240 * [taylor]: Taking taylor expansion of -1 in x 0.240 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of 1 in y 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.245 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.245 * [taylor]: Taking taylor expansion of 1/2 in y 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.250 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.250 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 0.250 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.250 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.250 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.251 * [taylor]: Taking taylor expansion of (* x x) in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [taylor]: Taking taylor expansion of (* y y) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.252 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.252 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.252 * [taylor]: Taking taylor expansion of (* x x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (* y y) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.253 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.253 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.253 * [taylor]: Taking taylor expansion of (* x x) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [taylor]: Taking taylor expansion of (* y y) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of 0 in y 0.256 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.256 * [taylor]: Taking taylor expansion of 1/2 in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.259 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 0.259 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.259 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.259 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.259 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.262 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.262 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.262 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.262 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.263 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.265 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.265 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.266 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of 1 in y 0.272 * [taylor]: Taking taylor expansion of 0 in y 0.274 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.274 * [taylor]: Taking taylor expansion of 1/2 in y 0.274 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 0.279 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.279 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.279 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.279 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.279 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.279 * [taylor]: Taking taylor expansion of -1 in y 0.279 * [taylor]: Taking taylor expansion of x in y 0.279 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.279 * [taylor]: Taking taylor expansion of -1 in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.280 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.280 * [taylor]: Taking taylor expansion of -1 in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.280 * [taylor]: Taking taylor expansion of -1 in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.283 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.283 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.283 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.283 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.283 * [taylor]: Taking taylor expansion of -1 in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.283 * [taylor]: Taking taylor expansion of -1 in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.283 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.283 * [taylor]: Taking taylor expansion of -1 in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.284 * [taylor]: Taking taylor expansion of -1 in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.286 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.286 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.286 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.286 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.286 * [taylor]: Taking taylor expansion of -1 in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.287 * [taylor]: Taking taylor expansion of -1 in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.287 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.287 * [taylor]: Taking taylor expansion of -1 in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.287 * [taylor]: Taking taylor expansion of -1 in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.290 * [taylor]: Taking taylor expansion of 1 in y 0.290 * [taylor]: Taking taylor expansion of 0 in y 0.292 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.292 * [taylor]: Taking taylor expansion of 1/2 in y 0.292 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.297 * * * [progress]: simplifying candidates 0.297 * [simplify]: Simplifying using # : (expm1 (* (hypot x y) (hypot x y))) (log1p (* (hypot x y) (hypot x y))) (+ 1 1) (* (hypot x y) (hypot x y)) (+ 1 1) (+ (log (hypot x y)) (log (hypot x y))) (log (* (hypot x y) (hypot x y))) (exp (* (hypot x y) (hypot x y))) (* (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y))) (* (cbrt (* (hypot x y) (hypot x y))) (cbrt (* (hypot x y) (hypot x y)))) (cbrt (* (hypot x y) (hypot x y))) (* (* (* (hypot x y) (hypot x y)) (* (hypot x y) (hypot x y))) (* (hypot x y) (hypot x y))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (sqrt (* (hypot x y) (hypot x y))) (sqrt (* (hypot x y) (hypot x y))) (* (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* 1 1) (* (hypot x y) (hypot x y)) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* 2 1) (* (hypot x y) (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (* (hypot x y) (sqrt (hypot x y))) (* (hypot x y) 1) (* (cbrt (hypot x y)) (hypot x y)) (* (sqrt (hypot x y)) (hypot x y)) (* (hypot x y) (hypot x y)) (expm1 (hypot x y)) (log1p (hypot x y)) (+ (* x x) (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (expm1 (hypot x y)) (log1p (hypot x y)) (+ (* x x) (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) y x (* -1 x) y x (* -1 x) 0.301 * * [simplify]: iteration 0 : 84 enodes (cost 173 ) 0.303 * * [simplify]: iteration 1 : 290 enodes (cost 146 ) 0.309 * * [simplify]: iteration 2 : 1254 enodes (cost 137 ) 0.341 * * [simplify]: iteration 3 : 5002 