17.779 * [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. 0.018 * [simplify]: Simplifying using # : (+ (* x x) (* y y)) 0.020 * * [simplify]: iteration 0 : 7 enodes (cost 2 ) 0.022 * * [simplify]: iteration 1 : 8 enodes (cost 2 ) 0.023 * * [simplify]: iteration 2 : 8 enodes (cost 2 ) 0.023 * [simplify]: Simplified to: (fma x x (* y y)) 0.025 * * [progress]: iteration 1 / 4 0.025 * * * [progress]: picking best candidate 0.026 * * * * [pick]: Picked # 0.026 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.031 * * * [progress]: generating series expansions 0.031 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.031 * [approximate]: Taking taylor expansion of (fma x x (pow y 2)) in (x y) around 0 0.031 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 0.031 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.031 * [taylor]: Taking taylor expansion of (* x x) in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of x in y 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.031 * [taylor]: Taking taylor expansion of y in y 0.031 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.031 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.031 * [taylor]: Taking taylor expansion of (* x x) in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of x in x 0.031 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.031 * [taylor]: Taking taylor expansion of y in x 0.031 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.032 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.032 * [taylor]: Taking taylor expansion of (* x x) in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of x in x 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.032 * [taylor]: Taking taylor expansion of y in x 0.032 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of 0 in y 0.034 * [taylor]: Taking taylor expansion of 1 in y 0.035 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 0.038 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.038 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.038 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.038 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.039 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 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 x 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.039 * [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 1 in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 0.050 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.050 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.050 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.050 * [taylor]: Taking taylor expansion of -1 in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.050 * [taylor]: Taking taylor expansion of -1 in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.051 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.051 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.051 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.051 * [taylor]: Taking taylor expansion of -1 in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.051 * [taylor]: Taking taylor expansion of -1 in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.051 * [taylor]: Taking taylor expansion of y in x 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 0.052 * [taylor]: Taking taylor expansion of -1 in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.052 * [taylor]: Taking taylor expansion of -1 in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.053 * [taylor]: Taking taylor expansion of 1 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.058 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of 0 in y 0.066 * * * [progress]: simplifying candidates 0.067 * [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)) 0.069 * * [simplify]: iteration 0 : 26 enodes (cost 43 ) 0.071 * * [simplify]: iteration 1 : 76 enodes (cost 34 ) 0.073 * * [simplify]: iteration 2 : 218 enodes (cost 34 ) 0.077 * * [simplify]: iteration 3 : 767 enodes (cost 34 ) 0.102 * * [simplify]: iteration 4 : 5001 enodes (cost 34 ) 0.103 * [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)) 0.103 * * * [progress]: adding candidates to table 0.124 * * [progress]: iteration 2 / 4 0.124 * * * [progress]: picking best candidate 0.125 * * * * [pick]: Picked # 0.125 * * * [progress]: localizing error 0.129 * * * [progress]: generating rewritten candidates 0.129 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.133 * * * [progress]: generating series expansions 0.133 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.133 * [approximate]: Taking taylor expansion of (pow (hypot x y) 2) in (x y) around 0 0.133 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 0.133 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.133 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.133 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.133 * [taylor]: Taking taylor expansion of (* x x) in y 0.133 * [taylor]: Taking taylor expansion of x in y 0.133 * [taylor]: Taking taylor expansion of x in y 0.133 * [taylor]: Taking taylor expansion of (* y y) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.134 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.134 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.135 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.135 * [taylor]: Taking taylor expansion of (* x x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (* y y) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.136 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.136 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.136 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.136 * [taylor]: Taking