37.566 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 0.028 * * [simplify]: iteration 0 : 15 enodes (cost 7 ) 0.029 * * [simplify]: iteration 1 : 22 enodes (cost 7 ) 0.031 * * [simplify]: iteration 2 : 24 enodes (cost 7 ) 0.032 * * [simplify]: iteration 3 : 24 enodes (cost 7 ) 0.032 * [simplify]: Simplified to: (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.056 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.064 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 0.069 * * * [progress]: generating series expansions 0.069 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.070 * [approximate]: Approximating (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.079 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.081 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 0.083 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.083 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 0.083 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 0.089 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 0.092 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 0.095 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 0.097 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 0.103 * [approximate]: Approximating (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.125 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.127 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.127 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.133 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.138 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.138 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.138 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.143 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.147 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.150 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.151 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.159 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.176 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.176 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.181 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.181 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.181 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.185 * [approximate]: Approximating (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0 0.206 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.208 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.208 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.213 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.218 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.218 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.218 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.224 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.227 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.231 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.232 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.239 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 0.255 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.256 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.260 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.260 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.261 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 0.264 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.265 * [approximate]: Approximating (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 0.265 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.265 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.267 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.267 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.267 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.270 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 0.270 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.270 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.272 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 0.274 * [approximate]: Approximating (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.281 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.283 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.285 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.287 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.287 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.290 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.292 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.292 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.292 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.296 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.298 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.299 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.299 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.300 * [approximate]: Approximating (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 0.304 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.306 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.308 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.310 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.310 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.313 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.315 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.315 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.315 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.319 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 0.321 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.322 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.322 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 0.323 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 0.323 * [approximate]: Approximating (+ (pow x 2) (pow y 2)) in (x y) around 0 0.323 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.324 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.325 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.327 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.329 * [approximate]: Approximating (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.343 * [approximate]: Approximating (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.358 * * * [progress]: simplifying candidates 0.359 * [simplify]: Simplifying using # : (log (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (exp (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (* (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (* (* (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (sqrt (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1)) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0))) (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0))) (sqrt (/ 1 1)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt 1) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0) (/ 1 2) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (- (log (+ (+ (* x x) (* y y)) (* z z))) (log 3.0)) (log (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (exp (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (* (* 3.0 3.0) 3.0)) (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (* (* (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (neg (+ (+ (* x x) (* y y)) (* z z))) (neg 3.0) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)) (/ 1 1) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ 1 3.0) (/ 3.0 (+ (+ (* x x) (* y y)) (* z z))) (/ (+ (+ (* x x) (* y y)) (* z z)) (* (cbrt 3.0) (cbrt 3.0))) (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) 1) (/ 3.0 (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (+ (+ (* x x) (* y y)) (* z z))) (* 3.0 (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (* 3.0 (- (+ (* x x) (* y y)) (* z z))) (* (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)) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) (+ (* 0.3333333333333333 (pow x 2)) (+ (* 0.3333333333333333 (pow y 2)) (* 0.3333333333333333 (pow z 2)))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.364 * * [simplify]: iteration 0 : 294 enodes (cost 707 ) 0.369 * * [simplify]: iteration 1 : 1224 enodes (cost 644 ) 0.388 * * [simplify]: iteration 2 : 4391 enodes (cost 642 ) 0.473 * * [simplify]: iteration 3 : 5001 enodes (cost 640 ) 0.476 * [simplify]: Simplified to: (log (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (exp (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (* (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (pow (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 3) (fabs (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (fabs (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (fabs (/ 1 (cbrt 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0))) (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0))) 1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0) 1/2 (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (log (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (log (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (exp (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (pow (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) 3) (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (pow (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) 3) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (neg (+ (+ (* x x) (* y y)) (* z z))) (neg 3.0) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0)) (/ 1 (sqrt 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)) 1 (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ 1 3.0) (/ 3.0 (+ (+ (* x x) (* y y)) (* z z))) (/ (+ (+ (* x x) (* y y)) (* z z)) (* (cbrt 3.0) (cbrt 3.0))) (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)) (+ (+ (* x x) (* y y)) (* z z)) (/ 3.0 (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (+ (+ (* x x) (* y y)) (* z z))) (* (+ (* (pow z 2) (- (pow z 2) (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))) 3.0) (* 3.0 (- (+ (* x x) (* y y)) (* z z))) (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 (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (neg (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (* 0.3333333333333333 (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.477 * * * [progress]: adding candidates to table 0.946 * * [progress]: iteration 2 / 4 0.946 * * * [progress]: picking best candidate 0.966 * * * * [pick]: Picked # 0.966 * * * [progress]: localizing error 0.977 * * * [progress]: generating rewritten candidates 0.977 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.982 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.995 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 1.001 * * * [progress]: generating series expansions 1.001 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.001 * [approximate]: Approximating (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 1.006 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 1.007 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 1.007 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 1.007 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 1.007 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 1.010 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 1.010 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 1.011 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 1.013 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 1.014 * [approximate]: Approximating (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 1.029 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.029 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.029 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.031 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.034 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.034 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.034 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.064 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.066 * [approximate]: Approximating (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 1.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.117 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.118 * [approximate]: Approximating (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0 1.126 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 1.128 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 1.130 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 1.130 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 1.130 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 1.136 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y 1.139 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 1.141 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 1.144 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z 1.150 * [approximate]: Approximating (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0 1.168 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 1.170 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 1.170 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.176 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 1.181 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.181 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.181 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.186 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 1.192 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.196 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.196 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.204 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 1.220 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.220 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.225 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.225 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.226 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.230 * [approximate]: Approximating (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0 1.248 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 1.249 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 1.249 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.255 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 1.262 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.262 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.262 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.268 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 1.271 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.275 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.276 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.283 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in y 1.299 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.299 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.304 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.304 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.305 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (sqrt 0.3333333333333333)) in z 1.308 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 1.308 * [approximate]: Approximating (+ (pow x 2) (pow y 2)) in (x y) around 0 1.308 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.308 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.309 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.311 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.314 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.314 * [approximate]: Approximating (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.327 * [approximate]: Approximating (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.342 * * * [progress]: simplifying candidates 1.344 * [simplify]: Simplifying using # : (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0)) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0)) (+ (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt (/ 1 3.0)))) (log (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (exp (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (/ 1 3.0)) (sqrt (/ 1 3.0))) (sqrt (/ 1 3.0)))) (* (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))) (cbrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0)) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0)))) (* (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt 1)) (* (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0)) (* (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt 1)) 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(* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (neg (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) z x (* -1 x) (* z (sqrt 0.3333333333333333)) (* x (sqrt 0.3333333333333333)) (* -1 (* x (sqrt 0.3333333333333333))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 1.462 * * * [progress]: adding candidates to table 1.710 * * [progress]: iteration 3 / 4 1.710 * * * [progress]: picking best candidate 1.724 * * * * [pick]: Picked # 1.724 * * * [progress]: localizing error 1.734 * * * [progress]: generating rewritten candidates 1.734 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 1.739 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.748 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1 1) 1.754 * * * [progress]: generating series expansions 1.754 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 1.754 * [approximate]: Approximating (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0 1.759 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 1.760 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 1.760 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 1.760 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 1.760 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 1.762 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y 1.763 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 1.764 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 1.765 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z 1.767 * [approximate]: Approximating (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 1.