enodes (cost 134 ) 0.342 * [simplify]: Simplified to: (expm1 (* (hypot x y) (hypot x y))) (log1p (* (hypot x y) (hypot x y))) 2 (* (hypot x y) (hypot x y)) 2 (* 2 (log (hypot x y))) (* 2 (log (hypot x y))) (exp (* (hypot x y) (hypot x y))) (pow (hypot x y) 6) (* (cbrt (* (hypot x y) (hypot x y))) (cbrt (* (hypot x y) (hypot x y)))) (cbrt (* (hypot x y) (hypot x y))) (pow (hypot x y) 6) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (fabs (hypot x y)) (fabs (hypot x y)) (pow (cbrt (hypot x y)) 4) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (hypot x y) (hypot x y) 1 (* (hypot x y) (hypot x y)) (hypot x y) (hypot x y) 2 (pow (cbrt (hypot x y)) 5) (pow (sqrt (hypot x y)) 3) (hypot x y) (pow (cbrt (hypot x y)) 4) (pow (sqrt (hypot x y)) 3) (* (hypot x y) (hypot x y)) (expm1 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) (expm1 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) y x (* -1 x) y x (* -1 x) 0.342 * * * [progress]: adding candidates to table 0.438 * * [progress]: iteration 3 / 4 0.438 * * * [progress]: picking best candidate 0.440 * * * * [pick]: Picked # 0.440 * * * [progress]: localizing error 0.448 * * * [progress]: generating rewritten candidates 0.448 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.449 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.453 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.454 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.455 * * * [progress]: generating series expansions 0.455 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.455 * [approximate]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in (x y) around 0 0.455 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in y 0.455 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 0.455 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.456 * [taylor]: Taking taylor expansion of (* x x) in y 0.456 * [taylor]: Taking taylor expansion of x in y 0.456 * [taylor]: Taking taylor expansion of x in y 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.456 * [taylor]: Taking taylor expansion of y in y 0.456 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in x 0.456 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.457 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.457 * [taylor]: Taking taylor expansion of (* x x) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.457 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in x 0.458 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.458 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.458 * [taylor]: Taking taylor expansion of (* x x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.460 * [taylor]: Taking taylor expansion of y in y 0.460 * [taylor]: Taking taylor expansion of 0 in y 0.461 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.461 * [taylor]: Taking taylor expansion of 1/2 in y 0.461 * [taylor]: Taking taylor expansion of y in y 0.463 * [taylor]: Taking taylor expansion of 0 in y 0.464 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in (x y) around 0 0.464 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y 0.464 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 0.464 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.464 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.464 * [taylor]: Taking taylor expansion of x in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.464 * [taylor]: Taking taylor expansion of x in y 0.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.464 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x 0.467 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.467 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.467 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.467 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.470 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x 0.470 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.470 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.470 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.471 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.471 * [taylor]: Taking taylor expansion of y in x 0.473 * [taylor]: Taking taylor expansion of 1 in y 0.473 * [taylor]: Taking taylor expansion of 0 in y 0.475 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.476 * [taylor]: Taking taylor expansion of 1/2 in y 0.476 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of 0 in y 0.480 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in (x y) around 0 0.480 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y 0.480 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 0.480 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.480 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.481 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.481 * [taylor]: Taking taylor expansion of -1 in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.481 * [taylor]: Taking taylor expansion of -1 in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.481 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.483 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x 0.483 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.483 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.483 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.483 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.483 * [taylor]: Taking taylor expansion of -1 in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.483 * [taylor]: Taking taylor expansion of -1 in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x 0.489 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.489 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.489 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) 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 x) in x 0.490 * [taylor]: Taking taylor expansion of -1 in x 0.490 * [taylor]: Taking taylor expansion of x in x 0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.490 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.490 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of 1 in y 0.493 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.495 * [taylor]: Taking taylor expansion of 1/2 in y 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.500 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.500 * [approximate]: Taking taylor expansion of (* (hypot x y) (sqrt (fma x x (pow y 2)))) in (x y) around 0 0.500 * [taylor]: Taking taylor expansion of (* (hypot x y) (sqrt (fma x x (pow y 2)))) in y 0.500 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.500 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.500 