11.397 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (+ (* x x) (* y y)) 0.022 * * [simplify]: iteration 0 : 7 enodes (cost 2 ) 0.023 * * [simplify]: iteration 1 : 8 enodes (cost 2 ) 0.025 * * [simplify]: iteration 2 : 8 enodes (cost 2 ) 0.025 * [simplify]: Simplified to: (fma x x (* y y)) 0.027 * * [progress]: iteration 1 / 4 0.027 * * * [progress]: picking best candidate 0.028 * * * * [pick]: Picked # 0.028 * * * [progress]: localizing error 0.032 * * * [progress]: generating rewritten candidates 0.032 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.033 * * * [progress]: generating series expansions 0.033 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.033 * [approximate]: Taking taylor expansion of (fma x x (pow y 2)) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 0.033 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.033 * [taylor]: Taking taylor expansion of (* x x) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [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 0.034 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.034 * [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 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [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 0.063 * [taylor]: Taking taylor expansion of 0 in y 0.065 * * * [progress]: simplifying candidates 0.065 * [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 ) 0.069 * * [simplify]: iteration 1 : 76 enodes (cost 34 ) 0.071 * * [simplify]: iteration 2 : 218 enodes (cost 34 ) 0.075 * * [simplify]: iteration 3 : 767 enodes (cost 34 ) 0.100 * * [simplify]: iteration 4 : 5001 enodes (cost 34 ) 0.100 * [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)) 0.100 * * * [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 0.128 * * * [progress]: generating rewritten candidates 0.128 * * * * [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))) 0.134 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.134 * [taylor]: Taking taylor expansion of (* x x) in x 0.134 * [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 0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.145 * [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 0.148 * [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 0.151 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.151 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.151 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.151 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 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 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 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.166 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in (x y) around 0 0.166 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in y 0.167 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.167 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.167 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.167 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.167 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.167 * [taylor]: Taking taylor expansion of -1 in y 0.167 * [taylor]: Taking taylor expansion of x in y 0.167 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.167 * [taylor]: Taking taylor expansion of -1 in y 0.167 * [taylor]: Taking taylor expansion of x in y 0.167 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.167 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.167 * [taylor]: Taking taylor expansion of -1 in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.167 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.167 * [taylor]: Taking taylor expansion of -1 in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.170 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 0.170 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 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 x 0.170 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.170 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.170 * [taylor]: Taking taylor expansion of -1 in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.170 * [taylor]: Taking taylor expansion of -1 in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.171 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.171 * [taylor]: Taking taylor expansion of -1 in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.171 * [taylor]: Taking taylor expansion of -1 in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.173 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 x) (/ -1 y)) 2) in x 0.174 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.174 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.174 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.174 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 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 x) in x 0.174 * [taylor]: Taking taylor expansion of -1 in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.175 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.175 * [taylor]: Taking taylor expansion of -1 in x 0.175 * [taylor]: Taking taylor expansion of y in x 0.175 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.175 * [taylor]: Taking taylor expansion of -1 in x 0.175 * [taylor]: Taking taylor expansion of y in x 0.179 * [taylor]: Taking taylor expansion of 1 in y 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.205 * * * [progress]: simplifying candidates 0.206 * [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)) 0.210 * * [simplify]: iteration 0 : 78 enodes (cost 119 ) 0.214 * * [simplify]: iteration 1 : 284 enodes (cost 98 ) 0.221 * * [simplify]: iteration 2 : 1238 enodes (cost 89 ) 0.254 * * [simplify]: iteration 3 : 5001 enodes (cost 86 ) 0.256 * [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)) 0.256 * * * [progress]: adding candidates to table 0.310 * [progress]: [Phase 3 of 3] Extracting. 0.310 * * [regime]: Finding splitpoints for: (# #) 0.310 * * * [regime-changes]: Trying 3 branch expressions: ((* y y) y x) 0.310 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.329 * * * * [regimes]: Trying to branch on y from (# #) 0.339 * * * * [regimes]: Trying to branch on x from (# #) 0.350 * * * [regime]: Found split indices: #