22.336 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.027 * * [simplify]: iteration 0 : 13 enodes (cost 7 ) 0.028 * * [simplify]: iteration 1 : 23 enodes (cost 6 ) 0.029 * * [simplify]: iteration 2 : 35 enodes (cost 4 ) 0.030 * * [simplify]: iteration 3 : 45 enodes (cost 4 ) 0.032 * * [simplify]: iteration 4 : 54 enodes (cost 4 ) 0.033 * * [simplify]: iteration 5 : 87 enodes (cost 4 ) 0.035 * * [simplify]: iteration 6 : 156 enodes (cost 4 ) 0.037 * * [simplify]: iteration 7 : 206 enodes (cost 4 ) 0.039 * * [simplify]: iteration 8 : 219 enodes (cost 4 ) 0.042 * * [simplify]: iteration 9 : 314 enodes (cost 4 ) 0.047 * * [simplify]: iteration 10 : 644 enodes (cost 4 ) 0.076 * * [simplify]: iteration 11 : 3183 enodes (cost 4 ) 0.297 * * [simplify]: iteration 12 : 5001 enodes (cost 4 ) 0.298 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.301 * * [progress]: iteration 1 / 4 0.301 * * * [progress]: picking best candidate 0.305 * * * * [pick]: Picked # 0.305 * * * [progress]: localizing error 0.310 * * * [progress]: generating rewritten candidates 0.310 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.315 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.320 * * * [progress]: generating series expansions 0.320 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.321 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.321 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.321 * [taylor]: Taking taylor expansion of 3 in y 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.321 * [taylor]: Taking taylor expansion of 3 in y 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.321 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.321 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.321 * [taylor]: Taking taylor expansion of 3 in y 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.321 * [taylor]: Taking taylor expansion of 3 in y 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.322 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.322 * [taylor]: Taking taylor expansion of 3 in y 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.322 * [taylor]: Taking taylor expansion of 3 in y 0.322 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.323 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.323 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.323 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.323 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.323 * [taylor]: Taking taylor expansion of 3 in x 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.324 * [taylor]: Taking taylor expansion of x in y 0.324 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.324 * [taylor]: Taking taylor expansion of 3 in y 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.324 * [taylor]: Taking taylor expansion of x in y 0.324 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.324 * [taylor]: Taking taylor expansion of 3 in y 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of 0 in x 0.324 * [taylor]: Taking taylor expansion of 3 in x 0.324 * [taylor]: Taking taylor expansion of 0 in x 0.324 * [taylor]: Taking taylor expansion of 0 in x 0.325 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.325 * [taylor]: Taking taylor expansion of 3 in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.325 * [taylor]: Taking taylor expansion of 3 in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.325 * [taylor]: Taking taylor expansion of 3 in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of 3 in x 0.326 * [taylor]: Taking taylor expansion of 0 in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of 0 in x 0.327 * [taylor]: Taking taylor expansion of 0 in x 0.327 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.327 * [taylor]: Taking taylor expansion of 3 in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.327 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.327 * [taylor]: Taking taylor expansion of 3 in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.328 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.328 * [taylor]: Taking taylor expansion of 3 in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of 3 in x 0.328 * [taylor]: Taking taylor expansion of 0 in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of 0 in x 0.329 * [taylor]: Taking taylor expansion of 0 in x 0.329 * * * [progress]: simplifying candidates 0.330 * [simplify]: Simplifying using # : (* 3 (* y y)) (* 3 (* y y)) (+ (log 3) (+ (log y) (log y))) (+ (log 3) (log (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* (* (* 3 3) 3) (* (* (* y y) y) (* (* y y) y))) (* (* (* 3 3) 3) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* (* (* 3 (* y y)) (* 3 (* y y))) (* 3 (* y y))) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (* (exp (* 3 (* y y))) (exp (* x x))) (log (+ (* 3 (* y y)) (* x x))) (exp (+ (* 3 (* y y)) (* x x))) (* (cbrt (+ (* 3 (* y y)) (* x x))) (cbrt (+ (* 3 (* y y)) (* x x)))) (cbrt (+ (* 3 (* y y)) (* x x))) (* (* (+ (* 3 (* y y)) (* x x)) (+ (* 3 (* y y)) (* x x))) (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))) (+ (pow (* 3 (* y y)) 3) (pow (* x x) 3)) (+ (* (* 3 (* y y)) (* 3 (* y y))) (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* x x)))) (- (* (* 3 (* y y)) (* 3 (* y y))) (* (* x x) (* x x))) (- (* 3 (* y y)) (* x x)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.333 * * [simplify]: iteration 0 : 164 enodes (cost 163 ) 0.336 * * [simplify]: iteration 1 : 658 enodes (cost 146 ) 0.347 * * [simplify]: iteration 2 : 2429 enodes (cost 139 ) 0.405 * * [simplify]: iteration 3 : 5003 enodes (cost 139 ) 0.407 * [simplify]: Simplified to: (* 3 (* y y)) (* 3 (* y y)) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* 27 (pow y 6)) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (exp (+ (* 3 (* y y)) (* x x))) (log (+ (* 3 (* y y)) (* x x))) (exp (+ (* 3 (* y y)) (* x x))) (* (cbrt (+ (* 3 (* y y)) (* x x))) (cbrt (+ (* 3 (* y y)) (* x x)))) (cbrt (+ (* 3 (* y y)) (* x x))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))) (+ (* 27 (pow y 6)) (pow x 6)) (+ (+ (* 9 (pow y 4)) (* -3 (* (pow y 2) (pow x 2)))) (pow x 4)) (+ (* (neg (pow x 3)) x) (* (* 9 (pow y 3)) y)) (- (* 3 (* y y)) (* x x)) (* 3 (* y y)) (* 3 (* y y)) (* 3 (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.408 * * * [progress]: adding candidates to table 0.451 * * [progress]: iteration 2 / 4 0.451 * * * [progress]: picking best candidate 0.465 * * * * [pick]: Picked # 0.465 * * * [progress]: localizing error 0.471 * * * [progress]: generating rewritten candidates 0.471 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.477 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.481 * * * [progress]: generating series expansions 0.481 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.482 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.482 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.482 * [taylor]: Taking taylor expansion of 3 in y 0.482 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.482 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.482 * [taylor]: Taking taylor expansion of 3 in y 0.482 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.482 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.482 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.482 * [taylor]: Taking taylor expansion of 3 in y 0.482 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.483 * [taylor]: Taking taylor expansion of 3 in y 0.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.483 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.483 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.483 * [taylor]: Taking taylor expansion of 3 in y 0.483 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.483 * [taylor]: Taking taylor expansion of y in y 0.484 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.484 * [taylor]: Taking taylor expansion of 3 in y 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.484 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.484 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.484 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.485 * [taylor]: Taking taylor expansion of 3 in x 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.485 * [taylor]: Taking taylor expansion of y in x 0.485 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.485 * [taylor]: Taking taylor expansion of x in y 0.485 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.485 * [taylor]: Taking taylor expansion of 3 in y 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.485 * [taylor]: Taking taylor expansion of x in y 0.485 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.485 * [taylor]: Taking taylor expansion of 3 in y 0.485 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.485 * [taylor]: Taking taylor expansion of 0 in x 0.485 * [taylor]: Taking taylor expansion of 3 in x 0.485 * [taylor]: Taking taylor expansion of 0 in x 0.485 * [taylor]: Taking taylor expansion of 0 in x 0.486 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.486 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.486 * [taylor]: Taking taylor expansion of 3 in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.486 * [taylor]: Taking taylor expansion of y in x 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.486 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.486 * [taylor]: Taking taylor expansion of x in y 0.486 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.486 * [taylor]: Taking taylor expansion of 3 in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.486 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.486 * [taylor]: Taking taylor expansion of x in y 0.486 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.486 * [taylor]: Taking taylor expansion of 3 in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of 3 in x 0.487 * [taylor]: Taking taylor expansion of 0 in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of 0 in x 0.488 * [taylor]: Taking taylor expansion of 0 in x 0.488 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.488 * [taylor]: Taking taylor expansion of 3 in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.488 * [taylor]: Taking taylor expansion of x in y 0.488 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.488 * [taylor]: Taking taylor expansion of 3 in y 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.488 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.488 * [taylor]: Taking taylor expansion of x in y 0.489 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.489 * [taylor]: Taking taylor expansion of 3 in y 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.489 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.489 * [taylor]: Taking taylor expansion of y in y 0.489 * [taylor]: Taking taylor expansion of 3 in x 0.489 * [taylor]: Taking taylor expansion of 0 in x 0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.489 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.489 * [taylor]: Taking taylor expansion of x in x 0.489 * [taylor]: Taking taylor expansion of 0 in x 0.490 * [taylor]: Taking taylor expansion of 0 in x 0.490 * * * [progress]: simplifying candidates 0.490 * [simplify]: Simplifying using # : (* (* 3 y) y) (* (* 3 y) y) (+ (+ (log 3) (log y)) (log y)) (+ (log (* 3 y)) (log y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* (* (* (* 3 3) 3) (* (* y y) y)) (* (* y y) y)) (* (* (* (* 3 y) (* 3 y)) (* 3 y)) (* (* y y) y)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* (* (* (* 3 y) y) (* (* 3 y) y)) (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* (* 3 y) 1) (* y y) (* (exp (* (* 3 y) y)) (exp (* x x))) (log (+ (* (* 3 y) y) (* x x))) (exp (+ (* (* 3 y) y) (* x x))) (* (cbrt (+ (* (* 3 y) y) (* x x))) (cbrt (+ (* (* 3 y) y) (* x