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.500 * [taylor]: Taking taylor expansion of (* x x) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of (* y y) in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.502 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in y 0.502 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 0.502 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.502 * [taylor]: Taking taylor expansion of (* x x) in y 0.502 * [taylor]: Taking taylor expansion of x in y 0.502 * [taylor]: Taking taylor expansion of x in y 0.502 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.502 * [taylor]: Taking taylor expansion of y in y 0.502 * [taylor]: Taking taylor expansion of (* (hypot x y) (sqrt (fma x x (pow y 2)))) in x 0.502 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.502 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.502 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.502 * [taylor]: Taking taylor expansion of (* x x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (* y y) in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.504 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in x 0.504 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.504 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.504 * [taylor]: Taking taylor expansion of (* x x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.505 * [taylor]: Taking taylor expansion of (* (hypot x y) (sqrt (fma x x (pow y 2)))) in x 0.505 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.505 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.505 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.505 * [taylor]: Taking taylor expansion of (* x x) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (* y y) in x 0.505 * [taylor]: Taking taylor expansion of y in x 0.505 * [taylor]: Taking taylor expansion of y in x 0.506 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in x 0.506 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.506 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.506 * [taylor]: Taking taylor expansion of (* x x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.511 * [taylor]: Taking taylor expansion of 1 in y 0.514 * [taylor]: Taking taylor expansion of 0 in y 0.519 * [taylor]: Taking taylor expansion of 0 in y 0.519 * [approximate]: Taking taylor expansion of (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 0.519 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (hypot (/ 1 x) (/ 1 y))) in y 0.519 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y 0.519 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 0.519 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.519 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.519 * [taylor]: Taking taylor expansion of x in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.519 * [taylor]: Taking taylor expansion of x in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.519 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.522 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.522 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.522 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.522 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.522 * [taylor]: Taking taylor expansion of x in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.522 * [taylor]: Taking taylor expansion of x in y 0.522 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.522 * [taylor]: Taking taylor expansion of y in y 0.522 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.522 * [taylor]: Taking taylor expansion of y in y 0.525 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (hypot (/ 1 x) (/ 1 y))) in x 0.525 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x 0.525 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.525 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.525 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.526 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.526 * [taylor]: Taking taylor expansion of y in x 0.528 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.528 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.528 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.528 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.529 * [taylor]: Taking taylor expansion of y in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.529 * [taylor]: Taking taylor expansion of y in x 0.531 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (hypot (/ 1 x) (/ 1 y))) in x 0.531 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x 0.531 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.532 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.532 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.532 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.532 * [taylor]: Taking taylor expansion of y in x 0.535 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.535 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.535 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.535 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.535 * [taylor]: Taking taylor expansion of y in x 0.535 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.535 * [taylor]: Taking taylor expansion of y in x 0.538 * [taylor]: Taking taylor expansion of 1 in y 0.538 * [taylor]: Taking taylor expansion of 0 in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.544 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.549 * [taylor]: Taking taylor expansion of 0 in y 0.557 * [taylor]: Taking taylor expansion of 0 in y 0.558 * [approximate]: Taking taylor expansion of (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (hypot (/ -1 x) (/ -1 y))) in (x y) around 0 0.558 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (hypot (/ -1 x) (/ -1 y))) in y 0.558 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y 0.558 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 0.559 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.559 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.559 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.559 * [taylor]: Taking taylor expansion of -1 in y 0.559 * [taylor]: Taking taylor expansion of x in y 0.559 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.559 * [taylor]: Taking taylor expansion of -1 in y 0.559 * [taylor]: Taking taylor expansion of x in y 0.