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.784 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.792 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.794 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.796 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.796 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.802 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.824 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.824 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.828 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.828 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.828 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.832 * [approximate]: Approximating (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0 1.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.851 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.854 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.854 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.854 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.858 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.860 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.860 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.865 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y 1.880 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.880 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.883 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.883 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.883 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z 1.885 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.885 * [approximate]: Approximating (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in (x y z) around 0 1.897 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in y 1.900 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in z 1.903 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in y 1.903 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in z 1.904 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in z 1.910 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in y 1.914 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in z 1.920 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in z 1.924 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) (/ 1 (sqrt 3.0))) in z 1.933 * [approximate]: Approximating (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in (x y z) around 0 1.957 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in y 1.960 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in y 1.960 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 1.967 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in y 1.974 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 1.974 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 1.974 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 1.981 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in y 1.985 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 1.990 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 1.992 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 2.002 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in y 2.025 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 2.026 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 2.032 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 2.032 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 2.034 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 2.039 * [approximate]: Approximating (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in (x y z) around 0 2.073 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in y 2.076 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in y 2.076 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 2.083 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in y 2.091 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 2.091 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 2.092 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 2.099 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in y 2.104 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 2.111 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 2.113 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 2.123 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in y 2.145 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 2.145 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 2.151 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 2.151 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 2.153 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) (/ 1 (sqrt 3.0))) in z 2.157 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1 1) 2.158 * [approximate]: Approximating (+ (pow x 2) (pow y 2)) in (x y) around 0 2.158 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.158 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.159 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.163 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.164 * [approximate]: Approximating (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.176 * [approximate]: Approximating (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.192 * * * [progress]: simplifying candidates 2.194 * [simplify]: Simplifying using # : (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) (/ 1 2) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (- (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (sqrt 3.0))) (log (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (exp (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (/ (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* (sqrt 3.0) (sqrt 3.0)) (sqrt 3.0))) (* (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))) (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (neg (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (neg (sqrt 3.0)) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0))) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 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y)) (* z z))))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0))) (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0))) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 1)) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0))) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (sqrt 1) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (sqrt 3.0))) (/ (sqrt 1) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (cbrt 3.0))) (/ (sqrt 1) (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt 1) (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (/ (sqrt 1) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ 1 (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (sqrt 3.0))) (/ 1 (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (cbrt 3.0))) (/ 1 (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (/ 1 (sqrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ 1 (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (/ 1 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sqrt 3.0) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt 3.0) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (sqrt 3.0) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (sqrt 3.0) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (sqrt 3.0) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt 3.0) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (sqrt 3.0) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (sqrt 