taylor expansion of (* x x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (* y y) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.139 * [taylor]: Taking taylor expansion of 1 in y 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.144 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 0.144 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.144 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.144 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.144 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.144 * [taylor]: Taking taylor expansion of x in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.144 * [taylor]: Taking taylor expansion of x in y 0.144 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 0.147 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.147 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.147 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.147 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 0.150 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.150 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.150 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.150 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of 1 in y 0.154 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.170 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in (x y) around 0 0.170 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 0.170 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.170 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.170 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.170 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.170 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.170 * [taylor]: Taking taylor expansion of -1 in y 0.170 * [taylor]: Taking taylor expansion of x in y 0.170 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.170 * [taylor]: Taking taylor expansion of -1 in y 0.170 * [taylor]: Taking taylor expansion of x in y 0.170 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.170 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.170 * [taylor]: Taking taylor expansion of -1 in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.170 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.170 * [taylor]: Taking taylor expansion of -1 in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 0.173 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.173 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.173 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.173 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.173 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.173 * [taylor]: Taking taylor expansion of -1 in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.174 * [taylor]: Taking taylor expansion of -1 in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.174 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.174 * [taylor]: Taking taylor expansion of -1 in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.174 * [taylor]: Taking taylor expansion of -1 in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 0.177 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.177 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.177 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.177 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.177 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.177 * [taylor]: Taking taylor expansion of -1 in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.177 * [taylor]: Taking taylor expansion of -1 in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.177 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.177 * [taylor]: Taking taylor expansion of -1 in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.177 * [taylor]: Taking taylor expansion of -1 in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.180 * [taylor]: Taking taylor expansion of 1 in y 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.193 * * * [progress]: simplifying candidates 0.193 * [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)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.196 * * [simplify]: iteration 0 : 78 enodes (cost 119 ) 0.199 * * [simplify]: iteration 1 : 284 enodes (cost 98 ) 0.205 * * [simplify]: iteration 2 : 1238 enodes (cost 89 ) 0.237 * * [simplify]: iteration 3 : 5001 enodes (cost 86 ) 0.238 * [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)) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.238 * * * [progress]: adding candidates to table 0.277 * * [progress]: iteration 3 / 4 0.277 * * * [progress]: picking best candidate 0.278 * * * * [pick]: Picked # 0.278 * * * [progress]: localizing error 0.285 * * * [progress]: generating rewritten candidates 0.285 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.287 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.302 * * * [progress]: generating series expansions 0.302 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.303 * [approximate]: Taking taylor expansion of (pow (sqrt (hypot x y)) 3) in (x y) around 0 0.303 * [taylor]: Taking taylor expansion of (pow (sqrt (hypot x y)) 3) in y 0.303 * [taylor]: Taking taylor expansion of (sqrt (hypot x y)) in y 0.303 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.303 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.303 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.303 * [taylor]: Taking taylor expansion of (* x x) in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.303 * [taylor]: Taking taylor expansion of (* y y) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.304 * [taylor]: Taking taylor expansion of (pow (sqrt (hypot x y)) 3) in x 0.304 * [taylor]: Taking taylor expansion of (sqrt (hypot x y)) in x 0.304 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.304 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.304 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.304 * [taylor]: Taking taylor expansion of (* x x) in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of x in x 0.304 * [taylor]: Taking taylor expansion of (* y y) in x 0.304 * [taylor]: Taking taylor expansion of y in x 0.304 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of (pow (sqrt (hypot x y)) 3) in x 0.305 * [taylor]: Taking taylor expansion of (sqrt (hypot x y)) in x 0.305 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.305 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.306 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.306 * [taylor]: Taking taylor expansion of (* x x) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (* y y) in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.307 * [taylor]: Taking taylor expansion of (sqrt (pow y 3)) in y 0.307 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.311 * [taylor]: Taking taylor expansion of (* 3/4 (sqrt (/ 1 y))) in y 0.311 * [taylor]: Taking taylor expansion of 3/4 in y 0.311 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.320 * [approximate]: Taking taylor expansion of (pow (sqrt (hypot (/ 1 x) (/ 1 y))) 3) in (x y) around 0 0.320 * [taylor]: Taking taylor expansion of (pow (sqrt (hypot (/ 1 x) (/ 1 y))) 3) in y 0.320 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in y 0.320 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.320 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.320 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.320 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.320 * [taylor]: Taking taylor expansion of x in y 0.320 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of (pow (sqrt (hypot (/ 1 x) (/ 1 y))) 3) in x 0.324 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in x 0.324 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.324 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.324 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.324 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.328 * [taylor]: Taking taylor expansion of (pow (sqrt (hypot (/ 1 x) (/ 1 y))) 3) in x 0.328 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in x 0.328 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.328 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.328 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.328 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.336 * [taylor]: Taking taylor expansion of +nan.0 in y 0.340 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.340 * [taylor]: Taking taylor expansion of +nan.0 in y 0.345 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.345 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.345 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.345 * [taylor]: Taking taylor expansion of +nan.0 in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.346 * [taylor]: Taking taylor expansion of +nan.0 in y 0.350 * [approximate]: Taking taylor expansion of (pow (sqrt (hypot (/ -1 x) (/ -1 y))) 3) in (x y) around 0 0.350 * [taylor]: Taking taylor expansion of (pow (sqrt (hypot (/ -1 x) (/ -1 y))) 3) in y 0.350 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in y 0.350 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.350 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.350 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.350 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.350 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.350 * [taylor]: Taking taylor expansion of -1 in y 0.350 * [taylor]: Taking taylor expansion of x in y 0.351 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.351 * [taylor]: Taking taylor expansion of -1 in y 0.351 * [taylor]: Taking taylor expansion of x in y 0.351 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.351 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.351 * [taylor]: Taking taylor expansion of -1 in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.351 * [taylor]: Taking taylor expansion of -1 in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of (pow (sqrt (hypot (/ -1 x) (/ -1 y))) 3) in x 0.355 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in x 0.355 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.355 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.355 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.355 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.355 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.355 * [taylor]: Taking taylor expansion of -1 in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.355 * [taylor]: Taking taylor expansion of -1 in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.355 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.355 * [taylor]: Taking taylor expansion of -1 in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.356 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.356 * [taylor]: Taking taylor expansion of -1 in x 0.356 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of (pow (sqrt (hypot (/ -1 x) (/ -1 y))) 3) in x 0.359 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in x 0.359 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.359 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.359 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.359 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.359 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.359 * [taylor]: Taking taylor expansion of -1 in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.359 * [taylor]: Taking taylor expansion of -1 in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.360 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.360 * [taylor]: Taking taylor expansion of -1 in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.360 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.360 * [taylor]: Taking taylor expansion of -1 in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of +nan.0 in y 0.367 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.367 * [taylor]: Taking taylor expansion of +nan.0 in y 0.373 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.373 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.373 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.373 * [taylor]: Taking taylor expansion of +nan.0 in y 0.