x)))) (cbrt (+ (* (* 3 y) y) (* x x))) (* (* (+ (* (* 3 y) y) (* x x)) (+ (* (* 3 y) y) (* x x))) (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3)) (+ (* (* (* 3 y) y) (* (* 3 y) y)) (- (* (* x x) (* x x)) (* (* (* 3 y) y) (* x x)))) (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* x x))) (- (* (* 3 y) y) (* x x)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.493 * * [simplify]: iteration 0 : 173 enodes (cost 161 ) 0.497 * * [simplify]: iteration 1 : 854 enodes (cost 144 ) 0.518 * * [simplify]: iteration 2 : 4082 enodes (cost 139 ) 0.610 * * [simplify]: iteration 3 : 5001 enodes (cost 138 ) 0.611 * [simplify]: Simplified to: (* (* 3 y) y) (* (* 3 y) y) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* 27 (pow y 6)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (pow y 3/2) 3) (* 3 y) (pow y 2) (exp (+ (* (* 3 y) y) (* x x))) (log (+ (* (* 3 y) y) (* x x))) (exp (+ (* (* 3 y) y) (* x x))) (* (cbrt (+ (* (* 3 y) y) (* x x))) (cbrt (+ (* (* 3 y) y) (* x x)))) (cbrt (+ (* (* 3 y) y) (* x x))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3)) (+ (* (* (* 3 y) y) (- (* (* 3 y) y) (* x x))) (pow x 4)) (+ (* (neg (pow x 3)) x) (* (* 9 (pow y 2)) (pow y 2))) (- (* (* 3 y) y) (* x x)) (* (* 3 y) y) (* (* 3 y) y) (* (* 3 y) y) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.612 * * * [progress]: adding candidates to table 0.642 * * [progress]: iteration 3 / 4 0.642 * * * [progress]: picking best candidate 0.656 * * * * [pick]: Picked # 0.656 * * * [progress]: localizing error 0.663 * * * [progress]: generating rewritten candidates 0.664 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.672 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.675 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.681 * * * [progress]: generating series expansions 0.681 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.681 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.681 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.681 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.681 * [taylor]: Taking taylor expansion of x in y 0.681 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.681 * [taylor]: Taking taylor expansion of 3 in y 0.681 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.681 * [taylor]: Taking taylor expansion of y in y 0.681 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.681 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.681 * [taylor]: Taking taylor expansion of 3 in x 0.681 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.681 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.681 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.681 * [taylor]: Taking taylor expansion of 3 in x 0.681 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.682 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.682 * [taylor]: Taking taylor expansion of 3 in y 0.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.682 * [taylor]: Taking taylor expansion of y in y 0.682 * [taylor]: Taking taylor expansion of 0 in y 0.682 * [taylor]: Taking taylor expansion of 1 in y 0.682 * [taylor]: Taking taylor expansion of 0 in y 0.682 * [taylor]: Taking taylor expansion of 0 in y 0.683 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.683 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.683 * [taylor]: Taking taylor expansion of x in y 0.683 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.683 * [taylor]: Taking taylor expansion of 3 in y 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.683 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.683 * [taylor]: Taking taylor expansion of y in y 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.683 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.683 * [taylor]: Taking taylor expansion of 3 in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.683 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.683 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.683 * [taylor]: Taking taylor expansion of 3 in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.683 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.683 * [taylor]: Taking taylor expansion of y in x 0.684 * [taylor]: Taking taylor expansion of 1 in y 0.684 * [taylor]: Taking taylor expansion of 0 in y 0.684 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.684 * [taylor]: Taking taylor expansion of 3 in y 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.684 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.684 * [taylor]: Taking taylor expansion of y in y 0.684 * [taylor]: Taking taylor expansion of 0 in y 0.685 * [taylor]: Taking taylor expansion of 0 in y 0.685 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.685 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.685 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.685 * [taylor]: Taking taylor expansion of x in y 0.686 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.686 * [taylor]: Taking taylor expansion of 3 in y 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.686 * [taylor]: Taking taylor expansion of y in y 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.686 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.686 * [taylor]: Taking taylor expansion of 3 in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.686 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.686 * [taylor]: Taking taylor expansion of y in x 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.686 * [taylor]: Taking taylor expansion of x in x 0.686 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.686 * [taylor]: Taking taylor expansion of 3 in x 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.686 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.686 * [taylor]: Taking taylor expansion of y in x 0.686 * [taylor]: Taking taylor expansion of 1 in y 0.686 * [taylor]: Taking taylor expansion of 0 in y 0.686 