15.092 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.011 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (sqrt (+ (* x x) (* y y))) 0.017 * * [simplify]: iteration 0 : 9 enodes (cost 1 ) 0.020 * * [simplify]: iteration 1 : 11 enodes (cost 1 ) 0.022 * * [simplify]: iteration 2 : 11 enodes (cost 1 ) 0.022 * [simplify]: Simplified to: (hypot x y) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.036 * * * [progress]: generating rewritten candidates 0.036 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.037 * * * [progress]: generating series expansions 0.037 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.037 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.038 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.038 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.038 * [taylor]: Taking taylor expansion of (* x x) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (* y y) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.039 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.039 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.039 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.039 * [taylor]: Taking taylor expansion of (* x x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (* y y) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.041 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.041 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.041 * [taylor]: Taking taylor expansion of (* x x) in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of (* y y) in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.041 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of 0 in y 0.044 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.044 * [taylor]: Taking taylor expansion of 1/2 in y 0.044 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 0.047 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.047 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.047 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.047 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.047 * [taylor]: Taking taylor expansion of x in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.048 * [taylor]: Taking taylor expansion of x in y 0.048 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.048 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.051 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.051 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 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 x in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.058 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.058 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.058 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.058 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.058 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of 1 in y 0.062 * [taylor]: Taking taylor expansion of 0 in y 0.065 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.065 * [taylor]: Taking taylor expansion of 1/2 in y 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of 0 in y 0.070 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 0.070 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.070 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.070 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.070 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.070 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.070 * [taylor]: Taking taylor expansion of -1 in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.070 * [taylor]: Taking taylor expansion of -1 in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.070 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.070 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.070 * [taylor]: Taking taylor expansion of -1 in y 0.070 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.071 * [taylor]: Taking taylor expansion of -1 in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.074 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.074 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.074 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.074 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.074 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.074 * [taylor]: Taking taylor expansion of -1 in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.075 * [taylor]: Taking taylor expansion of -1 in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.075 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.075 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.075 * [taylor]: Taking taylor expansion of -1 in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.075 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.075 * [taylor]: Taking taylor expansion of -1 in x 0.075 * [taylor]: Taking taylor expansion of y in x 0.078 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.078 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.078 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.078 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.078 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.078 * [taylor]: Taking taylor expansion of -1 in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.079 * [taylor]: Taking taylor expansion of -1 in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.079 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.079 * [taylor]: Taking taylor expansion of -1 in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.079 * [taylor]: Taking taylor expansion of -1 in x 0.079 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of 1 in y 0.082 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.085 * [taylor]: Taking taylor expansion of 1/2 in y 0.