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.561 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.561 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.561 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.561 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.561 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.561 * [taylor]: Taking taylor expansion of -1 in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.561 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.561 * [taylor]: Taking taylor expansion of -1 in y 0.561 * [taylor]: Taking taylor expansion of x in y 0.561 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.561 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.561 * [taylor]: Taking taylor expansion of -1 in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.562 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.562 * [taylor]: Taking taylor expansion of -1 in y 0.562 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (hypot (/ -1 x) (/ -1 y))) in x 0.564 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x 0.564 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.565 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.565 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.565 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.565 * [taylor]: Taking taylor expansion of -1 in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.565 * [taylor]: Taking taylor expansion of -1 in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.565 * [taylor]: Taking taylor expansion of y in x 0.570 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.571 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.571 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.571 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.571 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.571 * [taylor]: Taking taylor expansion of -1 in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.571 * [taylor]: Taking taylor expansion of -1 in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.571 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.571 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.571 * [taylor]: Taking taylor expansion of -1 in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.571 * [taylor]: Taking taylor expansion of -1 in x 0.571 * [taylor]: Taking taylor expansion of y in x 0.574 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (hypot (/ -1 x) (/ -1 y))) in x 0.574 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x 0.574 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.574 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.574 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.574 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.574 * [taylor]: Taking taylor expansion of -1 in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.575 * [taylor]: Taking taylor expansion of -1 in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.575 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.575 * [taylor]: Taking taylor expansion of y in x 0.577 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.578 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.578 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.578 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.578 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.578 * [taylor]: Taking taylor expansion of -1 in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.578 * [taylor]: Taking taylor expansion of -1 in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.578 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.578 * [taylor]: Taking taylor expansion of -1 in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.578 * [taylor]: Taking taylor expansion of -1 in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.581 * [taylor]: Taking taylor expansion of 1 in y 0.582 * [taylor]: Taking taylor expansion of 0 in y 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.587 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.587 * [taylor]: Taking taylor expansion of y in y 0.593 * [taylor]: Taking taylor expansion of 0 in y 0.601 * [taylor]: Taking taylor expansion of 0 in y 0.602 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.602 * [approximate]: Taking taylor expansion of (fma x x (pow y 2)) in (x y) around 0 0.602 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 0.602 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.602 * [taylor]: Taking taylor expansion of (* x x) in y 0.602 * [taylor]: Taking taylor expansion of x in y 0.602 * [taylor]: Taking taylor expansion of x in y 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.602 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.602 * [taylor]: Taking taylor expansion of (* x x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.603 * [taylor]: Taking taylor expansion of y in x 0.603 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.603 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.603 * [taylor]: Taking taylor expansion of (* x x) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.603 * [taylor]: Taking taylor expansion of y in x 0.603 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.604 * [taylor]: Taking taylor expansion of 0 in y 0.605 * [taylor]: Taking taylor expansion of 1 in y 0.606 * [taylor]: Taking taylor expansion of 0 in y 0.608 * [taylor]: Taking taylor expansion of 0 in y 0.608 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.608 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 0.609 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.609 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.609 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.609 * [taylor]: Taking taylor expansion of x in y 0.609 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.609 * [taylor]: Taking taylor expansion of x in y 0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.609 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.609 * [taylor]: Taking taylor expansion of y in y 0.609 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.609 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.609 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.609 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.610 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.610 * [taylor]: Taking taylor expansion of y in x 0.610 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.610 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.610 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.611 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.611 * [taylor]: Taking taylor expansion of y in x 0.611 * [taylor]: Taking taylor expansion of 1 in y 0.613 * [taylor]: Taking taylor expansion of 0 in y 