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.686 * [taylor]: Taking taylor expansion of 3 in y 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.686 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.686 * [taylor]: Taking taylor expansion of y in y 0.687 * [taylor]: Taking taylor expansion of 0 in y 0.687 * [taylor]: Taking taylor expansion of 0 in y 0.688 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.688 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.688 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.688 * [taylor]: Taking taylor expansion of x in y 0.688 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.688 * [taylor]: Taking taylor expansion of y in y 0.688 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.688 * [taylor]: Taking taylor expansion of y in x 0.688 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.688 * [taylor]: Taking taylor expansion of y in y 0.688 * [taylor]: Taking taylor expansion of 0 in y 0.688 * [taylor]: Taking taylor expansion of 1 in y 0.688 * [taylor]: Taking taylor expansion of 0 in y 0.689 * [taylor]: Taking taylor expansion of 0 in y 0.689 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.689 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.689 * [taylor]: Taking taylor expansion of x in y 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.689 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.689 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.689 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.689 * [taylor]: Taking taylor expansion of y in x 0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.689 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.689 * [taylor]: Taking taylor expansion of x in x 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.689 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.689 * [taylor]: Taking taylor expansion of y in x 0.689 * [taylor]: Taking taylor expansion of 1 in y 0.690 * [taylor]: Taking taylor expansion of 0 in y 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.690 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.690 * [taylor]: Taking taylor expansion of y in y 0.690 * [taylor]: Taking taylor expansion of 0 in y 0.690 * [taylor]: Taking taylor expansion of 0 in y 0.691 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.691 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.691 * [taylor]: Taking taylor expansion of x in y 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.691 * [taylor]: Taking taylor expansion of y in y 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.691 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.691 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.691 * [taylor]: Taking taylor expansion of y in x 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.691 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.691 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.691 * [taylor]: Taking taylor expansion of y in x 0.691 * [taylor]: Taking taylor expansion of 1 in y 0.692 * [taylor]: Taking taylor expansion of 0 in y 0.692 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.692 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.692 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of 0 in y 0.692 * [taylor]: Taking taylor expansion of 0 in y 0.693 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.693 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 0.693 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 0.693 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.693 * [taylor]: Taking taylor expansion of x in y 0.693 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.693 * [taylor]: Taking taylor expansion of 2 in y 0.693 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.693 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.693 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.693 * [taylor]: Taking taylor expansion of 2 in x 0.693 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.693 * [taylor]: Taking taylor expansion of y in x 0.693 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 0.693 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 0.693 * [taylor]: Taking taylor expansion of 2 in x 0.693 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.693 * [taylor]: Taking taylor expansion of y in x 0.693 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 0.693 * [taylor]: Taking taylor expansion of 2 in y 0.693 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.693 * [taylor]: Taking taylor expansion of y in y 0.694 * [taylor]: Taking taylor expansion of 0 in y 0.694 * [taylor]: Taking taylor expansion of 1 in y 0.694 * [taylor]: Taking taylor expansion of 0 in y 0.694 * [taylor]: Taking taylor expansion of 0 in y 0.694 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.695 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.695 * [taylor]: Taking taylor expansion of x in y 0.695 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.695 * [taylor]: Taking taylor expansion of 2 in y 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.695 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.695 * [taylor]: Taking taylor expansion of 2 in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.695 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.695 * [taylor]: Taking taylor expansion of 2 in x 0.