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.091 * * * [progress]: simplifying candidates 0.091 * [simplify]: Simplifying using # : (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) 0.095 * * [simplify]: iteration 0 : 22 enodes (cost 27 ) 0.097 * * [simplify]: iteration 1 : 25 enodes (cost 24 ) 0.100 * * [simplify]: iteration 2 : 29 enodes (cost 24 ) 0.103 * * [simplify]: iteration 3 : 34 enodes (cost 24 ) 0.106 * * [simplify]: iteration 4 : 53 enodes (cost 24 ) 0.109 * * [simplify]: iteration 5 : 107 enodes (cost 24 ) 0.119 * * [simplify]: iteration 6 : 513 enodes (cost 24 ) 0.145 * * [simplify]: iteration 7 : 1693 enodes (cost 24 ) 0.279 * * [simplify]: iteration 8 : 5001 enodes (cost 24 ) 0.280 * [simplify]: Simplified to: (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) 0.280 * * * [progress]: adding candidates to table 0.307 * * [progress]: iteration 2 / 4 0.307 * * * [progress]: picking best candidate 0.310 * * * * [pick]: Picked # 0.310 * * * [progress]: localizing error 0.316 * * * [progress]: generating rewritten candidates 0.316 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.322 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.323 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.323 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.327 * * * [progress]: generating series expansions 0.327 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.327 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 0.327 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.327 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.327 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.327 * [taylor]: Taking taylor expansion of (* x x) in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.327 * [taylor]: Taking taylor expansion of (* y y) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.329 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.329 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.329 * [taylor]: Taking taylor expansion of (* x x) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.329 * [taylor]: Taking taylor expansion of (* y y) in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.331 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.331 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.331 * [taylor]: Taking taylor expansion of (* x x) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (* y y) in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.334 * [taylor]: Taking taylor expansion of 1/2 in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 0.339 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.339 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.339 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.339 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.339 * [taylor]: Taking taylor expansion of x in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.339 * [taylor]: Taking taylor expansion of x in y 0.339 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.343 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.343 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.343 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.347 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.347 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.347 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.351 * [taylor]: Taking taylor expansion of 1 in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.353 * [taylor]: Taking taylor expansion of 1/2 in y 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.359 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 0.359 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 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 y 0.359 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.359 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.359 * [taylor]: Taking taylor expansion of -1 in y 0.359 * [taylor]: Taking taylor expansion of x in y 0.359 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.359 * [taylor]: Taking taylor expansion of -1 in y 0.359 * [taylor]: Taking taylor expansion of x in y 0.359 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.359 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.359 * [taylor]: Taking taylor expansion of -1 in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.360 * [taylor]: Taking taylor expansion of -1 in y 0.360 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.363 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.363 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.363 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.363 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.363 * [taylor]: Taking taylor expansion of -1 in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.364 * [taylor]: Taking taylor expansion of -1 in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.364 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.364 * [taylor]: Taking taylor expansion of -1 in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.364 * [taylor]: Taking taylor expansion of -1 in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.367 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.367 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.367 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.367 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.367 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.367 * [taylor]: Taking taylor expansion of -1 in x 0.367 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.368 * [taylor]: Taking taylor expansion of -1 in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.368 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.368 * [taylor]: Taking taylor expansion of -1 in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.368 * [taylor]: Taking taylor expansion of -1 in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.377 * [taylor]: Taking taylor expansion of 1 in y 0.377 * [taylor]: Taking taylor expansion of 0 in y 0.380 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.380 * [taylor]: Taking taylor expansion of 1/2 in y 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.384 * [taylor]: Taking taylor expansion of 0 in y 0.385 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.386 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 0.386 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.386 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.386 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.386 * [taylor]: Taking taylor expansion of (* x x) in y 0.386 * [taylor]: Taking taylor expansion of x in y 0.386 * [taylor]: Taking taylor expansion of x in y 0.386 * [taylor]: Taking taylor expansion of (* y y) in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.387 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.387 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.387 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.387 * [taylor]: Taking taylor expansion of (* x x) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (* y y) in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.389 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.389 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.389 * [taylor]: Taking taylor expansion of (* x x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of (* y y) in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.390 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.392 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.392 * [taylor]: Taking taylor expansion of 1/2 in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of 0 in y 0.395 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 0.395 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 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 y 0.395 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.395 * [taylor]: Taking taylor expansion of x in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.395 * [taylor]: Taking taylor expansion of x in y 0.395 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.395 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.395 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.401 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.401 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.401 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.401 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.402 * [taylor]: Taking taylor expansion of y in x 0.402 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.402 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.405 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.405 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.405 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of 1 in y 0.408 * [taylor]: Taking taylor expansion of 0 in y 0.411 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.411 * [taylor]: Taking taylor expansion of 1/2 in y 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of 0 in y 0.417 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 0.417 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.417 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.417 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.417 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.417 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.417 * [taylor]: Taking taylor expansion of -1 in y 0.417 * [taylor]: Taking taylor expansion of x in y 0.417 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.417 * [taylor]: Taking taylor expansion of -1 in y 0.417 * [taylor]: Taking taylor expansion of x in y 0.417 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.417 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.417 * [taylor]: Taking taylor expansion of -1 in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.418 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.418 * [taylor]: Taking taylor expansion of -1 in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.421 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.421 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.421 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.421 * [taylor]: Taking taylor expansion of -1 in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.421 * [taylor]: Taking taylor expansion of -1 in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.422 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.422 * [taylor]: Taking taylor expansion of -1 in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.422 * [taylor]: Taking taylor expansion of -1 in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.425 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.425 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.425 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.425 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.425 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.425 * [taylor]: Taking taylor expansion of -1 in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.425 * [taylor]: Taking taylor expansion of -1 in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.426 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.426 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.426 * [taylor]: Taking taylor expansion of -1 in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.426 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.426 * [taylor]: Taking taylor expansion of -1 in x 0.426 * [taylor]: Taking taylor expansion of y in x 0.429 * [taylor]: Taking taylor expansion of 1 in y 0.429 * [taylor]: Taking taylor expansion of 0 in y 0.432 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.432 * [taylor]: Taking taylor expansion of 1/2 in y 0.432 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.437 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.437 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0 0.437 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.438 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.438 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.438 * [taylor]: Taking taylor expansion of (* x x) in y 0.438 * [taylor]: Taking taylor expansion of x in y 0.438 * [taylor]: Taking taylor expansion of x in y 0.438 * [taylor]: Taking taylor expansion of (* y y) in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.439 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.439 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.439 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.439 * [taylor]: Taking taylor expansion of (* x x) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (* y y) in x 0.439 * [taylor]: Taking taylor expansion of y in x 0.439 * [taylor]: Taking taylor expansion of y in x 0.441 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.441 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.441 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.441 * [taylor]: Taking taylor expansion of (* x x) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (* y y) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.442 * [taylor]: Taking taylor expansion of y in y 0.442 * [taylor]: Taking taylor expansion of 0 in y 0.444 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.444 * [taylor]: Taking taylor