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.614 * [taylor]: Taking taylor expansion of y in y 0.617 * [taylor]: Taking taylor expansion of 0 in y 0.620 * [taylor]: Taking taylor expansion of 0 in y 0.621 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in (x y) around 0 0.621 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 0.621 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.621 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.621 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.621 * [taylor]: Taking taylor expansion of -1 in y 0.621 * [taylor]: Taking taylor expansion of x in y 0.621 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.621 * [taylor]: Taking taylor expansion of -1 in y 0.621 * [taylor]: Taking taylor expansion of x in y 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.621 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.621 * [taylor]: Taking taylor expansion of y in y 0.622 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.622 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.622 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.622 * [taylor]: Taking taylor expansion of -1 in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.622 * [taylor]: Taking taylor expansion of -1 in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.622 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.623 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.623 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.623 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.623 * [taylor]: Taking taylor expansion of -1 in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.623 * [taylor]: Taking taylor expansion of -1 in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.623 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.623 * [taylor]: Taking taylor expansion of y in x 0.624 * [taylor]: Taking taylor expansion of 1 in y 0.625 * [taylor]: Taking taylor expansion of 0 in y 0.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.627 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.629 * [taylor]: Taking taylor expansion of 0 in y 0.633 * [taylor]: Taking taylor expansion of 0 in y 0.634 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.634 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 0.634 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.634 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.634 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.634 * [taylor]: Taking taylor expansion of (* x x) in y 0.634 * [taylor]: Taking taylor expansion of x in y 0.634 * [taylor]: Taking taylor expansion of x in y 0.634 * [taylor]: Taking taylor expansion of (* y y) in y 0.634 * [taylor]: Taking taylor expansion of y in y 0.634 * [taylor]: Taking taylor expansion of y in y 0.635 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.635 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.635 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.635 * [taylor]: Taking taylor expansion of (* x x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (* y y) in x 0.635 * [taylor]: Taking taylor expansion of y in x 0.635 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.637 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.637 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.637 * [taylor]: Taking taylor expansion of (* x x) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (* y y) in x 0.637 * [taylor]: Taking taylor expansion of y in x 0.637 * [taylor]: Taking taylor expansion of y in x 0.638 * [taylor]: Taking taylor expansion of y in y 0.638 * [taylor]: Taking taylor expansion of 0 in y 0.639 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.639 * [taylor]: Taking taylor expansion of 1/2 in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.641 * [taylor]: Taking taylor expansion of 0 in y 0.642 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 0.642 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.642 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.642 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.642 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.642 * [taylor]: Taking taylor expansion of x in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.642 * [taylor]: Taking taylor expansion of x in y 0.642 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.642 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.642 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.645 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.645 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.645 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.645 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.646 * [taylor]: Taking taylor expansion of y in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.646 * [taylor]: Taking taylor expansion of y in x 0.648 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.648 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.648 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.649 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.649 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.651 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.651 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.654 * [taylor]: Taking taylor expansion of 1 in y 0.654 * [taylor]: Taking taylor expansion of 0 in y 0.656 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.656 * [taylor]: Taking taylor expansion of 1/2 in y 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.660 * [taylor]: Taking taylor expansion of 0 in y 0.661 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 0.661 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.661 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.661 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.661 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.661 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.661 * [taylor]: Taking taylor expansion of -1 in y 0.661 * [taylor]: Taking taylor expansion of x in y 0.661 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.661 * [taylor]: Taking taylor expansion of -1 in y 0.661 * [taylor]: Taking taylor expansion of x in y 0.661 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.661 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.662 * [taylor]: Taking taylor expansion of -1 in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.662 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.662 * [taylor]: Taking taylor expansion of -1 in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.665 