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.695 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.695 * [taylor]: Taking taylor expansion of y in x 0.695 * [taylor]: Taking taylor expansion of 1 in y 0.695 * [taylor]: Taking taylor expansion of 0 in y 0.696 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.696 * [taylor]: Taking taylor expansion of 2 in y 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.696 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.696 * [taylor]: Taking taylor expansion of y in y 0.696 * [taylor]: Taking taylor expansion of 0 in y 0.696 * [taylor]: Taking taylor expansion of 0 in y 0.697 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.697 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.697 * [taylor]: Taking taylor expansion of x in y 0.697 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.697 * [taylor]: Taking taylor expansion of 2 in y 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.697 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.697 * [taylor]: Taking taylor expansion of y in y 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.697 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.697 * [taylor]: Taking taylor expansion of 2 in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.697 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.697 * [taylor]: Taking taylor expansion of y in x 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.697 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 0.698 * [taylor]: Taking taylor expansion of 2 in x 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.698 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.698 * [taylor]: Taking taylor expansion of y in x 0.698 * [taylor]: Taking taylor expansion of 1 in y 0.698 * [taylor]: Taking taylor expansion of 0 in y 0.698 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.698 * [taylor]: Taking taylor expansion of 2 in y 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.698 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.698 * [taylor]: Taking taylor expansion of y in y 0.698 * [taylor]: Taking taylor expansion of 0 in y 0.699 * [taylor]: Taking taylor expansion of 0 in y 0.699 * * * [progress]: simplifying candidates 0.700 * [simplify]: Simplifying using # : (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* 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)) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 0.703 * * [simplify]: iteration 0 : 218 enodes (cost 352 ) 0.708 * * [simplify]: iteration 1 : 1048 enodes (cost 312 ) 0.726 * * [simplify]: iteration 2 : 4094 enodes (cost 291 ) 0.818 * * [simplify]: iteration 3 : 5002 enodes (cost 280 ) 0.820 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (pow (+ (+ (* x x) (* y y)) (* y (+ y y))) 3) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (pow y 4) (* (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (pow y 2)))) (* (+ (pow x 2) (pow y 2)) (+ (+ (* x x) (* y y)) (* y (+ y y)))) (+ (pow x 2) (pow y 2)) (* y (+ 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 (+ (* 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)) (exp (+ (pow x 2) (* y (+ y y)))) (exp (+ (pow x 2) (* y (+ y y)))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (pow x 2) (* y (+ y y)))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (pow (+ (pow x 2) (* y (+ y y))) 3) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (pow x 2) (+ (* x x) (* y y))) (pow y 4)) (* (pow x 2) (+ (pow x 2) (* y (+ y y)))) (pow x 2) (* y (+ y y)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) (+ (pow x 2) (* y (+ y y))) 0.821 * * * [progress]: adding candidates to table 0.867 * * [progress]: iteration 4 / 4 0.867 * * * [progress]: picking best candidate 0.878 * * * * [pick]: Picked # 0.879 * * * [progress]: localizing error 0.887 * * * [progress]: generating rewritten candidates 0.887 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.893 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.904 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.917 * * * [progress]: generating series expansions 0.917 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.917 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 0.917 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 0.917 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.917 * [taylor]: Taking taylor expansion of 3 in y 0.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.917 * [taylor]: Taking taylor expansion of y in y 0.917 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 0.917 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.917 * [taylor]: Taking taylor expansion of 3 in y 0.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.917 * [taylor]: Taking taylor expansion of y in y 0.918 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 0.918 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.918 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.918 * [taylor]: Taking taylor expansion of 3 in y 0.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.919 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.919 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.919 * [taylor]: Taking taylor expansion of 3 in y 0.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.920 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 0.920 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.920 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.920 * [taylor]: Taking taylor expansion of 3 in y 0.922 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 0.922 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.922 * [taylor]: Taking taylor expansion of 3 in y 0.922 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.924 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.924 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.924 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.924 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.924 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.924 * [taylor]: Taking taylor expansion of 3 in y 0.924 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.924 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.924 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.924 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.924 * [taylor]: Taking taylor expansion of 3 in y 0.924 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.927 