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.373 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.373 * [taylor]: Taking taylor expansion of y in y 0.373 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.373 * [taylor]: Taking taylor expansion of +nan.0 in y 0.377 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.378 * [approximate]: Taking taylor expansion of (pow (hypot x y) 2) in (x y) around 0 0.378 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in y 0.378 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.378 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.378 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.378 * [taylor]: Taking taylor expansion of (* x x) in y 0.378 * [taylor]: Taking taylor expansion of x in y 0.378 * [taylor]: Taking taylor expansion of x in y 0.378 * [taylor]: Taking taylor expansion of (* y y) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.379 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.379 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.379 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.379 * [taylor]: Taking taylor expansion of (* x x) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [taylor]: Taking taylor expansion of (* y y) in x 0.379 * [taylor]: Taking taylor expansion of y in x 0.379 * [taylor]: Taking taylor expansion of y in x 0.380 * [taylor]: Taking taylor expansion of (pow (hypot x y) 2) in x 0.380 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.380 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.380 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.380 * [taylor]: Taking taylor expansion of (* x x) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [taylor]: Taking taylor expansion of (* y y) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.383 * [taylor]: Taking taylor expansion of 1 in y 0.385 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.389 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in (x y) around 0 0.389 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in y 0.389 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.389 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.389 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.389 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.389 * [taylor]: Taking taylor expansion of x in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.389 * [taylor]: Taking taylor expansion of x in y 0.389 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.389 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.392 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 0.392 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.392 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.392 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.392 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.395 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 x) (/ 1 y)) 2) in x 0.395 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.395 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.395 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.395 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.396 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.398 * [taylor]: Taking taylor expansion of 1 in y 0.399 * [taylor]: Taking taylor expansion of 0 in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of 0 in y 0.409 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in (x y) around 0 0.411 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 0.411 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.411 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.411 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.411 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.411 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.411 * [taylor]: Taking taylor expansion of -1 in y 0.411 * [taylor]: Taking taylor expansion of x in y 0.411 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.411 * [taylor]: Taking taylor expansion of -1 in y 0.411 * [taylor]: Taking taylor expansion of x in y 0.411 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.411 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.411 * [taylor]: Taking taylor expansion of -1 in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.411 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.411 * [taylor]: Taking taylor expansion of -1 in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.418 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 0.418 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.419 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.419 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.419 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.419 * [taylor]: Taking taylor expansion of -1 in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.419 * [taylor]: Taking taylor expansion of -1 