expansion of 1/2 in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.447 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0 0.447 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.447 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.447 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.447 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.447 * [taylor]: Taking taylor expansion of x in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.447 * [taylor]: Taking taylor expansion of x in y 0.447 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.448 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.448 * [taylor]: Taking taylor expansion of y in y 0.451 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.451 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.451 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.451 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.451 * [taylor]: Taking taylor expansion of y in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.452 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.455 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.455 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.455 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.467 * [taylor]: Taking taylor expansion of 1 in y 0.467 * [taylor]: Taking taylor expansion of 0 in y 0.470 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.470 * [taylor]: Taking taylor expansion of 1/2 in y 0.470 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.474 * [taylor]: Taking taylor expansion of 0 in y 0.476 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0 0.476 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.476 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.476 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.476 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.476 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.476 * [taylor]: Taking taylor expansion of -1 in y 0.476 * [taylor]: Taking taylor expansion of x in y 0.476 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.476 * [taylor]: Taking taylor expansion of -1 in y 0.476 * [taylor]: Taking taylor expansion of x in y 0.476 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y 0.476 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.476 * [taylor]: Taking taylor expansion of -1 in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.476 * [taylor]: Taking taylor expansion of -1 in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.480 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.480 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.480 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.480 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.480 * [taylor]: Taking taylor expansion of -1 in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.480 * [taylor]: Taking taylor expansion of -1 in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.481 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.481 * [taylor]: Taking taylor expansion of -1 in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.481 * [taylor]: Taking taylor expansion of -1 in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.484 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.484 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.484 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.484 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.484 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.484 * [taylor]: Taking taylor expansion of -1 in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.484 * [taylor]: Taking taylor expansion of -1 in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.485 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.485 * [taylor]: Taking taylor expansion of -1 in x 0.485 * [taylor]: Taking taylor expansion of y in x 0.485 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.485 * [taylor]: Taking taylor expansion of -1 in x 0.485 * [taylor]: Taking taylor expansion of y in x 0.488 * [taylor]: Taking taylor expansion of 1 in y 0.488 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.491 * [taylor]: Taking taylor expansion of 1/2 in y 0.491 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.496 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.496 * [approximate]: Taking taylor expansion of (sqrt (hypot x y)) in (x y) around 0 0.496 * [taylor]: Taking taylor expansion of (sqrt (hypot x y)) in y 0.497 * [taylor]: Taking taylor expansion of (hypot x y) in y 0.497 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.497 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y 0.497 * [taylor]: Taking taylor expansion of (* x x) in y 0.497 * [taylor]: Taking taylor expansion of x in y 0.497 * [taylor]: Taking taylor expansion of x in y 0.497 * [taylor]: Taking taylor expansion of (* y y) in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of (sqrt (hypot x y)) in x 0.498 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.498 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.498 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.498 * [taylor]: Taking taylor expansion of (* x x) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (* y y) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of (sqrt (hypot x y)) in x 0.500 * [taylor]: Taking taylor expansion of (hypot x y) in x 0.500 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y))) 0.500 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x 0.500 * [taylor]: Taking taylor expansion of (* x x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (* y y) in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.501 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of 0 in y 0.505 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow y 3)))) in y 0.505 * [taylor]: Taking taylor expansion of 1/4 in y 0.505 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow y 3))) in y 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.505 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.514 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in (x y) around 0 0.514 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in y 0.514 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y 0.515 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.515 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y 