4.147 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying using # : (+ (* x x) (* y y)) 0.033 * * [simplify]: iteration 0 : 7 enodes (cost 2 ) 0.034 * * [simplify]: iteration 1 : 8 enodes (cost 2 ) 0.036 * * [simplify]: iteration 2 : 8 enodes (cost 2 ) 0.036 * [simplify]: Simplified to: (fma x x (* y y)) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.042 * * * * [pick]: Picked # 0.042 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.050 * * * [progress]: generating series expansions 0.050 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.050 * [approximate]: Taking taylor expansion of (fma x x (pow y 2)) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y 0.050 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.050 * [taylor]: Taking taylor expansion of (* x x) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.050 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.050 * [taylor]: Taking taylor expansion of (* x x) in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of x in x 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.050 * [taylor]: Taking taylor expansion of y in x 0.050 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x 0.051 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2)) 0.051 * [taylor]: Taking taylor expansion of (* x x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of 1 in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.060 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0 0.060 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y 0.060 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.060 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.061 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.061 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.061 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.062 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.062 * [taylor]: Taking taylor expansion of y in x 0.062 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x 0.062 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2))) 0.062 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.063 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of 1 in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.080 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in (x y) around 0 0.080 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y 0.081 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.081 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.081 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.081 * [taylor]: Taking taylor expansion of -1 in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.081 * [taylor]: Taking taylor expansion of -1 in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.082 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.082 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.082 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.082 * [taylor]: Taking taylor expansion of -1 in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.082 * [taylor]: Taking taylor expansion of -1 in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x 0.083 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2))) 0.083 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.083 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.083 * [taylor]: Taking taylor expansion of -1 in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.084 * [taylor]: Taking taylor expansion of -1 in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of 1 in y 0.087 * [taylor]: Taking taylor expansion of 0 in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of 0 in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.096 * * * [progress]: simplifying candidates 0.096 * [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)) 0.099 * * [simplify]: iteration 0 : 26 enodes (cost 43 ) 0.100 * * [simplify]: iteration 1 : 76 enodes (cost 34 ) 0.102 * * [simplify]: iteration 2 : 218 enodes (cost 34 ) 0.106 * * [simplify]: iteration 3 : 767 enodes (cost 34 ) 0.131 * * [simplify]: iteration 4 : 5001 enodes (cost 34 ) 0.131 * [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)) 0.131 * * * [progress]: adding candidates to table 0.158 * * [progress]: iteration 2 / 4 0.158 * * * [progress]: picking best candidate 0.160 * * * * [pick]: Picked # 0.160 * * * [progress]: localizing error 0.163 * * * [progress]: generating rewritten candidates 0.163 * * * [progress]: generating series expansions 0.163 * * * [progress]: simplifying candidates 0.163 * [simplify]: Simplifying using # : 0.165 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.165 * [simplify]: Simplified to: 0.166 * * * [progress]: adding candidates to table 0.166 * [progress]: [Phase 3 of 3] Extracting. 0.167 * [simplify]: Simplifying using # : (* (hypot x y) (hypot x y)) 0.168 * * [simplify]: iteration 0 : 4 enodes (cost 3 ) 0.168 * [simplify]: Simplified to: (* (hypot x y) (hypot x y)) 0.689 * [regime-testing]: End program error score: 0.010001250156269533