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.665 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.665 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.665 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.665 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.665 * [taylor]: Taking taylor expansion of -1 in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.665 * [taylor]: Taking taylor expansion of -1 in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.665 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.665 * [taylor]: Taking taylor expansion of -1 in x 0.665 * [taylor]: Taking taylor expansion of y in x 0.665 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.665 * [taylor]: Taking taylor expansion of -1 in x 0.665 * [taylor]: Taking taylor expansion of y in x 0.668 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.668 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.668 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.668 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.668 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.668 * [taylor]: Taking taylor expansion of -1 in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.668 * [taylor]: Taking taylor expansion of -1 in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.669 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.669 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.669 * [taylor]: Taking taylor expansion of -1 in x 0.669 * [taylor]: Taking taylor expansion of y in x 0.669 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.669 * [taylor]: Taking taylor expansion of -1 in x 0.669 * [taylor]: Taking taylor expansion of y in x 0.671 * [taylor]: Taking taylor expansion of 1 in y 0.671 * [taylor]: Taking taylor expansion of 0 in y 0.674 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.674 * [taylor]: Taking taylor expansion of 1/2 in y 0.674 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.677 * [taylor]: Taking taylor expansion of 0 in y 0.679 * * * [progress]: simplifying candidates 0.679 * [simplify]: Simplifying using # : (expm1 (sqrt (fma x x (* y y)))) (log1p (sqrt (fma x x (* y y)))) (log (sqrt (fma x x (* y y)))) (exp (sqrt (fma x x (* y y)))) (* (cbrt (sqrt (fma x x (* y y)))) (cbrt (sqrt (fma x x (* y y))))) (cbrt (sqrt (fma x x (* y y)))) (* (* (sqrt (fma x x (* y y))) (sqrt (fma x x (* y y)))) (sqrt (fma x x (* y y)))) (sqrt (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))) (sqrt (cbrt (fma x x (* y y)))) (sqrt (sqrt (fma x x (* y y)))) (sqrt (sqrt (fma x x (* y y)))) (sqrt 1) (sqrt (fma x x (* y y))) (/ 1 2) (sqrt (sqrt (fma x x (* y y)))) (sqrt (sqrt (fma x x (* y y)))) (expm1 (* (hypot x y) (sqrt (fma x x (* y y))))) (log1p (* (hypot x y) (sqrt (fma x x (* y y))))) (* (hypot x y) (sqrt (fma x x (* y y)))) (+ (log (hypot x y)) (log (sqrt (fma x x (* y y))))) (log (* (hypot x y) (sqrt (fma x x (* y y))))) (exp (* (hypot x y) (sqrt (fma x x (* y y))))) (* (* (* (hypot x y) (hypot x y)) (hypot x y)) (* (* (sqrt (fma x x (* y y))) (sqrt (fma x x (* y y)))) (sqrt (fma x x (* y y))))) (* (cbrt (* (hypot x y) (sqrt (fma x x (* y y))))) (cbrt (* (hypot x y) (sqrt (fma x x (* y y)))))) (cbrt (* (hypot x y) (sqrt (fma x x (* y y))))) (* (* (* (hypot x y) (sqrt (fma x x (* y y)))) (* (hypot x y) (sqrt (fma x x (* y y))))) (* (hypot x y) (sqrt (fma x x (* y y))))) (* (+ (* x x) (* y y)) (fma x x (* y y))) (sqrt (* (hypot x y) (sqrt (fma x x (* y y))))) (sqrt (* (hypot x y) (sqrt (fma x x (* y y))))) (* (sqrt (hypot x y)) (sqrt (sqrt (fma x x (* y y))))) (* (sqrt (hypot x y)) (sqrt (sqrt (fma x x (* y y))))) (* (sqrt (hypot x y)) (sqrt (sqrt (fma x x (* y y))))) (* (sqrt (hypot x y)) (sqrt (sqrt (fma x x (* y y))))) (* (hypot x y) (* (cbrt (sqrt (fma x x (* y y)))) (cbrt (sqrt (fma x x (* y y)))))) (* (hypot x y) (sqrt (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))))) (* (hypot x y) (sqrt (sqrt (fma x x (* y y))))) (* (hypot x y) (sqrt 1)) (* (hypot x y) (sqrt (sqrt (fma x x (* y y))))) (* (hypot x y) 1) (* (cbrt (hypot x y)) (sqrt (fma x x (* y y)))) (* (sqrt (hypot x y)) (sqrt (fma x x (* y y)))) (* (hypot x y) (sqrt (fma x x (* y y)))) (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (* x x) (log (fma x x (* y y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y))) (sqrt (fma x x (* y y))) (sqrt (fma x x (* y y))) (expm1 (hypot x y)) (log1p (hypot x y)) (+ (* x x) (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (* (* (hypot x y) (hypot x y)) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) y x (* -1 x) 0.683 * * [simplify]: iteration 0 : 109 enodes (cost 313 ) 0.686 * * [simplify]: iteration 1 : 372 enodes (cost 214 ) 0.691 * * [simplify]: iteration 2 : 1181 enodes (cost 170 ) 0.711 * * [simplify]: iteration 3 : 5001 enodes (cost 167 ) 0.712 * [simplify]: Simplified to: (expm1 (hypot x y)) (log1p (hypot x y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (fabs (cbrt (fma x x (* y y)))) (sqrt (cbrt (fma x x (* y y)))) (sqrt (hypot x y)) (sqrt (hypot x y)) 1 (hypot x y) 1/2 (sqrt (hypot x y)) (sqrt (hypot x y)) (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (fma x x (* y y)) (log (fma x x (* y y))) (log (fma x x (* y y))) (exp (fma x x (* y y))) (pow (hypot x y) 6) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (pow (hypot x y) 6) (pow (hypot x y) 4) (hypot x y) (hypot x y) (hypot x y) (hypot x y) (hypot x y) (hypot x y) (* (* (hypot x y) (cbrt (hypot x y))) (cbrt (hypot x y))) (* (fabs (cbrt (fma x x (* y y)))) (hypot x y)) (pow (sqrt (hypot x y)) 3) (hypot x y) (pow (sqrt (hypot x y)) 3) (hypot x y) (* (hypot x y) (cbrt (hypot x y))) (pow (sqrt (hypot x y)) 3) (fma x x (* y y)) (expm1 (fma x x (* y y))) (log1p (fma x x (* y y))) (pow x 2) (log (fma x x (* y y))) (exp (fma x x (* y y))) (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))) (cbrt (fma x x (* y y))) (pow (hypot x y) 6) (hypot x y) (hypot x y) (expm1 (hypot x y)) (log1p (hypot x y)) (fma x x (* y y)) (log (hypot x y)) (exp (hypot x y)) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (sqrt (hypot x y)) (sqrt (hypot x y)) y x (* -1 x) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) y x (* -1 x) 0.712 * * * [progress]: adding candidates to table 0.853 * [progress]: [Phase 3 of 3] Extracting. 0.854 * * [regime]: Finding splitpoints for: (# #) 0.854 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 0.854 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.864 * * * * [regimes]: Trying to branch on y from (# #) 0.877 * * * * [regimes]: Trying to branch on x from (# #) 0.888 * * * [regime]: Found split indices: #