0.515 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.515 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.515 * [taylor]: Taking taylor expansion of x in y 0.515 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.515 * [taylor]: Taking taylor expansion of x in y 0.515 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y 0.515 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.515 * [taylor]: Taking taylor expansion of y in y 0.515 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.515 * [taylor]: Taking taylor expansion of y in y 0.521 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in x 0.521 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 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 x 0.522 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.522 * [taylor]: Taking taylor expansion of y in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.522 * [taylor]: Taking taylor expansion of y in x 0.526 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 x) (/ 1 y))) in x 0.526 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x 0.527 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) 0.527 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x 0.527 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.527 * [taylor]: Taking taylor expansion of y in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.527 * [taylor]: Taking taylor expansion of y in x 0.531 * [taylor]: Taking taylor expansion of 0 in y 0.532 * [taylor]: Taking taylor expansion of +nan.0 in y 0.534 * [taylor]: Taking taylor expansion of +nan.0 in y 0.538 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)) in y 0.538 * [taylor]: Taking taylor expansion of +nan.0 in y 0.538 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2))) +nan.0) in y 0.538 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.538 * [taylor]: Taking taylor expansion of 1/2 in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.539 * [taylor]: Taking taylor expansion of +nan.0 in y 0.545 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.545 * [taylor]: Taking taylor expansion of +nan.0 in y 0.545 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.545 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.545 * [taylor]: Taking taylor expansion of +nan.0 in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.545 * [taylor]: Taking taylor expansion of +nan.0 in y 0.560 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in (x y) around 0 0.560 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in y 0.560 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y 0.560 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.560 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y 0.560 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.560 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.560 * [taylor]: Taking taylor expansion of -1 in y 0.560 * [taylor]: Taking taylor expansion of x in y 0.560 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.560 * [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 0.561 * [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 0.565 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in x 0.566 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x 0.566 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y)))) 0.566 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x 0.566 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.566 * [taylor]: Taking taylor expansion of -1 in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.566 * [taylor]: Taking taylor expansion of -1 in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.566 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.567 * [taylor]: Taking taylor expansion of -1 in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.567 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.567 * [taylor]: Taking taylor expansion of -1 in x 0.567 * [taylor]: Taking taylor expansion of y in x 0.571 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 x) (/ -1 y))) in x 0.571 * [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 0.572 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x 0.572 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.572 * [taylor]: Taking taylor expansion of -1 in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.572 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.572 * [taylor]: Taking taylor expansion of -1 in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.576 * [taylor]: Taking taylor expansion of 0 in y 0.576 * [taylor]: Taking taylor expansion of +nan.0 in y 0.580 * [taylor]: Taking taylor expansion of +nan.0 in y 0.585 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow y 2))) +nan.0)) in y 0.585 * [taylor]: Taking taylor expansion of +nan.0 in y 0.585 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2))) +nan.0) in y 0.585 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.585 * [taylor]: Taking taylor expansion of 1/2 in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.585 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.585 * [taylor]: Taking taylor expansion of +nan.0 in y 0.591 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.591 * [taylor]: Taking taylor expansion of +nan.0 in y 0.591 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.591 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.592 * [taylor]: Taking taylor expansion of +nan.0 in y 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.592 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.592 * [taylor]: Taking taylor expansion of +nan.0 in y 0.600 * * * [progress]: simplifying candidates 0.601 * [simplify]: Simplifying using # : (expm1 (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (log1p (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot x y) (hypot x y)) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (hypot x y) (hypot x y)) (+ 1 1) (+ (log (sqrt (hypot x y))) (log (sqrt (hypot x y)))) (log (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (exp (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (* (* (* (sqrt (hypot x y)) (sqrt (hypot x y))) (sqrt (hypot x y))) (* (* (sqrt (hypot x y)) (sqrt (hypot x y))) (sqrt (hypot x y)))) (* (cbrt (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (cbrt (* (sqrt (hypot x y)) (sqrt (hypot x