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.927 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.927 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.927 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.927 * [taylor]: Taking taylor expansion of 3 in y 0.927 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.927 * [taylor]: Taking taylor expansion of y in y 0.927 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.927 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.927 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.927 * [taylor]: Taking taylor expansion of 3 in y 0.927 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.927 * [taylor]: Taking taylor expansion of y in y 0.930 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 0.930 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.930 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.930 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.930 * [taylor]: Taking taylor expansion of 3 in y 0.930 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.930 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.930 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.930 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.930 * [taylor]: Taking taylor expansion of 3 in y 0.930 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.932 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.933 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (y x) around 0 0.933 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 0.933 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 0.933 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.933 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.933 * [taylor]: Taking taylor expansion of 3 in x 0.933 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.933 * [taylor]: Taking taylor expansion of y in x 0.933 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 0.933 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.933 * [taylor]: Taking taylor expansion of x in y 0.933 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.933 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.933 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.933 * [taylor]: Taking taylor expansion of 3 in y 0.933 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 0.933 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.933 * [taylor]: Taking taylor expansion of x in y 0.933 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 0.933 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.933 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.933 * [taylor]: Taking taylor expansion of 3 in y 0.933 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.933 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.933 * [taylor]: Taking taylor expansion of x in x 0.933 * [taylor]: Taking taylor expansion of 0 in x 0.934 * [taylor]: Taking taylor expansion of 3 in x 0.934 * [taylor]: Taking taylor expansion of 0 in x 0.934 * [taylor]: Taking taylor expansion of 0 in x 0.935 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.935 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 0.935 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 0.935 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.935 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.935 * [taylor]: Taking taylor expansion of 3 in x 0.935 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.935 * [taylor]: Taking taylor expansion of y in x 0.935 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.935 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.935 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.935 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.935 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.935 * [taylor]: Taking taylor expansion of 3 in y 0.935 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.935 * [taylor]: Taking taylor expansion of y in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.936 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.936 * [taylor]: Taking taylor expansion of x in y 0.936 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.936 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.936 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.936 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.936 * [taylor]: Taking taylor expansion of 3 in y 0.936 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.936 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.936 * [taylor]: Taking taylor expansion of x in y 0.936 * [taylor]: Taking taylor expansion of 3 in x 0.936 * [taylor]: Taking taylor expansion of 0 in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.937 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of 0 in x 0.938 * [taylor]: Taking taylor expansion of 0 in x 0.938 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 0.938 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 0.939 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 0.939 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 0.939 * [taylor]: Taking taylor expansion of (cbrt 3) in x 0.939 * [taylor]: Taking taylor expansion of 3 in x 0.939 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.939 * [taylor]: Taking taylor expansion of y in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.939 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.939 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.939 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.939 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.939 * [taylor]: Taking taylor expansion of 3 in y 0.939 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.939 * [taylor]: Taking taylor expansion of y in y 0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.939 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.939 * [taylor]: Taking taylor expansion of x in y 0.939 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 0.939 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 0.940 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 0.940 * [taylor]: Taking taylor expansion of (cbrt 3) in y 0.940 * [taylor]: Taking taylor expansion of 3 in y 0.940 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.940 * [taylor]: Taking taylor expansion of y in y 0.940 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.940 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.940 * [taylor]: Taking taylor expansion of x in y 0.940 * [taylor]: Taking taylor expansion of 3 in x 0.940 * [taylor]: Taking taylor expansion of 0 in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.941 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of 0 in x 0.942 * [taylor]: Taking taylor expansion of 0 in x 0.942 * * * [progress]: simplifying candidates 0.943 * [simplify]: Simplifying using # : (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (+ (log (cbrt 3)) (+ (log y) (log y))) (+ (log (cbrt 3)) (log (* y y))) (log (* (cbrt 3) (* y y))) (exp (* (cbrt 3) (* y y))) (* 3 (* (* (* y y) y) (* (* y y) y))) (* 3 (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* (cbrt 3) (* y y))) (cbrt (* (cbrt 3) (* y y)))) (cbrt (* (cbrt 3) (* y y))) (* (* (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y))) (sqrt (* (cbrt 3) (* y y))) (sqrt (* (cbrt 3) (* y y))) (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y) (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y) (* (cbrt 3) y) (* (cbrt (cbrt 3)) (* y y)) (* (cbrt (sqrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* (cbrt (cbrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (+ (log (cbrt 3)) (+ (log y) (log y)))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (+ (log (cbrt 3)) (log (* y y)))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (log (* (cbrt 3) (* y y)))) (+ (log (* (cbrt 3) (cbrt 3))) (+ (log (cbrt 3)) (+ (log y) (log y)))) (+ (log (* (cbrt 3) (cbrt 3))) (+ (log (cbrt 3)) (log (* y y)))) (+ (log (* (cbrt 3) (cbrt 3))) (log (* (cbrt 3) (* y y)))) (log (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (exp (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* 3 3) (* 3 (* (* (* y y) y) (* (* y y) y)))) (* (* 3 3) (* 3 (* (* (* y y) (* y y)) (* y y)))) (* (* 3 3) (* (* (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* 3 (* (* (* y y) y) (* (* y y) y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* 3 (* (* (* y y) (* y y)) (* y y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* (* (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y)))) (* (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* (cbrt 3) (cbrt 3)) (cbrt 3)) (* (cbrt 3) (* (cbrt 3) (* y y))) (* (exp (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (exp (* x x))) (log (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (* (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (* (* (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)) (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (+ (pow (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) 3) (pow (* x x) 3)) (+ (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (- (* (* x x) (* x x)) (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)))) (- (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* x x) (* x x))) (- (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.947 * * [simplify]: iteration 0 : 263 enodes (cost 553 ) 0.952 * * [simplify]: iteration 1 : 1076 enodes (cost 421 ) 0.979 * * [simplify]: iteration 2 : 5001 enodes (cost 365 ) 0.981 * [simplify]: Simplified to: (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (log (* (cbrt 3) (* y y))) (log (* (cbrt 3) (* y y))) (log (* (cbrt 3) (* y y))) (exp (* (cbrt 3) (* y y))) (* (pow y 6) 3) (* (pow y 6) 3) (* (cbrt (* (cbrt 3) (* y y))) (cbrt (* (cbrt 3) (* y y)))) (cbrt (* (cbrt 3) (* y y))) (* (pow y 6) 3) (sqrt (* (cbrt 3) (* y y))) (sqrt (* (cbrt 3) (* y y))) (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y) (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y) (* (cbrt 3) y) (* (cbrt (cbrt 3)) (* y y)) (* (cbrt (sqrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* (cbrt (cbrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (+ (log (* y y)) (* 3 (log (cbrt 3)))) (pow (exp (* (pow (cbrt 3) 3) y)) y) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* 27 (pow y 6)) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) 3 (* (cbrt 3) (* (cbrt 3) (* y y))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (log (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (* (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (pow (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)) 3) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (+ (pow (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) 3) (pow (* x x) 3)) (+ (+ (* (pow y 4) (pow (* (cbrt 3) (cbrt 3)) 3)) (* -3 (* (pow y 2) (pow x 2)))) (pow x 4)) (+ (* (neg (pow x 3)) x) (* (pow (* (cbrt 3) (cbrt 3)) 3) (* (* y y) (* y y)))) (+ (* (* (pow (cbrt 3) 3) y) y) (neg (pow x 2))) (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (* y (* y 3)) (* y (* y 3)) (* y (* y 3)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.982 * * * [progress]: adding candidates to table 1.066 * [progress]: [Phase 3 of 3] Extracting. 1.066 * * [regime]: Finding splitpoints for: (# # # # # #) 1.067 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 1.067 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 1.109 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 1.142 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 1.183 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # # #) 1.227 * * * * [regimes]: Trying to branch on y from (# # # # # #) 1.271 * * * * [regimes]: Trying to branch on x from (# # # # # #) 1.315 * * * [regime]: Found split indices: #