in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.419 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.419 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.419 * [taylor]: Taking taylor expansion of -1 in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.419 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.419 * [taylor]: Taking taylor expansion of -1 in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 0.422 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.422 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.422 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.422 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.422 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.422 * [taylor]: Taking taylor expansion of -1 in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.422 * [taylor]: Taking taylor expansion of -1 in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.423 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.423 * [taylor]: Taking taylor expansion of -1 in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.423 * [taylor]: Taking taylor expansion of -1 in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.425 * [taylor]: Taking taylor expansion of 1 in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.429 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of 0 in y 0.437 * [taylor]: Taking taylor expansion of 0 in y 0.438 * * * [progress]: simplifying candidates 0.439 * [simplify]: Simplifying using # : (expm1 (pow (sqrt (hypot x y)) 3)) (log1p (pow (sqrt (hypot x y)) 3)) (* (log (sqrt (hypot x y))) 3) (* (log (sqrt (hypot x y))) 3) (* 1/2 3) (* 1 3) (* (/ 1 2) 3) (pow (sqrt (hypot x y)) (* (cbrt 3) (cbrt 3))) (pow (sqrt (hypot x y)) (sqrt 3)) (pow (sqrt (hypot x y)) 1) (pow (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) 3) (pow (cbrt (sqrt (hypot x y))) 3) (pow (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) 3) (pow (sqrt (cbrt (hypot x y))) 3) (pow (sqrt (sqrt (hypot x y))) 3) (pow (sqrt (sqrt (hypot x y))) 3) (pow (sqrt 1) 3) (pow (sqrt (hypot x y)) 3) (pow (sqrt (sqrt (hypot x y))) 3) (pow (sqrt (sqrt (hypot x y))) 3) (pow 1 3) (pow (sqrt (hypot x y)) 3) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (log (pow (sqrt (hypot x y)) 3)) (exp (pow (sqrt (hypot x y)) 3)) (* (cbrt (pow (sqrt (hypot x y)) 3)) (cbrt (pow (sqrt (hypot x y)) 3))) (cbrt (pow (sqrt (hypot x y)) 3)) (* (* (pow (sqrt (hypot x y)) 3) (pow (sqrt (hypot x y)) 3)) (pow (sqrt (hypot x y)) 3)) (pow (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) 3) (pow (cbrt (sqrt (hypot x y))) 3) (pow (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) 3) (pow (sqrt (cbrt (hypot x y))) 3) (pow (sqrt (sqrt (hypot x y))) 3) (pow (sqrt (sqrt (hypot x y))) 3) (pow (sqrt 1) 3) (pow (sqrt (hypot x y)) 3) (pow (sqrt (sqrt (hypot x y))) 3) (pow (sqrt (sqrt (hypot x y))) 3) (pow 1 3) (pow (sqrt (hypot x y)) 3) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (/ 3 2) (sqrt (pow (sqrt (hypot x y)) 3)) (sqrt (pow (sqrt (hypot x y)) 3)) (pow (sqrt (hypot x y)) (/ 3 2)) (pow (sqrt (hypot x y)) (/ 3 2)) (expm1 (* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y)))) (log1p (* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y)))) (+ 3 1) (+ 3 1) (+ (* (log (sqrt (hypot x y))) 3) (log (sqrt (hypot x y)))) (+ (* (log (sqrt (hypot x y))) 3) (log (sqrt (hypot x y)))) (+ (log (pow (sqrt (hypot x y)) 3)) (log (sqrt (hypot x y)))) (log (* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y)))) (exp (* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y)))) (* (* (* (pow (sqrt (hypot x y)) 3) (pow (sqrt (hypot x y)) 3)) (pow (sqrt (hypot x y)) 3)) (* (* (sqrt (hypot x y)) (sqrt (hypot x y))) (sqrt (hypot x y)))) (* (cbrt (* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y)))) (cbrt (* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y))))) (cbrt (* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y)))) (* (* (* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y))) (* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y)))) (* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y)))) (sqrt (* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y)))) (sqrt (* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y)))) (* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (sqrt (hypot x y)))) (* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (sqrt (hypot x y)))) (* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (sqrt (hypot x y)))) (* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (sqrt (hypot x y)))) (* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (sqrt (hypot x y)))) (* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (sqrt (hypot x y)))) (* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (sqrt (hypot x y)))) (* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (sqrt (hypot x y)))) (* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (sqrt (hypot x y)))) (* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (sqrt (hypot x y)))) (* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (sqrt (hypot x y)))) (* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (sqrt (hypot x y)))) (* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (sqrt (hypot x y)))) (* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (sqrt (hypot x y)))) (* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (sqrt (hypot x y)))) (* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (sqrt (hypot x y)))) (* (sqrt (pow (sqrt (hypot x y)) 3)) (sqrt (sqrt (hypot x y)))) (* (sqrt (pow (sqrt (hypot x y)) 3)) (sqrt (sqrt (hypot x y)))) (* (sqrt (pow (sqrt (hypot x y)) 3)) (sqrt (sqrt (hypot x y)))) (* (sqrt (pow (sqrt (hypot x y)) 3)) (sqrt (sqrt (hypot x