y))))) (cbrt (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (* (* (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (* (hypot x y) (hypot x y)) (sqrt (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (sqrt (* (sqrt (hypot x y)) (sqrt (hypot x y)))) (* (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))))) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (* (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (sqrt (cbrt (hypot x y))) (sqrt (cbrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* 1 1) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot x y)) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y))))) (* (sqrt (hypot x y)) (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y))))) (* (sqrt (hypot x y)) (sqrt (sqrt (hypot x y)))) (* (sqrt (hypot x y)) (sqrt 1)) (* (sqrt (hypot x y)) (sqrt (sqrt (hypot x y)))) (* (sqrt (hypot x y)) 1) (* (cbrt (sqrt (hypot x y))) (sqrt (hypot x y))) (* (sqrt (cbrt (hypot x y))) (sqrt (hypot x y))) (* (sqrt (sqrt (hypot x y))) (sqrt (hypot x y))) (* (sqrt (hypot x y)) (sqrt (hypot x y))) (* (sqrt (sqrt (hypot x y))) (sqrt (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)) (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 (sqrt (hypot x y))) (log1p (sqrt (hypot x y))) (log (sqrt (hypot x y))) (exp (sqrt (hypot x y))) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (cbrt (sqrt (hypot x y))) (* (* (sqrt (hypot x y)) (sqrt (hypot x y))) (sqrt (hypot x y))) (sqrt (* (cbrt (hypot x y)) (cbrt (hypot x y)))) (sqrt (cbrt (hypot x y))) (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))) (sqrt 1) (sqrt (hypot x y)) (/ 1 2) (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))) y x (* -1 x) y x (* -1 x) y x (* -1 x) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow y 2)) (- (* +nan.0 y)))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.607 * * [simplify]: iteration 0 : 164 enodes (cost 296 ) 0.614 * * [simplify]: iteration 1 : 607 enodes (cost 256 ) 0.645 * * [simplify]: iteration 2 : 3733 enodes (cost 243 ) 0.880 * * [simplify]: iteration 3 : 5001 enodes (cost 243 ) 0.883 * [simplify]: Simplified to: (expm1 (hypot x y)) (log1p (hypot x y)) 1 1 2 1 1 (* (hypot x y) (hypot x y)) (hypot x y) (* (hypot x y) (hypot x y)) 2 (log (hypot x y)) (log (hypot x y)) (exp (hypot x y)) (pow (hypot x y) 3) (* (cbrt (hypot x y)) (cbrt (hypot x y))) (cbrt (hypot x y)) (pow (hypot x y) 3) (* (hypot x y) (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (pow (cbrt (sqrt (hypot x y))) 4) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (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 (hypot x y) (sqrt (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) 1 (hypot x y) (sqrt (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) (sqrt (hypot x y)) 1 2 1 (* (pow (cbrt (sqrt (hypot x y))) 4) (cbrt (sqrt (hypot x y)))) (* (fabs (cbrt (hypot x y))) (sqrt (hypot x y))) (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (hypot x y)) (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (hypot x y)) (pow (cbrt (sqrt (hypot x y))) 4) (* (sqrt (cbrt (hypot x y))) (sqrt (hypot x y))) (pow (sqrt (sqrt (hypot x y))) 3) (hypot x y) (pow (sqrt (sqrt (hypot x y))) 3) (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)) (expm1 (sqrt (hypot x y))) (log1p (sqrt (hypot x y))) (log (sqrt (hypot x y))) (exp (sqrt (hypot x y))) (* (cbrt (sqrt (hypot x y))) (cbrt (sqrt (hypot x y)))) (cbrt (sqrt (hypot x y))) (pow (sqrt (hypot x y)) 3) (fabs (cbrt (hypot x y))) (sqrt (cbrt (hypot x y))) (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))) 1 (sqrt (hypot x y)) 1/2 (sqrt (sqrt (hypot x y))) (sqrt (sqrt (hypot x y))) y x (* -1 x) y x (* -1 x) y x (* -1 x) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow y 2) y))) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) (- (- (/ +nan.0 x) +nan.0) (/ (/ +nan.0 x) x)) 0.884 * * * [progress]: adding candidates to table 1.020 * * [progress]: iteration 3 / 4 1.020 * * * [progress]: picking best candidate 1.022 * * * * [pick]: Picked # 1.022 * * * [progress]: localizing error 1.027 * * * [progress]: generating rewritten candidates 1.027 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.045 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.066 * * * [progress]: generating series expansions 1.066 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.066 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.066 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.066 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.066 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.066 * [taylor]: Taking taylor expansion of x in y 1.066 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.066 * [taylor]: Taking taylor expansion of y in y 1.068 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.068 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.068 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.068 * [taylor]: Taking taylor expansion of x in x 1.068 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.068 * [taylor]: Taking taylor expansion of y in x 1.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.069 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.069 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.069 * [taylor]: Taking taylor expansion of y in x 1.069 * [taylor]: Taking taylor expansion of y in y 1.069 * [taylor]: Taking taylor expansion of 0 in y 1.071 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.071 * [taylor]: Taking taylor expansion of 1/2 in y 1.071 * [taylor]: Taking taylor expansion of y in y 1.073 * [taylor]: Taking taylor expansion of 0 in y 1.074 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.074 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.074 * [taylor]: Taking taylor expansion of x in y 1.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.075 * [taylor]: Taking taylor expansion of y in y 1.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.083 * [taylor]: Taking taylor expansion of x in x 1.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.084 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.084 * [taylor]: Taking taylor expansion of y in x 1.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.086 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.086 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.086 * [taylor]: Taking taylor expansion of x in x 1.