3.0) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))) (* (sqrt 3.0) (sqrt (- (+ (* x x) (* y y)) (* z z)))) (* (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)) z x (* -1 x) (/ z (sqrt 3.0)) (/ x (sqrt 3.0)) (* -1 (/ x (sqrt 3.0))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 2.200 * * [simplify]: iteration 0 : 294 enodes (cost 1188 ) 2.206 * * [simplify]: iteration 1 : 1083 enodes (cost 1124 ) 2.225 * * [simplify]: iteration 2 : 4069 enodes (cost 1101 ) 2.285 * * [simplify]: iteration 3 : 5002 enodes (cost 1101 ) 2.292 * [simplify]: Simplified to: (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3) (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1 (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))) (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))) 1/2 (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (log (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (exp (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (pow (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) 3) (* (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))) (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (pow (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) 3) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (neg (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (neg (sqrt 3.0)) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (fabs (cbrt 3.0)) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0))) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt 3.0))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (/ (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0))) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0))) (/ (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (fabs (cbrt 3.0)) 1)) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0))) (/ (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (sqrt (sqrt 3.0)) 1)) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (sqrt (sqrt 3.0)) 1)) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (fabs (cbrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ 1 (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (sqrt 3.0))) (/ 1 (fabs (cbrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (cbrt 3.0))) (/ 1 (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) 1 (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ 1 (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) 1 (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (fabs (cbrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt 3.0))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ 1 (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (sqrt 3.0))) (/ 1 (fabs (cbrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (cbrt 3.0))) (/ 1 (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) 1 (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ 1 (sqrt (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) 1 (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sqrt 3.0) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (fabs (cbrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (sqrt 3.0))) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt 3.0) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (sqrt 3.0) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (sqrt 3.0) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (sqrt 3.0) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ (sqrt 3.0) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (sqrt 3.0) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (sqrt 3.0) (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))) (* (sqrt 3.0) (sqrt (- (+ (* x x) (* y y)) (* z z)))) (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 (+ (* x x) (* y y)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (neg (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)) z x (* -1 x) (/ z (sqrt 3.0)) (/ x (sqrt 3.0)) (* -1 (/ x (sqrt 3.0))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 2.292 * * * [progress]: adding candidates to table 2.555 * * [progress]: iteration 4 / 4 2.555 * * * [progress]: picking best candidate 2.574 * * * * [pick]: Picked # 2.574 * * * [progress]: localizing error 2.578 * * * [progress]: generating rewritten candidates 2.578 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.584 * * * [progress]: generating series expansions 2.584 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.584 * [approximate]: Approximating (* -1 (/ x (sqrt 3.0))) in (x) around 0 2.608 * [approximate]: Approximating (/ -1 (* x (sqrt 3.0))) in (x) around 0 2.633 * [approximate]: Approximating (/ 1 (* x (sqrt 3.0))) in (x) around 0 2.657 * * * [progress]: simplifying candidates 2.657 * [simplify]: Simplifying using # : (- (+ (log -1) (log x)) (log (sqrt 3.0))) (- (log (* -1 x)) (log (sqrt 3.0))) (log (/ (* -1 x) (sqrt 3.0))) (exp (/ (* -1 x) (sqrt 3.0))) (/ (* (* (* -1 -1) -1) (* (* x x) x)) (* (* (sqrt 3.0) (sqrt 3.0)) (sqrt 3.0))) (/ (* (* (* -1 x) (* -1 x)) (* -1 x)) (* (* (sqrt 3.0) (sqrt 3.0)) (sqrt 3.0))) (* (cbrt (/ (* -1 x) (sqrt 3.0))) (cbrt (/ (* -1 x) (sqrt 3.0)))) (cbrt (/ (* -1 x) (sqrt 3.0))) (* (* (/ (* -1 x) (sqrt 3.0)) (/ (* -1 x) (sqrt 3.0))) (/ (* -1 x) (sqrt 3.0))) (sqrt (/ (* -1 x) (sqrt 3.0))) (sqrt (/ (* -1 x) (sqrt 3.0))) (neg (* -1 x)) (neg (sqrt 3.0)) (/ -1 (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ x (cbrt (sqrt 3.0))) (/ -1 (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ x (sqrt (cbrt 3.0))) (/ -1 (sqrt (sqrt 3.0))) (/ x (sqrt (sqrt 3.0))) (/ -1 (sqrt 1)) (/ x (sqrt 3.0)) (/ -1 (sqrt (sqrt 3.0))) (/ x (sqrt (sqrt 3.0))) (/ -1 1) (/ x (sqrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sqrt 3.0) (* -1 x)) (/ x (sqrt 3.0)) (/ (* -1 x) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ (* -1 x) (sqrt (* (cbrt 3.0) (cbrt 3.0)))) (/ (* -1 x) (sqrt (sqrt 3.0))) (/ (* -1 x) (sqrt 1)) (/ (* -1 x) (sqrt (sqrt 3.0))) (/ (* -1 x) 1) (/ (sqrt 3.0) x) (* -1 (/ x (sqrt 3.0))) (* -1 (/ x (sqrt 3.0))) (* -1 (/ x (sqrt 3.0))) 2.661 * * [simplify]: iteration 0 : 132 enodes (cost 140 ) 2.664 * * [simplify]: iteration 1 : 693 enodes (cost 121 ) 2.683 * * [simplify]: iteration 2 : 4212 enodes (cost 121 ) 2.748 * * [simplify]: iteration 3 : 5001 enodes (cost 121 ) 2.749 * [simplify]: Simplified to: (log (/ (* -1 x) (sqrt 3.0))) (log (/ (* -1 x) (sqrt 3.0))) (log (/ (* -1 x) (sqrt 3.0))) (exp (/ (* -1 x) (sqrt 3.0))) (pow (* -1 (/ x (sqrt 3.0))) 3) (pow (* -1 (/ x (sqrt 3.0))) 3) (* (cbrt (/ (* -1 x) (sqrt 3.0))) (cbrt (/ (* -1 x) (sqrt 3.0)))) (cbrt (/ (* -1 x) (sqrt 3.0))) (pow (* -1 (/ x (sqrt 3.0))) 3) (sqrt (/ (* -1 x) (sqrt 3.0))) (sqrt (/ (* -1 x) (sqrt 3.0))) x (/ (sqrt 3.0) -1) (/ -1 (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ x (cbrt (sqrt 3.0))) (/ -1 (fabs (cbrt 3.0))) (/ x (sqrt (cbrt 3.0))) (/ -1 (sqrt (sqrt 3.0))) (/ x (sqrt (sqrt 3.0))) -1 (/ x (sqrt 3.0)) (/ -1 (sqrt (sqrt 3.0))) (/ x (sqrt (sqrt 3.0))) -1 (/ x (sqrt 3.0)) (/ 1 (sqrt 3.0)) (/ (sqrt 3.0) (* -1 x)) (/ x (sqrt 3.0)) (/ (* -1 x) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (/ -1 (/ (fabs (cbrt 3.0)) x)) (/ (* -1 x) (sqrt (sqrt 3.0))) (* -1 x) (/ (* -1 x) (sqrt (sqrt 3.0))) (* -1 x) (/ (sqrt 3.0) x) (* -1 (/ x (sqrt 3.0))) (* -1 (/ x (sqrt 3.0))) (* -1 (/ x (sqrt 3.0))) 2.750 * * * [progress]: adding candidates to table 2.788 * [progress]: [Phase 3 of 3] Extracting. 2.788 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 2.789 * * * [regime-changes]: Trying 8 branch expressions: ((* z z) (* y y) (* x x) (+ (* x x) (* y y)) (+ (+ (* x x) (* y y)) (* z z)) z y x) 2.789 * * * * [regimes]: Trying to branch on (* z z) from (# # # # # # # # # # # #) 2.870 * * * * [regimes]: Trying to branch on (* z z) from (# # # # # # # # # #) 2.946 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # # # # # #) 3.027 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # # # # # # #) 3.109 * * * * [regimes]: Trying to branch on (* x x) from (# # # #) 3.156 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # # # # # # # # # #) 3.288 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (# # # #) 3.336 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (# # # # # # # # # # # #) 3.416 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (# #) 3.453 * * * * [regimes]: Trying to branch on z from (# # # # # # # # # # # #) 3.579 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # # #) 3.675 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 3.771 * * * [regime]: Found split indices: #