y)))) (* (pow (sqrt (hypot x y)) (/ 3 2)) (sqrt (sqrt (hypot x y)))) (* (pow (sqrt (hypot x y)) (/ 3 2)) (sqrt (sqrt (hypot x y)))) (* (pow (sqrt (hypot x y)) (/ 3 2)) (sqrt (sqrt (hypot x y)))) (* (pow (sqrt (hypot x y)) (/ 3 2)) (sqrt (sqrt (hypot x y)))) (* (pow (sqrt (hypot x y)) 3) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))))) (* (pow (sqrt (hypot x y)) 3) (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (pow (sqrt (hypot x y)) 3) (sqrt (sqrt (hypot x y)))) (* (pow (sqrt (hypot x y)) 3) (sqrt 1)) (* (pow (sqrt (hypot x y)) 3) (sqrt (sqrt (hypot x y)))) (* (pow (sqrt (hypot x y)) 3) 1) (* (pow (cbrt (sqrt (hypot x y))) 3) (sqrt (hypot x y))) (* (pow (sqrt (cbrt (hypot x y))) 3) (sqrt (hypot x y))) (* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (hypot x y))) (* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y))) (* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (hypot x y))) (* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y))) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (cbrt (pow (sqrt (hypot x y)) 3)) (sqrt (hypot x y))) (* (pow (cbrt (sqrt (hypot x y))) 3) (sqrt (hypot x y))) (* (pow (sqrt (cbrt (hypot x y))) 3) (sqrt (hypot x y))) (* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (hypot x y))) (* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y))) (* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (hypot x y))) (* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y))) (* (* (sqrt (hypot x y)) (sqrt (hypot x y))) (sqrt (hypot x y))) (* (sqrt (pow (sqrt (hypot x y)) 3)) (sqrt (hypot x y))) (* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y))) (* (pow (sqrt (hypot x y)) (/ 3 2)) (sqrt (hypot x y))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (* (pow x 2) y)) (- (* +nan.0 (pow y 2))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.444 * * [simplify]: iteration 0 : 242 enodes (cost 526 ) 0.449 * * [simplify]: iteration 1 : 1136 enodes (cost 406 ) 0.481 * * [simplify]: iteration 2 : 5001 enodes (cost 347 ) 0.484 * [simplify]: Simplified to: (expm1 (pow (sqrt (hypot x y)) 3)) (log1p (pow (sqrt (hypot x y)) 3)) (log (pow (sqrt (hypot x y)) 3)) (log (pow (sqrt (hypot x y)) 3)) 3/2 3 3/2 (pow (sqrt (hypot x y)) (* (cbrt 3) (cbrt 3))) (pow (sqrt (hypot x y)) (sqrt 3)) (sqrt (hypot x y)) (hypot x y) (sqrt (hypot x y)) (pow (fabs (cbrt (hypot x y))) 3) (pow (sqrt (cbrt (hypot x y))) 3) (pow (sqrt (hypot x y)) 3/2) (pow (sqrt (hypot x y)) 3/2) 1 (pow (sqrt (hypot x y)) 3) (pow (sqrt (hypot x y)) 3/2) (pow (sqrt (hypot x y)) 3/2) 1 (pow (sqrt (hypot x y)) 3) (hypot x y) (log (pow (sqrt (hypot x y)) 3)) (exp (pow (sqrt (hypot x y)) 3)) (hypot x y) (sqrt (hypot x y)) (pow (sqrt (hypot x y)) 9) (hypot x y) (sqrt (hypot x y)) (pow (fabs (cbrt (hypot x y))) 3) (pow (sqrt (cbrt (hypot x y))) 3) (pow (sqrt (hypot x y)) 3/2) (pow (sqrt (hypot x y)) 3/2) 1 (pow (sqrt (hypot x y)) 3) (pow (sqrt (hypot x y)) 3/2) (pow (sqrt (hypot x y)) 3/2) 1 (pow (sqrt (hypot x y)) 3) (hypot x y) 3/2 (sqrt (pow (sqrt (hypot x y)) 3)) (sqrt (pow (sqrt (hypot x y)) 3)) (pow (sqrt (hypot x y)) 3/2) (pow (sqrt (hypot x y)) 3/2) (expm1 (* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y)))) (log1p (* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y)))) 4 4 (* 4 (log (sqrt (hypot x y)))) (* 4 (log (sqrt (hypot x y)))) (* 4 (log (sqrt (hypot x y)))) (* 4 (log (sqrt (hypot x y)))) (pow (exp (hypot x y)) (hypot x y)) (pow (sqrt (hypot x y)) 12) (* (cbrt (* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y)))) (cbrt (* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y))))) (cbrt (* (pow (sqrt (hypot x y)) 3) (sqrt (hypot x y)))) (pow (sqrt (hypot x y)) 12) (fabs (hypot x y)) (fabs (hypot x y)) (hypot x y) (hypot x y) (hypot x y) (hypot x y) (hypot x y) (hypot x y) (hypot x y) (hypot x y) (hypot x y) (hypot x y) (hypot x y) (hypot x y) (hypot x y) (hypot x y) (hypot x y) (hypot x y) (* (sqrt (pow (sqrt (hypot x y)) 3)) (sqrt (sqrt (hypot x y)))) (* (sqrt (pow (sqrt (hypot x y)) 3)) (sqrt (sqrt (hypot x y)))) (* (sqrt (pow (sqrt (hypot x y)) 3)) (sqrt (sqrt (hypot x y)))) (* (sqrt (pow (sqrt (hypot x y)) 3)) (sqrt (sqrt (hypot x y)))) (hypot x y) (hypot x y) (hypot x y) (hypot x y) (* (pow (sqrt (hypot x y)) 3) (cbrt (hypot x y))) (* (fabs (cbrt (hypot x y))) (pow (sqrt (hypot x y)) 3)) (* (pow (sqrt (hypot x y)) 3/2) (hypot x y)) (pow (sqrt (hypot x y)) 3) (* (pow (sqrt (hypot x y)) 3/2) (hypot x y)) (pow (sqrt (hypot x y)) 3) (hypot x y) (* (pow (sqrt (cbrt (hypot x y))) 3) (sqrt (hypot x y))) (pow (sqrt (hypot x y)) 5/2) (pow (sqrt (hypot x y)) 4) (pow (sqrt (hypot x y)) 5/2) (pow (sqrt (hypot x y)) 4) (hypot x y) (hypot x y) (hypot x y) (* (pow (sqrt (cbrt (hypot x y))) 3) (sqrt (hypot x y))) (pow (sqrt (hypot x y)) 5/2) (pow (sqrt (hypot x y)) 4) (pow (sqrt (hypot x y)) 5/2) (pow (sqrt (hypot x y)) 4) (pow (sqrt (hypot x y)) 3) (* (sqrt (pow (sqrt (hypot x y)) 3)) (sqrt (hypot x y))) (pow (sqrt (hypot x y)) 4) (pow (sqrt (hypot x y)) 5/2) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (* (pow x 2) y) (pow y 2)))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ (/ +nan.0 x) x)))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ (/ +nan.0 x) x)))) (fma y y (pow x 2)) (fma y y (pow x 2)) (fma y y (pow x 2)) 0.484 * * * [progress]: adding candidates to table 0.609 * [progress]: [Phase 3 of 3] Extracting. 0.609 * * [regime]: Finding splitpoints for: (# #) 0.609 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 0.609 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.620 * * * * [regimes]: Trying to branch on y from (# #) 0.634 * * * * [regimes]: Trying to branch on x from (# #) 0.645 * * * [regime]: Found split indices: #