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.087 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.087 * [taylor]: Taking taylor expansion of y in x 1.089 * [taylor]: Taking taylor expansion of 1 in y 1.089 * [taylor]: Taking taylor expansion of 0 in y 1.091 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.092 * [taylor]: Taking taylor expansion of 1/2 in y 1.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.092 * [taylor]: Taking taylor expansion of y in y 1.095 * [taylor]: Taking taylor expansion of 0 in y 1.097 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.097 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.097 * [taylor]: Taking taylor expansion of x in y 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.097 * [taylor]: Taking taylor expansion of y in y 1.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.101 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.101 * [taylor]: Taking taylor expansion of y in x 1.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.103 * [taylor]: Taking taylor expansion of x in x 1.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.104 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.104 * [taylor]: Taking taylor expansion of y in x 1.106 * [taylor]: Taking taylor expansion of 1 in y 1.106 * [taylor]: Taking taylor expansion of 0 in y 1.108 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.108 * [taylor]: Taking taylor expansion of 1/2 in y 1.108 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.108 * [taylor]: Taking taylor expansion of y in y 1.112 * [taylor]: Taking taylor expansion of 0 in y 1.113 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.113 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.113 * [taylor]: Taking taylor expansion of x in y 1.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.113 * [taylor]: Taking taylor expansion of y in y 1.114 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.114 * [taylor]: Taking taylor expansion of y in x 1.114 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.114 * [taylor]: Taking taylor expansion of y in x 1.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.114 * [taylor]: Taking taylor expansion of y in y 1.114 * [taylor]: Taking taylor expansion of 0 in y 1.115 * [taylor]: Taking taylor expansion of 1 in y 1.117 * [taylor]: Taking taylor expansion of 0 in y 1.119 * [taylor]: Taking taylor expansion of 0 in y 1.121 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.121 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.121 * [taylor]: Taking taylor expansion of x in y 1.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.122 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.122 * [taylor]: Taking taylor expansion of y in y 1.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.123 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.123 * [taylor]: Taking taylor expansion of y in x 1.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.124 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.124 * [taylor]: Taking taylor expansion of y in x 1.124 * [taylor]: Taking taylor expansion of 1 in y 1.126 * [taylor]: Taking taylor expansion of 0 in y 1.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.127 * [taylor]: Taking taylor expansion of y in y 1.129 * [taylor]: Taking taylor expansion of 0 in y 1.132 * [taylor]: Taking taylor expansion of 0 in y 1.134 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.134 * [taylor]: Taking taylor expansion of x in y 1.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.134 * [taylor]: Taking taylor expansion of y in y 1.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.135 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.135 * [taylor]: Taking taylor expansion of y in x 1.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.136 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.136 * [taylor]: Taking taylor expansion of y in x 1.137 * [taylor]: Taking taylor expansion of 1 in y 1.138 * [taylor]: Taking taylor expansion of 0 in y 1.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.139 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.139 * [taylor]: Taking taylor expansion of y in y 1.142 * [taylor]: Taking taylor expansion of 0 in y 1.145 * [taylor]: Taking taylor expansion of 0 in y 1.146 * * * [progress]: simplifying candidates 1.147 * [simplify]: Simplifying using # : (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (* 1 1)) (sqrt (+ (* x x) (* y y))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) y x (* -1 x) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 1.152 * * [simplify]: iteration 0 : 133 enodes (cost 191 ) 1.158 * * [simplify]: iteration 1 : 559 enodes (cost 178 ) 1.174 * * [simplify]: iteration 2 : 1689 enodes (cost 173 ) 1.242 * * [simplify]: iteration 3 : 5001 enodes (cost 171 ) 1.244 * [simplify]: Simplified to: (expm1 (sqrt (+ (* x x) (* y y)))) (log1p (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (pow (hypot x y) 3) (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) 1 (hypot x y) 1 (hypot x y) 1 (hypot x y) 1 (hypot x y) 1 (hypot x y) 1 (hypot x y) (hypot (pow y 3) (pow x 3)) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) 1/2 (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (expm1 (+ (* x x) (* y y))) (log1p (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (hypot x y) 6) (hypot x y) (hypot x y) (fma y (pow y 5) (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* 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) (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 1.245 * * * [progress]: adding candidates to table 1.354 * [progress]: [Phase 3 of 3] Extracting. 1.354 * * [regime]: Finding splitpoints for: (# # #) 1.355 * * * [regime-changes]: Trying 6 branch expressions: ((* y y) (* x x) (+ (* x x) (* y y)) (sqrt (+ (* x x) (* y y))) y x) 1.355 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 1.374 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 1.387 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # #) 1.401 * * * * [regimes]: Trying to branch on (sqrt (+ (* x x) (* y y))) from (# # #) 1.423 * * * * [regimes]: Trying to branch on y from (# # #) 1.439 * * * * [regimes]: Trying to branch on x from (# # #) 1.453 * * * [regime]: Found split indices: #